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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
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.
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.