Section 4.2. Probability Distributions for Discrete RandomVariablesExercise 2. Determine whether or not the table is a valid probability distribution of adiscrete random variable. Explain fullya.0.250.500,350,100.30b.0.3250.4060,164C.260.2727280.18290,140.13Exercise 4. A discrete random variable X has the following probability distribution:240.17270.16200,220.250,20Compute each of the following quantitiesa. P(18)b. P(X> 18)c, P(X 18)d, The mean μ of Xe. The variance σ2 of Xf. The standard deviation σ of X

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Asked Feb 26, 2019
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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
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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

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Expert Answer

Step 1

Hello there ! I see that there are more than one questions here. Accoding to our policies cannot answer more than one question. So do find the solution to Exercise 2.

Step 2

Given a distribution of a discrete random variable. We need to check it if it is valid probability distribution or not.

A distribution is valid probability distribution if and only if All P(Xi) ≥ 0 and   ∑P(Xi) = 1.

Here the first distribution is shown below

Here all probabilities are not greater than or equal to 0. We see P(X=0) = -0.25. This is not possible, So we say that this is not a valid probability distribution.

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