Question

Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12. a. What proportion of people have diastolic blood pres- sure less than 90

Answer 1

The probability that people have diastolic blood pressure less than 90

P( X< 90) = 0.6628

Step-by-step explanation:

Step-by-step explanation:-

Given mean of the Population 'μ'= 85

Given standard deviation of the Population 'σ'= 12

Let 'X' be the Normal distribution

let X = 90

`Z = (x-mean)/(S.D)`

`Z = (90-85)/(12) = 0.4166 > 0`

The probability that people have diastolic blood pressure less than 90

P( x < 90) = P( Z < 0.4166)

= 1 - P( Z> 0.4166)

= 1 - (0.5 - A( 0.4166)

= 0.5 + 0.1628

= 0.6628

Conclusion:-

The probability that people have diastolic blood pressure less than 90

P( X< 90) = 0.6628