Question

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.

Answer #1

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

For women aged 18-24, systolic blood pressures (in mm Hg) are
normally distributed with a mean of 114.8 and a standard deviation
of 13.1. Hypertension is commonly defined as a systolic blood
pressure above 140.
a. If a woman between the ages of 18 and 24 is randomly
selected, find the probability that her systolic blood pressure is
greater than 140.
b. If 4 women in that age bracket are randomly selected, find
the probability that their mean systolic blood...

For women aged 18-24, systolic blood pressures (in mm Hg) are
normally distributed with a mean of 114.8 and a standard deviation
of 13.1. Hypertension is commonly defined as a systolic blood
pressure above 140. a. If a woman between the ages of 18 and 24 is
randomly selected, find the probability that her systolic blood
pressure is greater than 140. b. If 4 women in that age bracket are
randomly selected, find the probability that their mean systolic
blood...

For women aged 18-24, systolic blood pressures (in mm Hg) are
normally distributed with a mean of 114.8 and a standard deviation
of 13.1. If 23 women aged 18-24 are randomly selected, find the
probability that their mean systolic blood pressure is between 119
and 122.

For women aged 18-24, systolic blood pressures (in mm Hg) are
normally distributed with a mean of 114.8 and a standard deviation
of 13.1 (based on data from the National Health Survey). If 15
women in that age bracket are randomly selected, find the
probability that their mean systolic blood pressure is between 110
and 115.
Select one:
a. 41.89%
b. 39.60%
c. 49.70%
d. None of other answers is neccessary true.
e. 44.56%

14. For women aged 18-24, systolic blood pressure (in mm Hg) are
normally distributed with a mean of 114.8 and a standard deviation
of 13.1. If 23 women aged 18-24 are randomly selected, find the
probability that their mean systolic blood pressure is between 112
and 114.8.

For women aged 18 to 24, systolic blood pressure (in mm Hg) is
normally distributed with a mean of 114.8 and a standard deviation
of 13.1 (based on data from the National Health Survey).
Hypertension is commonly defined as a systolic blood pressure above
140. Let X represent the systolic blood pressure of a randomly
selected woman between the ages of 18 and 24. a. Find the
probability the mean systolic blood pressure of four randomly
selected women would fall...

4. For women aged 18-24, systolic blood pressures (in mm Hg) are
normally distributed
with a mean of 114.8 and a standard deviation of 12.6 (based on
data from the National Health
Survey).
(a) If one woman in that age bracket is randomly selected, find the
probability that her systolic
blood pressure is less than 110.
(b) If 20 women in that age bracket are randomly selected,
describe the sampling distribution of
the sample mean x , the mean systolic...

Suppose that diastolic blood pressures of adult women in the
United States are approximately normally distributed with mean 80.5
and standard deviation 9.9. What proportion of women have blood
pressure greater than 67.6 ? Write only a number as your answer.
Round to 4 decimal places (for example 0.0048). Do not write as a
percentage.

Suppose that diastolic blood pressures of adult women
in the United States are approximately normally distributed with
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Write only a number as your answer. Round to 4 decimal
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Assume that the red blood cell counts of woman are normally
distributed with a mean of 4.577 and a standard deviation of 0.328.
Apply technology or calculator to solve the following questions,
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(a) Find the probability that a randomly selected woman has a
red blood cell count below the normal range of 4.1 to 5.4.
(b) Find the probability that a randomly selected woman has a
red blood cell count above the...

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