What percent of mothers of male babies are pregnant for more than 40 weeks?

Problems on Normal Distribution
Directions: Draw a clearly labeled diagram and then solve each problem.
1. The gestation period (length of pregnancy) for male babies born in New York is
normally distributed with a mean of 39.4 weeks and a standard deviation of 2.43 weeks.
(a) What percent of mothers of male babies are pregnant for less than 35 weeks?
(b) What percent of mothers of male babies are pregnant for between 35 and 40
(c) What percent of mothers of male babies are pregnant for more than 40 weeks?
(d) Suppose a sailor had shore leave 46 weeks ago and his wife is delivering a baby
today. What should the sailor say to his wife when he gets home?



The daily demand for gas at Good’s Gas station is normally distributed with a mean
of 1812 gallons and a standard deviation of 254 gallons.
What is the probability that the demand for gas will exceed 2000 gallons on any

(b) What is the probability that the demand for gas in a day will be between 1500 and
2000 gallons?
(c) What is the probability that the demand for gas will exceed 1500 gallons on any

3. Suppose that the life of an Evercharged battery is normally distributed with a mean
life of 12 hours and a standard deviation of 0.72 hours. What percent of Evercharged
batteries will last:
a) less than 11.5 hours
b) more than 13 hours
c) between 11.5 and 13 hours?

4. Suppose that a school district wants to start a program for gifted students. The
participants in the program are to be chosen on the basis of IQ scores (normal
with = 100, = 15). If the school district wants only the top 2% of students to
participate in the program, what should be the IQ score that students must
exceed to be accepted?

5. In problem #2, how much gasoline should the station have on hand at the
beginning of the day so that the probability of running out of gas that day is only

6. 10% of Americans are left handed.
(a) If 6 people are selected at random, what is the probability that more than 3 of them
are left-handed?
(b) Suppose a group of 600 mathematicians get together for a conference. What is the
probability that more than 80 of them are left-handed? (Use the normal approximation to
the binomial)

7. If a couple has five children, what is the probability that :
(a) they have three boys and two girls (b) all five are boys
more than 3 boys

(c) at least one is a girl

(d) they have

8.In a redundant communications network, there are 6 paths between two nodes, so that if a message can not get
through one path, it can be sent through one of the other paths. Suppose that the probability that an individual path
is busy is 80%. What is the probability that a message can be sent from one node to the other?
Buy Answer

Homework Market
Calculate your paper price
Pages (550 words)
Approximate price: -

Why Homework Market


Quality Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Homework Market

Qualified Writers

We have hired a team of professional writers experienced in academic and business writing. Most of them are native speakers and PhD holders able to take care of any assignment you need help with.


Unlimited Revision

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account.


Timely Delivery

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. We will always strive to deliver on time.


Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text.


Customer Support 24/7

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

Calculate the price of your order

Total price:

How it works?

Follow these simple steps to get your paper done

Homework Market

Place your order

Fill in the order form and provide all details of your assignment.

Homework Market

Proceed with the payment

Choose the payment system that suits you most.

Homework Market

Receive the final file

Once your paper is ready, we will email it to you.

Homework Market Writing Services

No need to work on essay at night. Sleep tight, we will cover your back. We offer all kinds of essay writing services.

HomeworkMarket HomeworkMrket


Essay Writing Services

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.

HomeworkMarket HomeworkMarket


Admission Essays

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.

HomeworkMarket HomeworkMarket


Essay Editing

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.

HomeworkMarket HomeworkMarket

Research Paper

Research Paper

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied.