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1. The table below gives all possible values of the random variable X and their respective probabilities, P(X). Calculate the mean of the random variable,

1. The table below gives all possible values of the random variable X and their respective probabilities, P(X). Calculate the mean of the random variable, X. Do not round your answer.

X P(X)
0 0.10
2 0.30
7 0.45
12 0.15

a) 4.5

b) 0.5

c) 5.25

d) 5.55

2. Compute the standard deviation of the discrete probability distribution. Round to two decimal places.

X P(X)
-5 0.5
-4 0.1
0 0
2 0.22
6 0.10
7 0.08

3. In the discrete probability distribution below, calculate the value of :

X P(X x)
0 0.05
1 0.15
2 0.35
3 0.45
4 0.79
5 1

a) 0.25

b) 0.45

c) 0.10

d) 0.35

4. In the discrete probability distribution below, calculate the value of :

X P(X)
0 0.2
1 0.1
2 0.3
3 0.15
4 0.18
5 0.07

a) 0.6

b) 0.15

c) 0.25

d) 0.75

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