The number of textbook authors now sitting at a computer

1. Determine which of the following could not represent the probability of an event.

A= 0

B= 0.009

C= 550/1259

E= 50%

F= -0.7

2. You randomly selected one card from a standard desk.

Event A is selecting a five. Determine the # of outcomes in event A. Then decide whether the event is a simple or not?

The number of outcomes in the event is ?

IS event A simple Event?

Yes or No?

3. Use the bar graph below, which shows the highest level of education received by employees of a company, to find the probability that the highest level of education for an employee a Random is B.

__Must insert Data

A =8

B= 26

C= 33

D= 17

E= 7

F= 13

The probability that the highest level of education for an employee chosen at random is B is?

4. Determine whether the Events E & F are Dependent

Justify your answer.

A. E: A person having a high GPA

F: A person being highly organized

Chose the correct one:

a. E & F: are dependent because having a high GPA has no effect on the probability of a person being highly organized.

b. E & f: are independent because highly organized has no effec on the probability of a person having a high GPA

B. E: A randomly select having a GPA

F: A notre randomly seleced person having a low GPA.

5. In the general population, 1 women in 10 will developpe breast cancer. Research has shown that 1 woman in 550 carriers a mutation of the Breast Cncer gene. Nine out of 10 women with this mutation developed Breast Cancer.

a. Find the probability that a randomly select woman will developed Breast Cancer given that she has mutation of BRCA gene.

The probability that randomly selected woman will developed Breast Cancer given that she has a mutation of BRCA gene is ??

b. Find the probability that the randomly selected woman will carry the mutation of the BRCA gene will developed BRCA.

The probability that a randomly selected woman will carry he gene mutation and developed cancer is???

c. Are the events of carrying this mutation and developing cancer

Independent or dependen/

6. The table shows the result of a survey in wich 141 men 144 women workers ages 25 to 64 were asked at least one months income set a side for emergencies. Compleed part A through D

men

women

Total

Less than 1 month income

65

83

148

1 month income or more

76

61

137

Total

141

144

285

a. Find the probility that randomly selected whether has one month income or more set aside for amergencies

Probability is????? (round near thousands)

b. Given that randomly selected worker is a male, find probability that the worker has less than 1 month’s income.

Probability is ????? (round near thousands )

c. Given that randomly selected worker has 1 month income or more, find the probability that worker is a female

d. Are the events “having less than 1 month income saved” and “ are independent or dependent”?

7. Decide if the events are mutually exclusive

Event A: randomly selecting a nurse

Event B: Randomly selecting a male

A= Yes because someone who is a nurse can be male

B= No because someone woho is a nursse cannot be a male

C= Yes because who is nurse cannot be a male.

D= No because someone who is a nurse can be male

8. A standard desk of card contains 52 cards. I card is selected from the desk.

a. Compute the probability of randomly select a Diamond or Heart.

b. Compute the probability of randomly selecting a Diamond or Heart, Club.

c. Compue the probability of randomly selecting a Five or Heart.

a. P (Diamond or Heart)=??? (type integer or simplified fraction)

b. P (Diamond, Heart, Club)=???? (type integer or simplified)

c. P (Five or Heart)= ????? (type integer or simplified)

9. Table below shows the result of survey that asked 2871 people whether they are involved in any types of charity work.

A person is selected at random from the sample

Frequency

Occasionally

not at all

Total

Male

224

454

793

1471

Female

203

450

747

1400

Total

427

904

1540

2871

a. Find the probability that the person is frequently or occasionally involved tochasting work.

P(Being frequently involved or being occasionally involved)= ??? nearest thousand

b. Find the probability that the person is female or not involved in charity work at all.

P(Being female or not being involved)= ????? nearest thousands

c. Find the probability that the person is male or frequency involved in charity work.

P(Being male or being frequently involved)

d. Find the probability that the person is female or not frequently involved in charity work.

P(being female or not frequent involved)?????

e. Are the event “being female” and “being frequently involved in charity work” mutually exclusive. EXPLAIN:

· Yes because no females are frequently involved in charity work

· Yes because 203 females are frequently involves in charity work.

· No because 203 females are frequently involved in charity work

· No because no females are frequently involves in charity work

10. Perfom the indicated calculation

8C4 / 12C4 = ???? round to the nearest thousand

11. It certain lotery has 40 number. In how many different ways can 6 of the numbers be selected? (assume that order of selection is not important)

There are ???? ways the numbers can be selected.

12. Determine whether the random variable is discrete or continous.

a. The number of textbook authors now sitting a a computer.

b. The number of people with blood type A in a random sample of 22 people.

c. The number of people in the restaurant that has a capicity of 250

d. The weight of a T- bone steak

e. The height of a randomly selected giraffe.

A. Is the number of the text book authors now sitting at a computer discrete or continous

· The random variable is continous?

· The random variable is discrete?

B. Is the number of people with blood type A in a random sample of 22 people discrete or continous

· The randome variable is continous.

· The randomn variable is discrete.

C. Is the number of people in the restaurant that has the capacity of 250 discrete or continous?

· The random variable is continous.

· The random variable is discrete.

D. Is the weight of a T-bone steak discrete or continous.

· The random variable is continous.

· The random variable is discrete.

E. Is height of randomly selected giraffe discrete or continous?

· The random variable is continous.

· The random variable is discrete.

13. Determine whether the distribution is a discrete probability distribution

X

P(X)

0

0.16

1

0.21

2

0.26

3

0.21

4

0.16

Is the distribution is discrete probabilty distribution? Why?

CHOOSE CORRECT ANSWER.

A. No because some of the probability have value greater than 1 less than 0

B. Yes because the probability sum to 1 and are all between 0 and 1, inclusive.

C. Yes because the distribution is symetric

D. No because the total probabilty is not equal to 1.

14. A frequently distribution below. Complete A through E

A. Use the frequently distribution to construct a probability distribution.

X

P(X)

0

?

1

?

2

?

3

?

4

?

5

?

6

?

B. Find the mean of the probabilty distribution

Means= ….. (round nearest tenth as needed )

C. Find the variable of probabilty distribution

02=