Question

Question 22 Not yet answered Points out of 4.00 Flag question The heights of 18-year-old men are appoximately normally istributed with mecan 6s nches and standard deviation 3 inches. What is the probability that on 18-year-old man selected at random is greater than 74 inches tall? Select one O a. 0.9544 O b.0.4772 O C.0.0228 O d. 00456 o e. 0.9772 Previous page Next page 0 Type here to search Prtsen 0

Answer 1

Please don't hesitate to give a "thumbs up " for the answer, in case you're satisfied with it.

Normal distribution parameters are given as:

Mean = 68

Stdev = 3

We will normalize our distribution using this:

P(X>74)
= P(Z> 74-68/3)
= P(Z>2) [we used the empirical rule of normal distribution, you can also use the Z tables to find P(Z>2) ]
= .0228

Answer is therefore, C