MATH 221N Week 5 MyStatLab Quiz

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Question 1. Suppose Ed is going to burn a compact disk​ (CD) that will contain 13 songs. In how many ways can Ed arrange the 13 songs on the​CD?

 

Question 2. A probability experiment consists of rolling a fair 8  ​-sided die. Find the probability of the event below.

Rolling a number divisible by 3.

 

 

Question 3. In a sample of 900 U.S.​ Adults,  170 dine out at a restaurant more than once per week.

Two U.S. adults are selected at random from the population of all U.S. adults without replacement. Assuming the sample is representative of all U.S.​ Adults, complete parts​ (a) through​ (d).

​(a) Find the probability that both adults dine out more than once per week.

The probability that both adults dine out more than once per week is

 

.

​(Round to three decimal places as​ needed.)

​(b) Find the probability that neither adult dines out more than once per week.

The probability that neither adult dines out more than once per week is

.

​(Round to three decimal places as​needed.)

 

​(c) Find the probability that at least one of the two adults dines out more than once per week.

The probability that at least one of the two adults dines out more than once per week is

           

Question 4 Students in a class take a quiz with eight questions. The number x of questions answered correctly can be approximated by the following probability distribution. Complete parts​ (a) through​ (e).

 

 

7

0.15

 8

0.07

 

 

8

\

 

 

 

 

 

 

 

 

 

 

 

 

a) Use the probability distribution to find the mean of the probability distribution.

U =

 

​(Round to the nearest tenth as​ needed.)

​(b) Use the probability distribution to find the variance of the probability distribution.

sigma squared

equals​(Round to the nearest tenth as​ needed.)

​(c) Use the probability distribution to find the standard deviation of the probability distribution.

​(Round to the nearest tenth as​ needed.)

​(d) Use the probability distribution to find the expected value of the probability distribution.

​(Round to the nearest tenth as​ needed.)

​(e) Interpret the results.

A.

The expected number of questions answered correctly is 5.1 with a standard deviation of  0.04

B.

The expected number of questions answered correctly is 3.7 with a standard deviation of  1.9

C.

The expected number of questions answered correctly is  with a standard deviation of  5.1

.

D.  The expected number of questions answered correctly is  5.1 with a standard deviation of  1.9

 

Question 5.  Evaluate the given expression and express the result using the usual format for writing numbers​ (instead of scientific​ notation).

39C3

 

 

Question 6. A standard deck of cards contains 52 cards. One card is selected from the deck.

​(a)

Compute the probability of randomly selecting a

Three or four

.

​(b)

Compute the probability of randomly selecting

 

Three or four or  ten

.

​(c)

Compute the probability of randomly selecting a

Seven or  diamond.

 

 

Question 7. Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities.

A newspaper finds that the mean number of typographical errors per page is eight

.

Find the probability that​ (a) exactly six typographical errors are found on a​ page,

(b) at most six typographical errors are found on a​ page, and​

(c) more than six typographical errors are found on a page.

 

​(a) P(exactly six typographical errors are found on a

​page)equals

 

​(Round to four decimal places as​ needed.)

​(b) P(at most six typographical errors are found on a

​page)equals

 

​(Round to four decimal places as​ needed.)

​(c) P(more than six typographical errors are found on a

​page)equals

 

​(Round to four decimal places as​ needed.)

 

Which of the events are​ unusual? Select all that apply.

A.

The event in part​ (a) is unusual.

B.

The event in part​ (b) is unusual.

C.

The event in part​ (c) is unusual.

D.

None of the events are unusual.

 

 

Question 8. Find the​ mean, variance, and standard deviation of the binomial distribution with the given values of n and p.

n equals 80  p equals 0.6

 

The​ mean, mu is 48 round to nearest tenth

.

The​ variance, 02sigma squared

​,

is

.

​(Round to the nearest tenth as​ needed.)

The standard​ deviation,

Sigma 0

​,

is

.

 

 

 

Question 8. A company that makes cartons finds that the probability of producing a carton with a puncture is

0.05

​,

.

Answer parts​ (a) and​ (b) below.

​(a) Are the events​ "selecting a carton with a​ puncture" and​ "selecting a carton with a smashed​ corner" mutually​ exclusive? Explain.

A.

​Yes, a carton can have a puncture and a smashed corner.

B.

​Yes, a carton cannot have a puncture and a smashed corner.

C.

​No, a carton can have a puncture and a smashed corner.

 

D. ​No, a carton cannot have a puncture and a smashed corner.

 

​(b) If a quality inspector randomly selects a​ carton, find the probability that the carton has a puncture or has a smashed corner.

 

The probability that a carton has a puncture or a smashed corner is

.

​(Type an integer or a decimal. Do not​ round.)

 

 Question 9  Use the frequency distribution, which shows the number of American voters (in millions) according to age, to find the probability that a voter chosen at random is in the 18 to 20 years old age range.

 

 

Response Frequency

18 to 20 4.4

21 to 24 8.2

25 to 34 23.5

35 to 44 25.6

45 to 64 54.5

65 or over 28.2

The probability that a voter chosen at random is in the 18 to 20 years old age range is

 

 

Question 10. Determine whether the distribution is a discrete probability distribution.

x P(x)

0 0.00

1 0.00

2 1.00

3 0.00

4 0.00

A yes because the probabilities sum to 1 and are all bet 0 and 1 inclusive

B no, because some of the probabilities have values greater tjam 1 and less than o

C yes, because the distribution is symmetric

D no, because the total probability is not equal to 1.

School / College / University / Term Date
Institution
Chamberlain College of Nusing
Term / Date

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