Question

Question 15 of 20 (1 point) View problem in a pop-up Assume that the mean systolie blood pressure of normal adults is 120 millimeters of mercury (mm Hg) and the standard deviation is 5.6. Assume the variable is normally distributed. Use a graphing calculator and round the answers to four decimal places. Part 1 If an individual is selected, find the probability that the individual's pressure will be between 120.4 and 121.9 mm Hg. P120A

Answer 1

Answer: 0.1052

Step-by-step explanation:

Given : Mean :$\mu= 120$

Standard deviation : $\sigma= 5.6$

We assume the variable is normally distributed.

The formula for z-score is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x=120.4

$z=\dfrac{120.4-120}{5.6}=0.0714285714286\approx0.07$

For x=121.9

$z=\dfrac{121.9-120}{5.6}=0.339285714286\approx0.34$

The p-value =$P(0.07<z<0.34)=P(0.34)-P(0.07)$

$=0.6330717-0.5279031=0.1051686\approx0.1052$

The probability that the individual's pressure will be between 120.4 and 121.9 mm Hg = 0.1052