# MATHEMATICS

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

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

1. P (Diamond or Heart)=???   (type integer or simplified fraction)
2.  P (Diamond, Heart, Club)=????  (type integer or simplified)
3. P (Five or Heart)= ????? (type integer or simplified)

1. 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

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

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

2. 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

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

P(Being male or being frequently involved)

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

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

5. 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

1. Perfom the indicated calculation

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

2. 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.

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

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

1. 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?

1. 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.

1. 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.

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

• The random variable is continous.
• The random variable is discrete.

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

• The random variable is continous.
• The random variable is discrete.

1. 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?

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

1. A frequently distribution below. Complete A through E

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

 X P(X) 0 ? 1 ? 2 ? 3 ? 4 ? 5 ? 6 ?

1. Find the mean of the probabilty distribution

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

2. Find the variable of probabilty distribution

02=

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