# MATHEMATICS

- 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 |

- Find the probability that the person is frequently or occasionally involved tochasting work.
P(Being frequently involved or being occasionally involved)= ??? nearest thousand

- 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

- Find the probability that the person is male or frequency involved in charity work.
P(Being male or being frequently involved)

- Find the probability that the person is female or not frequently involved in charity work.
P(being female or not frequent involved)?????

- 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

- Perfom the indicated calculation
8C4 / 12C4 = ???? round to the nearest thousand

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

- The number of textbook authors now sitting a a computer.
- The number of people with blood type A in a random sample of 22 people.
- The number of people in the restaurant that has a capicity of 250
- The weight of a T- bone steak
- The height of a randomly selected giraffe.

- 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?

- 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.

- 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.

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

- The random variable is continous.
- The random variable is discrete.

- Is height of randomly selected giraffe discrete or continous?

- The random variable is continous.
- The random variable is discrete.

- 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.

- No because some of the probability have value greater than 1 less than 0
- Yes because the probability sum to 1 and are all between 0 and 1, inclusive.
- Yes because the distribution is symetric
- No because the total probabilty is not equal to 1.

- A frequently distribution below. Complete A through E

- Use the frequently distribution to construct a probability distribution.

X | P(X) |

0 | ? |

1 | ? |

2 | ? |

3 | ? |

4 | ? |

5 | ? |

6 | ? |

- Find the mean of the probabilty distribution
Means= ….. (round nearest tenth as needed )

- Find the variable of probabilty distribution
02=

- 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

- 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?

- 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?

- Determine whether the Events E & F are Dependent
Justify your answer.

- E: A person having a high GPA
F: A person being highly organized

Chose the correct one:

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

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

- 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.

- 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 ??

- 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???

- Are the events of carrying this mutation and developing cancer
Independent or dependen/

- 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 |

- Find the probility that randomly selected whether has one month income or more set aside for amergencies
Probability is????? (round near thousands)

- 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 )

- Given that randomly selected worker has 1 month income or more, find the probability that worker is a female
- Are the events “having less than 1 month income saved” and “ are independent or dependent”?

- 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

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

- Compute the probability of randomly select a Diamond or Heart.
- Compute the probability of randomly selecting a Diamond or Heart, Club.
- Compue the probability of randomly selecting a Five or Heart.

- P (Diamond or Heart)=??? (type integer or simplified fraction)
- P (Diamond, Heart, Club)=???? (type integer or simplified)
- P (Five or Heart)= ????? (type integer or simplified)

- 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 |

- Find the probability that the person is frequently or occasionally involved tochasting work.
P(Being frequently involved or being occasionally involved)= ??? nearest thousand

- 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

- Find the probability that the person is male or frequency involved in charity work.
P(Being male or being frequently involved)

- Find the probability that the person is female or not frequently involved in charity work.
P(being female or not frequent involved)?????