Probabilities
1.Find the probabilities for the standard normal random variable z: P(-1.55
2. Find zo such that P(-zo
3. A normal random variable x has mean =1.20 and standard deviation =.15. Find the probability of the x value. 1.35
4. Assume the heights of men have a mean of 69 inches with a standard deviation 3.5 inches.
a. What proportion of all mean with be taller than 6'
b. what is the probability that a randomly selected man will be between 5'8 and 6'1
c. Is 6' tall a unusual height
5.A study of elevator occupancies indicates that if eight people occupy the elevator, the probability distribution of the total weight of the eight people has a mean equal to 1200 pounds and a variance equal to 9800 lbs. What is the probability that the total weight of eight people exceeds 1300 pounds? 1500 pounds? (Assume that the probability distribution is approximately normal.)
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