Question

# 1. for a women aged 18-24 blood pressures are normally distributed with a mean of 114.8...

1. for a women aged 18-24 blood pressures are normally distributed with a mean of 114.8 and standard deviation of 13.1 .

a. If a women is randomly selected, find the probability that her blood pressure is greater than 140.

b. If 4 women are selected, find the probability that their mean blood pressure is greater than 140.

2. use a normal distribution as an approximation to the binomial distribution. assume that 100 cars are selected and that the probability of selecting a red car is 12%.

a. find the probability of selecting exactly 15 red cars.

b. find the probability of selecting fewer than 25 red cars.

1. Let ,

a. Now

; From standard normal distribution table

Therefore , the probability that her blood pressure is greater than 140 is 0.0274.

b. Now , the sampling distribution of the sample mean is approximately normally distributed with sample mean and sample standard deviation

We have ,

; From standard normal distribution table

Therefore , the probability that her blood pressure is greater than 140 is 0.0274.

If 4 women are selected, then the probability that their mean blood pressure is greater than 140 is approximately 0.0000

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