Section 4.2. Probability Distributions for Discrete Random Variables Exercise 2. Determine whether or not the table is a valid probability distribution of a discrete random variable. Explain fully a. 0.25 0.50 0,35 0,10 0.30 b. 0.325 0.406 0,164 C. 26 0.27 27 28 0.18 29 0,14 0.13 Exercise 4. A discrete random variable X has the following probability distribution: 24 0.17 27 0.16 20 0,22 0.25 0,20 Compute each of the following quantities a. P(18) b. P(X> 18) c, P(X 18) d, The mean μ of X e. The variance σ2 of X f. The standard deviation σ of X

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Section 4.2. Probability Distributions for Discrete Random
Variables
Exercise 2. Determine whether or not the table is a valid probability distribution of a
discrete random variable. Explain fully
a.
0.25
0.50
0,35
0,10
0.30
b.
0.325
0.406
0,164
C.
26
0.27
27
28
0.18
29
0,14
0.13
Exercise 4. A discrete random variable X has the following probability distribution:
24
0.17
27
0.16
20
0,22
0.25
0,20
Compute each of the following quantities
a. P(18)
b. P(X> 18)
c, P(X 18)
d, The mean μ of X
e. The variance σ2 of X
f. The standard deviation σ of X
Transcribed Image Text:Section 4.2. Probability Distributions for Discrete Random Variables Exercise 2. Determine whether or not the table is a valid probability distribution of a discrete random variable. Explain fully a. 0.25 0.50 0,35 0,10 0.30 b. 0.325 0.406 0,164 C. 26 0.27 27 28 0.18 29 0,14 0.13 Exercise 4. A discrete random variable X has the following probability distribution: 24 0.17 27 0.16 20 0,22 0.25 0,20 Compute each of the following quantities a. P(18) b. P(X> 18) c, P(X 18) d, The mean μ of X e. The variance σ2 of X f. The standard deviation σ of X
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