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1. Let Z be a standard normal random variable. Find… a. Pr (Z ≥ -0.78) b....

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Statistics

1. Let Z be a standard normal random variable. Find…

a. Pr (Z ≥ -0.78) b. Pr(-0.82  Z  1.31)

2. A random variable X is normally distributed with mean ? = 25.5and standard deviation ? .0= 3.25.

Find Pr(23.03 ≤ ?? ≤ 29.14)

3. The math SAT is scaled so that the mean score is 500 and thestandard deviation is 100.
Assuming scores are normally distributed, find the probability thata randomly selected student
scores

a. higher than 645 on the test. b. at most 475 on the test  

4. Adult male heights are a normal random variable with mean 69inches and a standard deviation of 3 inches. Find the height, tothe nearest inch, for which only 8 percent of adult males aretaller (i.e. find the 92nd percentile)

Answer & Explanation Solved by verified expert
4.0 Ratings (415 Votes)
1 Let a Now From standard normal distribution tableb From standard normal distribution table2 Let Now From    See Answer
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