Question

A study measures blood pressure among college students. The blood pressure approximately follows a distribution with mean 100, and standard deviation 15. (a) What is the probability that the blood pressure is less than 97? (Round to 4 decimal places)

Answer 1

Answer:

0.4207 is the probability that the blood pressure is less than 97.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of blood pressure is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(blood pressure is less than 97)

P(x < 97)

$P( x < 97) = P( z < \displaystyle\frac{97 - 100}{15}) = P(z < -0.2)$

Calculation the value from standard normal z table, we have,  

$P(x < 97) = 0.4207=42.07\%$

0.4207 is the probability that the blood pressure is less than 97.