The probability density function of a random variable x is f( x ) = kx ( x- 1) in 1 SAS4 %3D O else where p(1Sx<3 ) = 28 Find the value of k. 3 %3| %3D
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A: a) The expectation is calculated as follows: EX=∫01x6x-x2dx=∫016x2-x3dx=6x33-x4401=613-14=612=12
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A: You have posted multipart questions , we are allowed to solve only first three parts. Please post…
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Q: Suppose that the random variable X has the probability density function c(1– x?) for - 1< x <1 f(x)…
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Q: If X is a continuous random variable with p. d.f. (X f(x) = }6 ,0 <x< 3 12 ,othewise
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- Consider the continuous random variable with probability density function fx(x) = 3x² for 0Example 3: The probability density ƒ(x) of a continuous random variable is given by f(x) 3 ce , -mplease send correct answer Q4Let Xbe a random variable with density function (2x² - 1A random variable has probability density function f(x) = 30x (1 - x) <(0 < xs 1). Compute its cumulative distribution F(x). O 10x3- 15x4 + 6x5 + 1 O 30x(1 - x) O 30x2 - 60x3 + 30x4 O 10x3 - 15x4 + 6x5 O none of these A Moving to the next question prevents changes to this answer. to search 63°F S End F10 Home %23 PrtScn F8 F2 F3 F4 F5 F6 F7 F9 近The service life T (this year) of a particular type of electric toothbrush is assumed to have the probability density f given by: see figure question (a) Find the probability that a randomly selected toothbrush (of this type) has a lifespan of more than 2 years.(b) Assume that a toothbrush of the same type has been working for one year already. What is the probability that it works for at least another 3 years?(c) What is the probability that the average lifespan of T¯ for 90 independent toothbrushes is greater than 2.1 years?Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON