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Q: # 1:
a) The time taken to complete jobs of a particular type is known to be
Normal distributed with mean 6.4 hours and standard deviation 1.2 hours.
What is the probability that a randomly selected job less then 7 hours
takes. (5)
b) A Normal distribution (N) has mean 140 and standard Deviation 8. Find
probability if N less then 156. Pr ( N < 156 ). (5)
Q: # 2:
What is the normal cumulative function for a z-value =0.38? Use suitable
EXCEL function for calculation. (5)
Q: # 3:
Find the inverse of the standard normal cumulative distribution when
arithmetic mean is 45, standard deviation is 1.25 and the probability
corresponding to the normal distribution is 0.65. (5)
For Practice (Ungraded Questions)
Q: # 1
A Normal distribution has mean 56 and Standard deviation 12. if an item is
picked at random from the distribution, what is the probability that its
value will be;
a) Less then 30;
b) Greater then 80.
Q: # 2
What is the normal cumulative function for a z-value =2.73? Use suitable
EXCEL function for calculation.
Q: 3
The weight of a metal components produce by a machine are distributed
normally with mean 14 lbs and standard Deviation 0.12lbs. What is the
probability that a component sampled randomly from production will have a
weight greater then 14.3 lbs.
Regards Vuhelps
Showing posts with label mth302. Show all posts
Showing posts with label mth302. Show all posts
Friday, July 10, 2009
MTH302 9th july updated
Kindly do make vuhelps your default page and keep viewing it to get up to date information about current fresh exams. Also follow the blog. Send your papers to make them here uptodate at vuhelps@gmail.com or feel free to call at 03455242488
a) A shopkeeper borrowed Rs 20000 from two money lenders, he paid X% interest on first loan and (X+2)% interest on second loan per annum. Where 6 ≤ X ≤ 25. After one year if he paid rupees 2500 in total then how much rupees he borrowed from each lender. Marks 4 b) Find the compounded interest rate percent per annum, if Rs 2000 amounted to Rs 3000 in y years ; y = 2, 3 ,4 (choose any one of them), Interest is considered half –yearly. Marks 4
c) Take x number of persons in any three families and divide each family in three categories No of men, No of women, No of children, and make their matrix. ( where 6 ≤ X ≤ 17) Since the recommended daily requirement of calories for three categories is Men = 2500gm, Women = 2000gm, Children = 1800gm, And the requirement of protein for three categories is Men = 55gm, Women = 45gm, children = 35gm, Find the total requirement of calories and protein for each family, by using multiplication function of matrices in Excel.
a) Suppose you purchase a car, the cost of car is last six digits of your VU ID, if useful life of the car is 5 years and the value of car at the end of deprecation is 25% of cost of the car then finds deprecation for each year by using Excel function.
b) Suppose a set of 50 cards numbered with 20 to 70 (Take integers only) , select 10 cards from them and make a data array of integers then find Mean, Median and Mode of the data.
Take the each batsman score of batting line up of one inning from any cricket match you like in which at least 10 batsmen had made scores, make the data array of scores (Runs), from this data, a) Find standard deviation and Variance. Marks 5 b) Find all Quartiles and Quartile Deviation.
The National Logistic Cell (NLC) is studying the relationship between the number of bidders on a highway project and the winning (lowest) bid for the project. i) Sketch the original data on the graph. Marks 2 ii) Determine is there any degree of association between number of bidders and the winning (lowest) bid? And what type of association is there between the number of bidders and the winning (lowest) bid. Marks 4 iii) Determine the mathematical equation of the winning (lowest) bid on the number of bidders on a highway project. Then also estimate the amount of the winning bid if there are seven bidders.
X=Number of Bidders Y=Winning Bid ($) 19 L(1000000) 19 (L+3)1000000 13 (L+4.7)1000000 20 (L+2.8)1000000 15 (L+2.7)1000000 20 (L+0.5)1000000 17 (L+3.3)1000000 21 (L+5.2)1000000 16 (L+0.5)1000000
16 (L+5.3)1000000 14 (L+3.0)1000000 17 (L+3.8)1000000 17 (L+4.4)1000000 17 (L+3.6)1000000 16 (L+3.1)1000000
Note: Where 5
Regards Vuhelps
a) A shopkeeper borrowed Rs 20000 from two money lenders, he paid X% interest on first loan and (X+2)% interest on second loan per annum. Where 6 ≤ X ≤ 25. After one year if he paid rupees 2500 in total then how much rupees he borrowed from each lender. Marks 4 b) Find the compounded interest rate percent per annum, if Rs 2000 amounted to Rs 3000 in y years ; y = 2, 3 ,4 (choose any one of them), Interest is considered half –yearly. Marks 4
c) Take x number of persons in any three families and divide each family in three categories No of men, No of women, No of children, and make their matrix. ( where 6 ≤ X ≤ 17) Since the recommended daily requirement of calories for three categories is Men = 2500gm, Women = 2000gm, Children = 1800gm, And the requirement of protein for three categories is Men = 55gm, Women = 45gm, children = 35gm, Find the total requirement of calories and protein for each family, by using multiplication function of matrices in Excel.
a) Suppose you purchase a car, the cost of car is last six digits of your VU ID, if useful life of the car is 5 years and the value of car at the end of deprecation is 25% of cost of the car then finds deprecation for each year by using Excel function.
b) Suppose a set of 50 cards numbered with 20 to 70 (Take integers only) , select 10 cards from them and make a data array of integers then find Mean, Median and Mode of the data.
Take the each batsman score of batting line up of one inning from any cricket match you like in which at least 10 batsmen had made scores, make the data array of scores (Runs), from this data, a) Find standard deviation and Variance. Marks 5 b) Find all Quartiles and Quartile Deviation.
The National Logistic Cell (NLC) is studying the relationship between the number of bidders on a highway project and the winning (lowest) bid for the project. i) Sketch the original data on the graph. Marks 2 ii) Determine is there any degree of association between number of bidders and the winning (lowest) bid? And what type of association is there between the number of bidders and the winning (lowest) bid. Marks 4 iii) Determine the mathematical equation of the winning (lowest) bid on the number of bidders on a highway project. Then also estimate the amount of the winning bid if there are seven bidders.
X=Number of Bidders Y=Winning Bid ($) 19 L(1000000) 19 (L+3)1000000 13 (L+4.7)1000000 20 (L+2.8)1000000 15 (L+2.7)1000000 20 (L+0.5)1000000 17 (L+3.3)1000000 21 (L+5.2)1000000 16 (L+0.5)1000000
16 (L+5.3)1000000 14 (L+3.0)1000000 17 (L+3.8)1000000 17 (L+4.4)1000000 17 (L+3.6)1000000 16 (L+3.1)1000000
Note: Where 5
Regards Vuhelps
Wednesday, July 8, 2009
MTH 302 7th july update 2
Kindly do make vuhelps your default page and keep viewing it to get up to date information about current fresh exams. Also follow the blog. Send your papers to make them here uptodate at vuhelps@gmail.com or feel free to call at 03455242488
Q: # 1:
a) The time taken to complete jobs of a particular type is known to be Normal distributed with mean 6.4 hours and standard deviation 1.2 hours. What is the probability that a randomly selected job less then 7 hours takes. (5)
b) A Normal distribution (N) has mean 140 and standard Deviation 8. Find probability if N less then 156. Pr ( N < 156 ). (5)
Q: # 2:
What is the normal cumulative function for a z-value =0.38? Use suitable EXCEL function for calculation. (5)
Q: # 3:
Find the inverse of the standard normal cumulative distribution when arithmetic mean is 45, standard deviation is 1.25 and the probability corresponding to the normal distribution is 0.65. (5)
For Practice (Ungraded Questions)
Q: # 1
A Normal distribution has mean 56 and Standard deviation 12. if an item is picked at random from the distribution, what is the probability that its value will be;
a) Less then 30;
b) Greater then 80.
Q: # 2
What is the normal cumulative function for a z-value =2.73? Use suitable EXCEL function for calculation.
Q: 3
The weight of a metal components produce by a machine are distributed normally with mean 14 lbs and standard Deviation 0.12lbs. What is the probability that a component sampled randomly from production will have a weight greater then 14.3 lbs.
Regards Vuhelps
Q: # 1:
a) The time taken to complete jobs of a particular type is known to be Normal distributed with mean 6.4 hours and standard deviation 1.2 hours. What is the probability that a randomly selected job less then 7 hours takes. (5)
b) A Normal distribution (N) has mean 140 and standard Deviation 8. Find probability if N less then 156. Pr ( N < 156 ). (5)
Q: # 2:
What is the normal cumulative function for a z-value =0.38? Use suitable EXCEL function for calculation. (5)
Q: # 3:
Find the inverse of the standard normal cumulative distribution when arithmetic mean is 45, standard deviation is 1.25 and the probability corresponding to the normal distribution is 0.65. (5)
For Practice (Ungraded Questions)
Q: # 1
A Normal distribution has mean 56 and Standard deviation 12. if an item is picked at random from the distribution, what is the probability that its value will be;
a) Less then 30;
b) Greater then 80.
Q: # 2
What is the normal cumulative function for a z-value =2.73? Use suitable EXCEL function for calculation.
Q: 3
The weight of a metal components produce by a machine are distributed normally with mean 14 lbs and standard Deviation 0.12lbs. What is the probability that a component sampled randomly from production will have a weight greater then 14.3 lbs.
Regards Vuhelps
MTH 302 7th july update 1
MTH302 (Business Mathematics & Statistics)
Kindly do make vuhelps your default page and keep viewing it to get up to date information about current fresh exams. Also follow the blog. Send your papers to make them here uptodate at vuhelps@gmail.com or feel free to call at 03455242488
Q: # 01:-
a) How many ways are there of arranging 6 flags of different colors, where 1 color chose at a time. (5)
b) A bag contains 9 balls, 5 of which are yellow and 4 are black. In how many ways 3 yellow balls and 2 black balls can be drawn? (5)
Q: # 02:-
A fair coin is tossed 7 times. What is the probability that the head may appear 5 times? (5)
Q: # 03:-
Probability of success in a medical treatment is 85%. What is the probability of 35 successes out of 42 treatments? Use BINOMDIST function for calculation. (5)
Q: # 04:-
The Probability of wet days in current month = 35%. What is the probability of 2 or more wet days next week? (5)
Regards Vuhelps
Kindly do make vuhelps your default page and keep viewing it to get up to date information about current fresh exams. Also follow the blog. Send your papers to make them here uptodate at vuhelps@gmail.com or feel free to call at 03455242488
Q: # 01:-
a) How many ways are there of arranging 6 flags of different colors, where 1 color chose at a time. (5)
b) A bag contains 9 balls, 5 of which are yellow and 4 are black. In how many ways 3 yellow balls and 2 black balls can be drawn? (5)
Q: # 02:-
A fair coin is tossed 7 times. What is the probability that the head may appear 5 times? (5)
Q: # 03:-
Probability of success in a medical treatment is 85%. What is the probability of 35 successes out of 42 treatments? Use BINOMDIST function for calculation. (5)
Q: # 04:-
The Probability of wet days in current month = 35%. What is the probability of 2 or more wet days next week? (5)
Regards Vuhelps
Friday, July 3, 2009
MTH 302 2nd july
Kindly do make vuhelps your default page and keep viewing it to get up to date information about current fresh exams. Also follow the blog. Send your papers to make them here uptodate at vuhelps@gmail.com or feel free to call at 03455242488
Question No: 50 ( Marks: 10 )
A family has 3 boys and 2 girls.
a) Find the number of ways they can sit in a row
b) How many ways are there if the boys and girls are each to sit together?
Solution
The five children can sit in the row : 5*4*3*2*1 = 5! = 120
There are two way we can distribute them according to there sex.
BBBGG or GGBBB
In each case boy can sit 3*2*1 = 3! = 6
Girls can sit = 2*1 = 2! = 2 way.
Thus altogether they can sit in 2*3!*2! = 2*6*2 = 24 ways
Regards Vuhelps
Question No: 50 ( Marks: 10 )
A family has 3 boys and 2 girls.
a) Find the number of ways they can sit in a row
b) How many ways are there if the boys and girls are each to sit together?
Solution
The five children can sit in the row : 5*4*3*2*1 = 5! = 120
There are two way we can distribute them according to there sex.
BBBGG or GGBBB
In each case boy can sit 3*2*1 = 3! = 6
Girls can sit = 2*1 = 2! = 2 way.
Thus altogether they can sit in 2*3!*2! = 2*6*2 = 24 ways
Regards Vuhelps
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