Assume that blood pressure readings are normally distributed with a mean of 118 and a standard deviation of 6.4. if 64 people are randomly selected, find the probability that their mean blood pressure will be less than 120. round to four decimal places. a. 0.9938 b. 0.8615 c. 0.9998 d. 0.0062

Option A - 0.9938

Step-by-step explanation:

Given : Assume that blood pressure readings are normally distributed with a mean of 118 and a standard deviation of 6.4. If 64 people are randomly selected.

To find : The probability that their mean blood pressure will be less than 120?

Solution :

The formula to find the probability is

Where, X is the sample mean

is the population mean

is the standard deviation

n=64 is the number of sample

The probability that their mean blood pressure will be less than 120 is given by,

From the z-table the value of z at 2.5 is

Therefore, Option A is correct.

The probability that their mean blood pressure will be less than 120 is 0.9938.

step-by-step explanation:

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