The height of male high school basketball players in Minnesota is normally distr
ID: 3350889 • Letter: T
Question
The height of male high school basketball players in Minnesota is normally distributed with a mean of 74 inches with a standard deviation of 2 inches. a. If you choose a MN basketball player randomly, what is the probability he will be between 74 and 77.5 inches tall? (4 points) b. What is the probability that a random MN basketball player will be taller than 79 inches? (4 points) c. What is the probability that a random MN basketball player will be between 69 and 72 inches tall? (4 points) d. Find the height for which there is 0.05 probability that a MN basketball player will be taller than that height. (4 points)Explanation / Answer
a)
b)
c)
d)
for top 5% ; coresponding z score =1.645
therefore corresponding height =mean+z*std deviation=74+1.645*2=77.3
for normal distribution z score =(X-)/Related Questions
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