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Hi can someone please actually EXPLAIN how to do this? I'm really confused on how to get the answers

Cholesterol is a type of fat found in the blood. It is measured as a concentration: the number of milligrams of cholesterol found per deciliter of blood (mg/dL). A high level of total cholesterol in the bloodstream increases risk for heart disease. For this problem, assume cholesterol in men and women follows a normal distribution, and that “adult man” and “adult woman” refers to a man/woman in the U.S. over age 20. For adult men, total cholesterol has a mean of 188 mg/dL and a standard deviation of 43 mg/dL. For adult women, total cholesterol has a mean of 193 mg/dL and a standard deviation of 42 mg/dL. The CDC defines “high cholesterol” as having total cholesterol of 240 mg/dL or higher, “borderline high” as having a total cholesterol of more than 200 but less than 240, and “healthy” as having total cholesterol of 200 or less. A study published in 2017 indicated that about 11.3% of adult men and 13.2% of adult women have high cholesterol.

1) A researcher measures the total cholesterol of a randomly selected group of 36 adult women, and counts the number of them who have high cholesterol. (Assume that 13.2% of adult women have high cholesterol.)

a. What is the probability that exactly 4 of these 36 women have high cholesterol?

b. What is the probability that 8 or less of these 36 women have high cholesterol?

2) A doctor recommends drastic lifestyle changes for all adults who are in the top 5% of total cholesterol levels.

a. What total cholesterol level is the cutoff for the top 5% of women? (Round to 1 decimal place.)

b. What total cholesterol level is the cutoff for the top 5% of men? (Round to 1 decimal place.)

The manufacturer of a certain electronic component claims that they are designed to last just slightly more than 4 years because they believe that customers typically replace their device before then. Based on information provided by the company, the components should last a mean of 4.24 years with a standard deviation of 0.45 years. For this scenario, assume the lifespans of this component follow a normal distribution

3) The company considers a component to be “successful” if it lasts longer than the warranty period before failing. They estimate that about 70.3% of components last more than 4 years. They find a random group of 10 components that were sold and count the number of them which were “successful,” lasting more than 4 years.

a. What is the expected number of these 10 components that will last more than 4 years? (Round your answer to 1 decimal place.)

b. What is the standard deviation for the number of these 10 components that will last more than 4 years? (Round your answer to 1 decimal place.)

c. What is the probability that at least 8 of these components will last more than 4 years?

4) The company is not satisfied with how many returns they are processing, and accountants in the company are recommending that they change the warranty period. The accountants suggest basing the period of the warranty on making sure, in the long run, only about 5% of customers will return the component. What amount of time corresponds to the shortest 5% of lifespans for this component? (Round your answer to 1 decimal place.)

Answer #1

High-density lipoprotein (HDL) is sometimes called the "good
cholesterol" because high values are associated with a lower risk
of heart disease. According to the American Heart Association,
people over the age of 20 years should have at least 40 mg/dL of
HDL cholesterol. U.S. women aged 20 and over have a mean HDL of 55
mg/dL with a standard deviation of 15.5 mg/dL. Assume that the
distribution is Normal.
Women with more than 40 mg / dL but less than...

Can someone please explain the last three parts of this
question parts 7-9.
A cholesterol level over 200 is considered high. The
manufacturers of a certain brand of cereal are interested in
whether eating their cereal for breakfast daily will result in a
decrease in cholesterol levels for people with high cholesterol.
They randomly select ten people with high cholesterol to
participate in the study. Each subject eats the cereal every
morning for a month. The cholesterol levels of each...

Instructions: Write probabilities to four decimal places
(percentages to two decimal places).
Draw bell curves to illustrate each desired areas. Use the
correct probability notation (e.g. P(X
>12.5) = P(z > 1.2) …. Use the Standard Normal
Distribution Table to answer Questions 1
& 8).
1. The total blood cholesterol levels in a certain Mediterranean
population are found to be
normally distributed with a mean of 160 milligrams/deciliter
(mg/dL) and a standard
deviation of 50 mg/dL. Researchers at the National...

1. in a test of the effectiveness of garlic for
loweringcholesterol, 45 subjects were treated with garlic in a
processed tablet form. Cholesterol levels were measured before and
after the treatment. The changes (before-after) in their levels of
LDL cholesterol (in mg/dL) have a mean of 5.1 and a standard
deviation of 15.7. Construct a 99% confidence interval estimate of
the mean net change in LDL cholesterol after the garlic treatment.
What does the confidence interval suggest about the effectiveness...

Sheila's doctor is concerned that she may suffer from
gestational diabetes (high blood glucose levels during pregnancy).
There is variation both in the actual glucose level and in the
blood test that measures the level. A patient is classified as
having gestational diabetes if the glucose level is above 140
miligrams per deciliter (mg/dl) one hour after having a sugary
drink. Sheila's measured glucose level one hour after the sugary
drink varies according to the Normal distribution with μμ =...

How many kilocalories do I need on daily basis? This is a
question that most people who are healthy and maintain their body
weight do not have to worry about. They maintain energy balance
(calories in versus calories out) without thinking about it. But
for those who have more difficulty maintaining their weight,
estimating daily energy needs and keeping their kilocalorie intake
in check may help them.
Anna and her sister Theresa weighed almost the same until Anna
went to...

Case study 1.3: Equal prize money in tennis A British cabinet
minister has now stepped into the debate regarding equal prize
money at Wimbledon, the British Open tennis championships. Patricia
Hewitt (no relation to the men’s winner), the Trade and Industry
Secretary, announced that it is ‘simply wrong’ that the winner of
the men’s singles should collect £525,000, while the women’s winner
should receive only £486,000, when they had both worked equally
hard. The debate regarding prize money is not...

1) The amount of money spent weekly on cleaning, maintenance,
and repairs at a large restaurant was observed over a long period
of time to be approximately normally distributed, with mean
μ = $599 and standard deviation σ = $42.
(a) If $646 is budgeted for next week, what is the probability
that the actual costs will exceed the budgeted amount? (Round your
answer to four decimal places.)
(b) How much should be budgeted for weekly repairs, cleaning, and
maintenance...

You are asked to do a study of shelters for abused and battered
women to determine the
necessary capacity I your city to provide housing for most of
these women. After recording data
for a whole year, you find that the
mean number
of women in shelters each night is
250
, with a
standard deviation of 75
. Fortunately, the distribution of the number of women in the
shelters
each night is normal, so you can answer the following...

Case Challenge #1 (Please do not attempt to solve if you
can not answer all)
A New, Dynamic Industry
THE ENERGY BAR INDUSTRY
In 1986, PowerBar, a firm in Berkeley, California,
single-handedly created the energy bar category. Positioned as an
athletic energy food, it was distributed at bike shops and events
that usually involved running or biking. The target segment was the
athlete who needed an efficient, effective energy source.
Six years later, seeking to provide an alternative to the...

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