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1.During a​ 52-week period, a company paid

1.During a​ 52-week period, a company paid

overtime wages for 19

19 weeks and hired temporary help for 7

7 weeks. During 4

4 ​weeks, the company paid overtime and hired temporary help. Complete parts​ (a) and​ (b) below.

​(a) Are the events​ “selecting a week that contained overtime​ wages” and​ “selecting a week that contained temporary help​ wages” mutually​ exclusive?

No

Yes

​(b) If an auditor randomly examined the payroll records for only one​ week, what is the probability that the payroll for that week contained overtime wages or temporary help​ wages?

​P(overtime wages or temporary help​ wages) =

nothing

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

2. A doctor gives a patient a 60 ​% chance of surviving bypass surgery after a heart attack. If the patient survives the​ surgery, then the patient has a 25​% chance that the heart damage will heal. Find the probability that the patient survives the surgery and the heart damage heals.

The probability is ____

nothing

​(Type an integer or a​ decimal.)

3. About 40​% of babies born with a certain ailment recover fully. A hospital is caring for five babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment. If it​ is, identify a​ success, specify the values of​ n, p, and​ q, and list the possible values of the random variable x.

Is the experiment a binomial​ experiment?

Yes

No

What is a success in this​ experiment?

This is not a binomial experiment.

Baby recovers

Baby​ doesn’t recover

Specify the value of n. Select the correct choice below and fill in any answer boxes in your choice.

A.

n equals

n=

nothing

B.

This is not a binomial experiment.

Specify the value of p. Select the correct choice below and fill in any answer boxes in your choice.

A.

p equals

p=

nothing

B.

This is not a binomial experiment.

Specify the value of q. Select the correct choice below and fill in any answer boxes in your choice.

A.

q equals

q=

nothing

B.

This is not a binomial experiment.

List the possible values of the random variable x.

x equals

x=​0, ​1, 2,…, 5

5

x equals

x=​0, ​1, 2,…, 4

4

x equals

x=​1, ​2, 3,…, 5

5

This is not a binomial experiment.

4.29​% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is​ (a) exactly​ two, (b) more than​ two,and​ (c) between two and five inclusive. If​ convenient, use technology to find the probabilities.

​(a) ​P(2)equals =

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

​(b) ​P(x>​2)equals =

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

​(c) ​P(2≤xless than or ≤​5)equals =

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

 
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