Question

A large study of the heights of 920 adult men found that the mean height was 71 inches tall. The standard deviation was 7 inches. If the distribution of data was normal, what is the probability that a randomly selected male from the study was between 64 and 92 inches tall? Use the 68-95-99.7 rule (sometimes called the Empirical rule or the Standard Deviation rule). For example, enter 0.68, NOT 68 or 68%.

Answer 1

Solution :

Using Empirical rule,

P( - 1< X < + 1) = 68%

P( - 2< X < + 2) = 95%

P( - 3< X < + 3) = 99.7%

P(64 < x < 92)

= 0.9985 - 0.16

= 0.8385

Probability = 0.8385