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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