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1 The following tables show the probability distributions for V = the number of traffic accidents reported in a day in Vernon and the probability

1 The following tables show the probability distributions for V= the number of traffic accidents reported in a day in Vernon and the probability distributions for Q= the number of traffic accidents reported in a day in Quesnel.

V P(V)

0 0.10

1 0.12

2 0.28

3 0.32

4 0.14

5 0.04

Q P(Q)

0 0.21

1 0.39

2 0.17

3 0.11

4 0.07

5 0.05

a. What is the mean or expected number of accidents in Vernon?

b. What is the mean or expected number of accidents in Quesnel?

c. What is the standard deviation of the number of accidents in Vernon?

. Even though the number of accidents in Vernon can be anywhere between 0 and 5 and the number of accidents in Quesnel can be anywhere between 0 and 5, the expected number of accidents is not the same in the two towns. Explain in your own words, why the expected numbers of accidents in the two towns differ.

. Fill the following table with the probabilities of getting X = the number of Heads out of 8 tosses of a fair coin (a fair coin has the same likelihood of landing Heads up as Tails up on any given toss). Round the probability numbers to 3 decimals.

X P(X)
0
1
2
3
4
5
6
7
8

. Make a diagram to show the probability distribution of X from question 2 above.

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