# mathematics

Question 1 of 20
1.0 Points

If a die is rolled one time, find the probability of getting a number greater than 2.

A.2
B.-1
C.5/6
D.4/6
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Question 2 of 20
1.0 Points

The result of tossing a coin once will be either head or tail. Let A and B be the events of observing head and tail, respectively. The events A and B are:

A.mutually exclusive
B.independent
C.conditional
D.unilateral
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Question 3 of 20
1.0 Points

What is the probability of drawing two queens in a row from a standard deck of cards without replacement?

A.0.0059
B.0.0385
C.0.0015
D.0.0045
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Question 4 of 20
1.0 Points

If the probability that it will rain tomorrow is 0.38, then the probability that it will not rain tomorrow is:

A.0.38
B.-0.38
C.0.62
D.1.38
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Question 5 of 20
1.0 Points

If A and B are mutually exclusive events with P(A) = 0.70, then P(B):

A.cannot be larger than 0.30
B.can be any value between 0 and 0.70
C.cannot be determined with the information given
D.can be any value between 0 and 1
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Part 2 of 6 –

Question 6 of 20
1.0 Points

In one town 33% of the households have a vehicle with all-wheel drive. If 4 households are selected at random, what is the probability that all 4 have vehicles with all-wheel drive?

A.0.0119
B.0.33
C.0.0825
D.0.4662
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Question 7 of 20
1.0 Points

A pet supplier has a stock of parakeets of which 10% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is the chance that the pet store gets exactly one blue parakeet?

A.0.081
B.0.243
C.0.027
D.0.003
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Question 8 of 20
1.0 Points

The probability distribution associated with the number of cartoons watched by Mrs. Kelly’s first grade class on Saturday morning is shown below.

x

P(x)

0

0.15

1

0.20

2

0.30

3

0.10

4

0.20

5

0.05

Find the standard deviation for the probability distribution above.

A.1.46
B.2.25
C.1.89
D.1.18
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Question 9 of 20
1.0 Points

Which of following statements are true regarding the probability distribution of a random variable X?

A.The probabilities must be nonnegative
B.The probabilities must sum to 1
C.The random variable must be continuous
D.Both (a) and (b)
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