Question

What is the probability:In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 67.9 inches and a standard deviation of 3.0 inches.The probability that the study participant selected at random is between 67 and 71 inches tall?

Answer 1

Ok, so

We know that

u = 67.9

o = 3

We are supposed to find P(67At x = 67:

Now, use the z table:

So, P(z<-0.3) = 0.3821.

At x = 71:

Now, use the z table:

So, P(z<1.03) = 0.8438

Now, P(--0.30.4617