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2. If you draw an M&M candy at random from a bag of the candies, the candy you draw will have one of six colors.

2. If you draw an M&M candy at random from a bag of the candies, the candy you draw will have one of six colors. The probability of drawing each color depends on the proportion of each color among all candies made. Assume the table below gives the probabilities for the color of a randomly chosen M&M:

Color

Brown

Red

Yellow

Green

Orange

Blue

Probability

0.3

0.3

?

0.1

0.1

0.1

If you select two M&M's and the colors are independent, then what is the probability that both are brown?

3. Find the probability of a couple having at least 1 girl among 3 children. Assume gender is equal likely and independent. (Show work)

4. If you roll a fair 6-sided die 4 times, what is the probability you observe at least one 5?(show work)

5. The table below shows the political affiliation of 1000 randomly selected American voters and their positions on the school of choice program:

Political party

Position

Democrat

Republican

Other

Favor

260

120

240

Oppose

40

240

100

What is the probability that a randomly selected voter favors the school of choice program?

6. The table below shows the political affiliation of 1000 randomly selected American voters and their positions on the school of choice program:

Political party

Position

Democrat

Republican

Other

Favor

260

120

240

Oppose

40

240

100

What is the probability that a randomly selected Republican favors the school of choice program?

7. The table below shows the political affiliation of 1000 randomly selected American voters and their positions on the school of choice program:

Political party

Position

Democrat

Republican

Other

Favor

260

120

240

Oppose

40

240

100

What is the probability that a randomly selected voter who favors the school of choice program is a Democrat?

8. The probability distribution of random variable, X, is defined as follows:

X

0

1

2

3

4

5

Probability

0

0.3

0.1

0.3

0.2

?

Determine Pr(X = 5)

9. The probability distribution of random variable, X, is defined as follows:

X

0

1

2

3

4

5

Probability

0

0.3

0.1

0.3

0.2

?

Compute Pr(X = 3)

10. The probability distribution of random variable, X, is defined as follows:

X

0

1

2

3

4

5

Probability

0

0.3

0.1

0.3

0.2

?

Compute Pr(X < 4)

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