# MATHEMATICS

- 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)?????

- 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=