b) Let X be the random variable with the cumulative probability distribution: 0 x < 0 0≤x≤2 F(x) = {kx² = {xx² 1 x ≥2 Determine the value of k. c) Let X be the random variable with the cumulative probability distribution: 0 x < 0 " F(x) = {₁ - e-²x x≥0 } Determine the expected value of X. d) The random variable X has a Poisson distribution such that P(X= 0) = P(X = 1). Calculate P(X = 2).
b) Let X be the random variable with the cumulative probability distribution: 0 x < 0 0≤x≤2 F(x) = {kx² = {xx² 1 x ≥2 Determine the value of k. c) Let X be the random variable with the cumulative probability distribution: 0 x < 0 " F(x) = {₁ - e-²x x≥0 } Determine the expected value of X. d) The random variable X has a Poisson distribution such that P(X= 0) = P(X = 1). Calculate P(X = 2).
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Transcribed Image Text:b) Let X be the random variable with the cumulative probability distribution:
0
x < 0
F(x) = {kx²
1
0≤x≤2
x ≥2
Determine the value of k.
c) Let X be the random variable with the cumulative probability distribution:
0
x < 0
F(x) = {₁²e-²x
}
x ≥ 0
}
Determine the expected value of X.
d) The random variable X has a Poisson distribution such that P(X = 0) = P(X = 1).
Calculate P(X = 2).
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