Math Answers

Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8, 9, 10}. Find

a. (A ∪ B) ∩ C.

b. (A ∩ B) ∪ C.

c. (A ∪ B) ∩ (A ∪ C).

 A researcher is conducting a survey about the cellphones used by 50 employees. If � represents the number of users of Brand X, what are the possible values of �? (2 points

A jeepney can accommodate 16 passengers. If x denotes the number of male passengers

in the jeepney when it is full, what are the possible values of x?

Random Variables

Direction: Solve the problem below and complete the table.

Suppose three cellphones are tested at random. We want to find out the number of defective cellphones that occur. Thus, to each outcome in the sample space we shall assign a value.

Let D represent the defective cell phone and N represented the non-defective cell phone. If we let X be the random variable representing the number of defective cell phone, show the values of the random variable X? Complete the table below.

Possible Outcome Value of the Random Variable X

(Number of defective cell phone)

Identify if the given statement is a proposition or not.

There are no black flies in Maine.

Calculate the mean, variance, and standard deviation. Show your solution.

1. X P(X)

1 0.11

2 0.49

3 0.33

4 0.07

2. X P(X)

2 2/10

4 3/10

6 4/10

8 1/10

3. X P(X)

1 0.25

3 0.13

4 0.35

6 0.27

A deck of 52 playing cards has 4 aces. The probability of getting one ace less than zero

A population consists of the four numbers 1, 2, and 4. List all the possible samples of size n=2 which can be drawn replacement from the population. Find the following

a.) Population means

b.) Population Variance

c.) Population Standard Deviation

d.) Mean of the sampling distribution of sample means

e.) Variance of the sampling distribution of sample means

f.) Standard deviation of the sampling distribution of sample means

Suppose the time spent by a randomly selected student at a campus computer lab has a gamma distribution with mean 20 minutes and variance 80 minutes.

A square sheet of metal has sides 2p. The circle fits perfectly into the square:

2p

The area between the square and the circle is