Question

systolic blood pressure assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury (mmhg) and the standard deviation is 5.6. assume the variable is normally distributed. round the answers to at least 4 decimal places and intermediate z - value calculations to 2 decimal places. part: 0 / 3 part 1 of 3 if an individual is selected, find the probability that the individual’s pressure will be between 117.1 and 120 mmhg. p(117.1 < x < 120) =

Explanation:

Step1: Calculate z-scores

For \(X=117.1\): \(z_1=\frac{117.1-120}{5.6}\approx-0.52\); For \(X=120\): \(z_2=\frac{120-120}{5.6}=0\)

Step2: Find cumulative probabilities

\(P(Z<0)=0.5\); \(P(Z<-0.52)=0.3015\)

Step3: Compute the difference

\(P(-0.52<Z<0)=0.5-0.3015=0.1985\)

Answer:

0.1985