8. A random variable X has the following probability distribution: 5 6 7 3k k² 2k² 7k²+k X 0 1 2 34 P(X) 0 K 2k 2k Determine (i) k (ii) P(X < 3) 31

Q: 2. Let X be a random variable with the following probability distribution: -4 1 P(X)| 0.2 0.3 0.4…

A:

Q: Let X be a binomial random variable with probability distribution 3-a SOOʻO**, x = 0,1, 2, 3, f(x) =…

A: Solution-: Given: n=3,p=2/5 ∴X→B(n=3,p=2/5) The p.m.f. of X is given by,  P(X=x)=3x*(25)x*(35)3-x…

Q: 12. Find the distribution function of the random variable that has the probability distribution fx)…

A:

Q: 14. What is the probability distribution if X ~ B(3,0.82)? P(X = 0) = 0.55 P(X = 1) = 0.36 P(X = 2)…

A:

Q: A random variable X takes three values 0, 1, and 2 with probabilities and respectively. Obtain the…

A:

Q: Q1: If the value of the joint probability distribution of X and Y are as shown in the table: a) What…

A:

Q: 12. A random variable X has the following probability function: 0 1 2 3 4 P(X-X) k 3k 5k 7k 9k Find…

A: (12)   ( i ) We know that the sum of probabilities for a probability function is equal to one .…

Q: 3- Assume that you have a random variable X which is binomially distributed, and someone told you…

A: Step 1: Given that x follows binomial distribution with mean 6 and variance =4.2 That is,…

Q: If a random variable X has mean 3 and variance 4, then E(X² + 3X + 2) is

A: GivenMean=E(X)=3Variance=V(X)=4

Q: Suppose that X and Y are independent random variables having the joint probability distribution:…

A: Joint Probability Distribution: Let there are two random variables X and Y. Then the joint…

Q: Let X be a random variable with probability function f(x) = 36 1 49 x² Calculate the variance of X.…

A: f(x)=

Q: Suppose that X, Y, and 2 are jointly distributed random variables, that is, they are defined on the…

A: Given that E(X)=-8E(Y)=6E(Z)=-1Var(X)=33Var(Y)=25Var(Z)=48

Q: Suppose the random variable X has the following probability distribution. x:0, 2, 4 P(x=x)=0.2 0.1…

A: From the provided information The probability distribution table is as follow: X 0 2 4…

Q: 2. Let Z denotes a random variable with probability distribution function. -2 -1 1 3 P(Z=z) 0.1 0.3…

A: We have given that a random variable Z with probability distribution function.

Q: 36 1 LetX be a random variable with probability function f(x) x = 1, .. , 3. 49 x2 Calculate the…

A: The expected value of x can be obtained as:

Q: 5. Calculate the CDF, E(X) and var(X) for a discrete random variable with the following probability…

A: Probability is a branch of mathematics or statistics which basically deals with the chances of…

Q: 1. Let X be a random variable with probability f(z) = { I= 1,2, 3, 10, elsewhere. Find the…

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Find: (i) the value of k (ii) P (X 0.5

A:

Q: Find the value of p and work out P(2< X <5).

A:

Q: 5. A discrete random variable can assume 5 possible values, as listed in the accompanying…

A:

Q: Find the value of, (i) k (ii) P(X< 2) (iii) P(2 <X< 5). (1)

A:

Q: 10. Consider the random variable X whose probability distribution is given below: X Pr(X = x) 1 2 2k…

A:

Q: QIA Suppose that the probability of finding defectives within a manufactured lot of electrical fuses…

A: 1)A)Givensample size(n)=16p=0.2Let "x" be the no.of defectives within the…

Q: 16. A study of freely forming groups in cafes throughout Europe examined the number of individuals…

A: Given the probability distribution of number of individuals in laughing group X is given below: X…

Q: Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the…

A:

Q: 3) A discrete random variable X has the following probability distribution: 1 2 4 6. 7 P(X) K 2K 2K…

A: We want to find k, mean and variance.

Q: 4. The number of students entering in the canteen at any given hour is represented by a random…

A:

Q: 2. Let X be a random variable with the following probability distribution: -3 6 9 1/6 1/2 1/3 Find…

A: We will first find the probability mass function of X2 x x2 = Y f(y) (Probability remains the…

Q: 3-48. Let the random variable X be equally likely to assume any of the values 1/8, 1/4 , or 3/8.…

A: Given Information: Let the random variable X be equally likely to assume any of the values 18, 14,…

Q: (2) (3 For each question there are four choices marked, 2, 3 and 4 Choose only ONE that is the best…

A:

Q: Q P.6: On its way, a car meets 4 traffic lights, and the probability that each of them will be red…

A: Introduction: For a discrete random variable X, the probability mass function P (X = x) = p (x) must…

Q: 10. Two random variables X and Y take on the values i and 2' with probability 1/2' (i = 1,2, .. .).…

A: Ans .  Here X and Y take values i and 2i   with probability 1/2i     ( i = 1,2,3,4,...... )…

Q: (c) Compute P(X = 2 or X = 3)

A:

Q: Let X, Y, and Z exist as uncorrelated random variables that has a common variance. Get the…

A: Solution - Let X,Y and Z  exists as uncorrelated random variable that has common variance. Get the…

Q: Let X and Y be 2 random variables with joint probability distribution given in the following table:…

A: From the table we see that: f(X=0)=0.3+0.1=0.4 f(X=0 and Y=3)=0.3