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A committee of four people has to be formed from a class of 10 students. Find the number of ways this committee can be formed.

A committee of four people has to be formed from a class of 10 students. Find the number of ways this committee can be formed.

Question 1 options:

a)

5040

b)

4

c)

10

d)

210

Question 2 (2.5 points)

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How many distinct strings of letters can be made using all the letters in the word "PROBABILITY"?

Question 2 options:

a)

19,958,400

b)

3,628,800

c)

39,916,800

d)

9,979,200

Question 3 (2.5 points)

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Indicate whether the variable is a discrete or continuous random variable: how long you will wait at the next red light you encounter.

Question 3 options:

a)

Discrete

b)

Continuous

Question 4 (2.5 poin

Determine whether the following distribution represents a valid probability distribution.

X -3 -1 0 1 3
P(X) 0.25 0.25 0 0.35 0.20

Question 4 options:

a)

No, not all of the probabilities are positive.

b)

Yes

c)

No, not all of the X values are positive.

d)

No, the sum of the probabilities is not 1

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