1.Assume that X is a hypergeometric random variable with N = 15, S = 5, and...

1.Assume that X is a hypergeometric random variable with N = 15, S = 5, and n = 5. Calculate the following probabilities. (Round your answers to 4 decimal places.)

a	p(x=1)
b	p(x=5)
c	p(x≥2)

2. Consider the following discrete probability distribution.


x	−20	−5	10	20
P(X = x)	0.44	0.18		0.09

a. Complete the probability distribution. (Round your answer to 2 decimal places.)
b. What is the probability that the random variable X is positive? (Round your answer to 2 decimal places.)
c. What is the probability that the random variable X is greater than −15? (Round your answer to 2 decimal places.)
d. What is the probability that the random variable X is less than 20? (Round your answer to 2 decimal places.)

3. An analyst has developed the following probability distribution for the rate of return for a common stock.

Scenario	Probability	Rate of Return
1	0.23	−10	%
2	0.42	3	%
3	0.35	16	%

a. Calculate the expected rate of return. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.)

b. Calculate the variance and the standard deviation of this probability distribution. (Use the percentage values for your calculations (for example 10% not 0.10). Round intermediate calculations to at least 4 decimal places. Enter your answers as a percentage rounded to 2 decimal places.)

Expert Solution

orchestra answered 1 year ago

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