Question

assuming that the heights of NBA players is normally distributed with a mean of 77 inches...

assuming that the heights of NBA players is normally distributed with a mean of 77 inches and a standard deviation of 2.2 inches, calculate the following,

A.what is the z-score for the height of 73inches?

b. what is the proportion corresponding to a height of 80 inches

c.what is the height of a player at the 15th percentile

d.if we want to select only those players who are in the top 5% in terms of height, what height would we use as the cutoff

e.what percentage of players have a height between 77 inches and 84 inches

f.what percentage of players fall below a height of 72 inches

g.what percentage of players are between 70 inches and 72 inches tall

h. what is the z score for a height of 83 inches

i.what is the height of a player at the 85th percentile

j. what is the height of a player who is 1 standard deviation below the mean

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