Bill has researched that the life expectancy (in months) of Bluedenia plants is a continuous random variable with probability density function (pdf) given by f(x) = (1/36)[6x - x^2] for x between 0 and 6 and 0 otherwise. a. What is the probability that one of these plants survives for at most 5 months? Your answer should be correct to 3 places after the decimal point. %3D b. What is the expected value of the random variable; that is the mean life expectancy? Your answer should be correct to 3 places
Bill has researched that the life expectancy (in months) of Bluedenia plants is a continuous random variable with probability density function (pdf) given by f(x) = (1/36)[6x - x^2] for x between 0 and 6 and 0 otherwise. a. What is the probability that one of these plants survives for at most 5 months? Your answer should be correct to 3 places after the decimal point. %3D b. What is the expected value of the random variable; that is the mean life expectancy? Your answer should be correct to 3 places
A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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![Bill has researched that the life expectancy (in months) of Bluedenia
plants is a continuous random variable with probability density
function (pdf) given by
f(x) = (1/36)[6x - x^2] for x between 0 and 6 and 0 otherwise.
a. What is the probability that one of these plants survives for at
most 5 months? Your answer should be correct to 3 places after
the decimal point.
%3D
b. What is the expected value of the random variable; that is the
mean life expectancy? Your answer should be correct to 3 places](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc266d36a-9dbf-4807-8854-9b6a928e895c%2F3b53277a-ffb0-4af3-bb57-74bb602fe36f%2F6ru7h3e.jpeg&w=3840&q=75)
Transcribed Image Text:Bill has researched that the life expectancy (in months) of Bluedenia
plants is a continuous random variable with probability density
function (pdf) given by
f(x) = (1/36)[6x - x^2] for x between 0 and 6 and 0 otherwise.
a. What is the probability that one of these plants survives for at
most 5 months? Your answer should be correct to 3 places after
the decimal point.
%3D
b. What is the expected value of the random variable; that is the
mean life expectancy? Your answer should be correct to 3 places
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