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STA013 12 Stats questions PROBABILITY MASS FUNCTION

STA013 12 Stats questions PROBABILITY MASS FUNCTION

Daniel Kevins

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Please answer all 12 questions and show your work. Thank you very much.

1.Which of the following tables determines a valid probability mass function.

X = x	x=0	x=1	x=2	x=3
P(X = x)	.5	.1	.35	.15

X = x	x=0	x=1	x=2	x=3
P(X = x)	.5	.15	.35	-.05

X = x	x=0	x=1	x=2	x=3
P(X = x)	.5	.1	.35	.05

X = x	x=0	x=1	x=2	x=3
P(X = x)	.45	.1	.35	.05

2. Consider the following probability mass function for a random variable X. Determine P (1 < X < 4).

X = x	x = -1	1	2	3	4
P(X=x)	.35	.15	.05	.25	.2

3.Consider the following probability mass function for a random variable X. Determine E [ X ].

X = x	x = -1	1	2	3	4
P(X=x)	.3	.15	.05	.3	.2

4.Consider the following probability mass function for a random variable X. Determine E [ X2 ].

X = x	x = -1	1	2	3	4
P(X=x)	.35	.15	.05	.25	.2

5.Consider the following probability mass function for a random variable X. Determine Var [ X ].

X = x	x = -1	1	2	3	4
P(X=x)	.35	.15	.05	.25	.2

6.A home security system is designed to have a 99% reliability rate. Suppose that nine home equipped with this system experience an attempted burglary. Find the probability that exactly two of the alarms are triggered.

REST OF QUESTIONS ARE ON PDF.

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Daniel Kevins

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