Write clear please Let X be a random variable with the probability distribution below. Find E(X) and E(x-) and then, using these values, evaluate E (3X+2)² |.- 311f(x)Find E(X).E(X)=(Simplify your answer.)Find E (x?).E (X²) =(Simplify your answer.)Evaluate E[(3X +2) ].E[3x+2°]=D(Simplify your answer.)

Answered: Write clear please

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 44E

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Similar questions

The conditional probability of E given that F occur is P(EF)= _____________. So in rolling a die the conditional probability of the event E. “getting a six,” given that the event F, “getting an even number.” has occurred is P(EF)= ____________.
The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the conditional probability of the event E, getting a six, given that the event F, getting an even number, has occurred is P(EF)=___________.
If the joint probability distribution of X1 and X2 isgiven by f(x1, x2) = x1x236for x1 = 1, 2, 3 and x2 = 1, 2, 3, find(a) the probability distribution of X1X2;(b) the probability distribution of X1/X2.
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Let X be a random variable with the mean µ and the variance. Show that E|X|=3 and E|X2|=13, use the Chebyshev inequality to determine a lower bound for P[-2 < X < 8].
f X is a random variable such that: E(X) = 6.2 and E(X2) = 62.5, then what is the standard deviation of X?
If X is a uniform random variable over the interval (8, 12), find E[X]
LetX1,X2,...,Xn be a sequence of independent and identically distributed random variables having the Exponential(λ) distribution,λ >0, fXi(x) ={λe−λx, x >0 0, otherwise Define the random variable Y=X1+X2+···+Xn. Find E(Y),Var(Y)and the moment generating function ofY.
The lung cancer hazard rate λ(t) of a t-year-old male smoker is such that λ(t) = 0.027 + 0.00025(t-40)2, and t >= 40. Assuming that a 40-year-old male smoker survives all other hazards, (a) what is the probability that he survives to age 50 without contracting lung cancer?(b) what is the probability that he survives to age 60 without contracting lung cancer?
Let X1 and X2be independent exponential random variables: fX1(x1) = e−x1 and fX2(x2) = e−x2 1
A firm's revenue, in $1000, is estimated by the equation R = 100 + 20A + X, where A, the advertisement expenditure in $1000s is known (non-random), and X ~ N(0, 900) for any value of A. QUESTION: Compute the level of advertisement expenditure to ensure that the probability of revenue being larger than $110,000 is 0.95. Show an explanatory graph.

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