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# a survey was conducted to measure the height of men. in the

### Resolved Question:

a survey was conducted to measure the height of men. in the survey, respondents were grouped by age. In the 20-29 age group, the heights were normally distributed, with a mean of 69.1 inches and a standard deviation of 3.0 inches. a study participant is randomly selected.
What is the probability that the study participant selected at random is less than 65 inches tall?
Submitted: 6 years ago.
Category: Math Homework
Expert:  abozer replied 6 years ago.

abozer :

Hi,

abozer :

= P(x < 65)
= P(z < (65 - 69.1)/3.0)
= P(z < -1.3667)
= 0.0859

abozer :

Let me know if you have any questions

JACUSTOMER-8wvghkcu- :

what is the probability the participant will be 65-70" tall?

abozer :

= P(65 < x < 70)
= P((65 - 69.1)/3.0 < z < (70 - 69.1)/3.0)
= P(-1.3667 < z < 0.3)
= 0.5320

JACUSTOMER-8wvghkcu- :

more than 70" tall?

abozer :

= P(x > 70)
= P(z > (70 - 69.1)/3.0)
= P(z > 0.3)
= 0.3821