Suppose that Y is an exponential random variable with λ = 4. Find. P[Y > (E(Y) + 2√√Var(Y))].

Q: P(x) = %D 1. Let x! and let H=10. Find P(9)

A: To calculate P(9),  We have to substitute all the values in the expression of P(x).

Q: A random variable has a PDF f(x) = i) The value of C. ii) P (X> 2). √√25-x² -5<x<5. Find

A:

Q: Suppose X is time to take a portion of the SAT test and f(x) = x/8 from 0 to 4 hours. Find P(X =2)…

A: We have to find corrcet option.

Q: ,6 .6 If f(x)dx=10 and| f{x)dx=3, then | f(4 – x)dx=? -2

A:

Q: If f(x) = 5x + In(x – 2), find f15) A. OIn 13 В. C. O5 D. IC

A: Given function is f(x)=5x+ln(x-2) Let f-1(15)=a. Then f(a)=15 Now just check all the options one by…

Q: Compute 1 2 √x +2 -dx.

A:

Q: Let P(t) = 28(1 - e-kt) + 57 represent the expected score for a student who studies t hours for a…

A: The function that represent the expected score for a student is given as P(t)=28(1-e-kt)+57

Q: ,6 .6 .6 If | f(x)dx=10 and f(x)dx=3, then || F(4 – x)dx=? -2 A) 6 В C) 7 D) 10

A:

Q: Find 一 az ay -0 if z = (6x + 5y) 7.

A:

Q: If p(z > k) = 0.2946 then k = ... ..

A: We have given a standard  Normal distribution. We need to find the value of k using standard normal…

Q: 1 What is S dx? x²+2x+5

A:

Q: Suppose 10% of the population of WVU students has tested positive for COVID-19, W, represents the…

A: Let,  W1 represents the part of the population that has tested positive.   W2 represents the part of…

Q: 1. D, [3x²y+In(xy²)] За + In(xg In(xy³)]

A: Given,

Q: f(x) = D, = R/{1,–1} 3 %3D %3D :Select one True False

A: Given function f(x)=3x2+1

Q: Evaluate (for x>0) 3√x dt d dx A 2 1+t²

A: Given :ddx∫0x3dt1+t2

Q: 3. Find the sum of all values of k such that 2k k -dx =15. (A) 3 (B) 2 (C) 1 (D) 0 (E) 1/2

A: ∫12kx-kx2dx=15∫12kxdx-∫12kkx2dx=15∫12kxdx-k∫12kx-2dx=15x2212k-kx-2+1-2+112k=15x2212k-kx-1-112k=15x22…

Q: Let X be the outcome from rolling one die and Y be the outcome from rolling a second die. Find E…

A: Taking  X and  Y are two independent events and taking their Probability Mass Function......

Q: E (x. - x Y Show that is a consistent estimator for o is N (µ, o²).

A: ANSWER: For the given data,

Q: Let X have the pmf, Find the pmf of Y = X4. p(x) = (-)". 2 x= -1, -2, -3, ...

A:

Q: Q4 Prove that E(",") = ("::)- () .n 2mzr. %3D +1 +1

A: we have to prove that                                                   ∑k=0mn-kr=n+1r+1-n-mr+1 now,…

Q: Find zα/2 for α=0.19.

A: Given: α=0.19

Q: 1-2x (c) Determine the values of a, b and c if =1+ax+ bx? + cx. Hence, by 1+2x, 1 show that 2 s 3,…

A:

Q: d. Compute E(X) and Var(X).

A:

Q: Suppose P(E1|E2) = 0.46, P(E2|E1) = 0.92, and P(E1) × P(E2) =0.18. Determine P(E2), giving your…

A: Given,P(E1 | E2)=0.46P(E2 | E1)=0.92P(E1)×P(E2)=0.18

Q: 3. Find all possible values of k if "(2x + 4) dx = -12

A: Given integral is as below:

Q: Compute dx. x2 + 4x + 8

A: Our Aim is to compute the integral given below:-∫02 xx2+4x+8dx -(i)