(3) Let X be a random variable with p.d.f 3x* + 6x) 0

Q: C(n,r) = r! Use combinations to compute the probability that both balls are white. Compute the…

A: Given Two balls are drawn at random from an urn containing five white eight red balls.

Q: 1 The discrete random variable X has Var (X) = 5 Find Var (4X – 3)

A: Given Data: Var(X)=5 Equation: Var(4X-3) ......(1) Simplify the equation (1). Var4X-3=42VarX=16VarX

Q: A random variable X can take on only three values: 1, 3 and 0. X takes value 1 with probability and…

A: Given that  Probability mass function of X is x 0 1 3 P(x) 1/12 1/4 2/3

Q: 3. The expection of a random variable X is equal to 5. What can be say about the expectations of (a)…

A: Given, Expectation of random variable X is 5. E(X) =5

Q: Suppose that A and B are independent events such that P(B) = 0.70 and P (B)=0.20. Find P(An B) and P…

A: Given thatA and B are independent events.such that

Q: Suppose that X and Y are random variables with E(XY) = E(X)E(Y). Then X and Y * independent. Also…

A: We know that if X and Y are independent then E(XY)=E(X)E(Y). But the converse is not always true.…

Q: Suppose that X and Y are random variables with E(XY)=E(X)E(Y). The. X and Y (Must be/ cannot be/ may…

A: E(XY)=E(X)E(Y)

Q: 1+3x 1-4x (10) If a random variable assumes 4 values with probability 1+1 1+2 and the condition on x…

A: A random variable assumes 4 values with probability p1=1+3x4 , p2=1-x4 , p3=1+2x4 , p4=1-4x4

Q: (1) Let X be a random variable with a function [3 1 x= 0,1,2,3 4 x! (3-x)! fx) = { , then E(x) is…

A: Given, X is a random variable with the function below

Q: Let A and B be two events such that P(A) = 1/6 While P(A or B) = 1/2. Let P(B) = P. For what values…

A: P(A or B)= P(A)+P(B)-P(A and B) For A and B to be independent P(A and B)=P(A).P(B) Therefore, P(A or…

Q: Η 0.1 0.4 11 0.25 C

A: The given Venn diagram is

Q: An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t)…

A: given data, outcomes and value of x  are given we have to find out the probability distribution of x…

Q: (a) The correlation

A: Answer:

Q: n ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (1)…

A: Solution: Let N be the random variable counting the number of heads in each outcome From the given…

Q: 10- If the random variable X has the gamma p. d. f with integer parameter a and arbitrary ß> 0, then…

A:

Q: Let Y be a discrete random variable with generating function 4 Gy (s) = 6 – What is Var(Y) (in…

A:

Q: (2) Let X be a random variable with p.d.f. ke sx)={ then O.w

A: We have to use properties of probability function.

Q: A continuous random variable X has the p.d.f f(x) = {A(2 – x)(2 +x), 0<x< 2, Find (i) the value of…

A: Solution: b. From the given information, the probability density function of X is

Q: Let y be a continuous random variable with probability distribution: X cl (6x(1-x), for 0 < x < 1,

A: The probability distribution of X is,

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.