Calculate Probability in Normal Distribution and Standard Scores in a Random Variable

Question

1.    If Z is a standard normal random variable, then the value z for which P(-z < Z < z) equals 0.8764 is

A. 1.16    
B. 0.3764    
C. 1.54    
D. 3.08    

2.    The average height of flowering cherry trees in a nursery is 11 feet. If the heights are normally distributed with a standard deviation of 1.6, find the probability that a randomly selected cherry tree in this nursery is less than 13 feet tall.

A. 0.67    
B. 0.89    
C. 0.95    
D. 0.11    


Summary

These multiple choice questions belong to Statistics. The 1st question is about standard scores and the 2nd question is about probability in normal distribution.

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