Let X be a binomial random variable with probability distribution 3-a SOOʻO**, x = 0,1, 2, 3, f(x) = 0, %3D elsewhere. Find the probability distribution of the random variable Y = X².

Q: Suppose the cumulative distribution function of the random variable X is x < 0 F(x) = { 0.2x 0 < x <…

A:

Q: Let T be a random variable giving the number of heads in three tosses of a coin. Construct the…

A: Given: T: No. of heads in 3 tosses of a coin

Q: The random variable X can only take the values ​​1, 2, 3 and 4 with equal probability. Determine the…

A: Given information: A random variable X has been given that can take only values 1, 2, 3 and 4. The…

Q: If the number of users entering a metaverse is a Poisson random variable whose mean is 2 person per…

A:

Q: A bank operates both a drive-up facility and a walk-up window. On a randomly selected day, let X be…

A: Probability : Probability is a field of mathematics that deals with numerical descriptions of how…

Q: If 40% of all commuters ride to wirk in carpools, find the probability that if 8 workers are…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let Z be a random variable corresponding to the sum of the outcomes of (two independent) rolls of a…

A: Let Z be a random variable corresponding to the sum of the outcomes of (two independent) rolls of a…

Q: Let W be a random variable giving the number of tails minus the number of heads in three tosses of a…

A: From the given information, three coins are tossed. That is, the total number of outcomes is 23=8.…

Q: From a lot of 10 items containing 3 defectives, a sample of 4 items is drawn a random. Let the…

A:

Q: Show that X and Y are both zero-mean random variables and that they uncorrelated.

A:

Q: is x discrete or a continuous random variable

A:

Q: Suppose the random variable X has the binomial distribution with parameters n=8 and p=0.67.…

A: We have given that,  The X be a random variable that follows Binomial distribution with parameter…

Q: Let the random variable X fit the binomial distribution with parameters (p,N). Find the variance by…

A: Solution : Given : X ~B(p, N) where, p = probability of success N= no. of trials x = no. of…

Q: if x be a random variable belong to geometric distribution with mean= 3 then p(x-D2) is

A: It is given that mean (1/p) is 3.

Q: Which random variable X is a discrete variable?

A: The number of degrees of the liquid can be in decimal. It can take any real value. So it is a…

Q: In a production process defectiveness rate is 0,6 and we assume that inspections are independent.…

A:

Q: According to a survey, 31% of employees working at a very large company are happy with their jobs.…

A: 31% working employees of a large company are happy with their jobs. So, probability that an employee…

Q: A discrete random variable X has the mean 6 and variance 2. If it is assumed that the distribution…

A:

Q: 1. Explain how to generate a random variable X distributed as the Cauchy distribution, whose…

A:

Q: If the random variable X is distributed according to the Binomial distribution Bin(5,0.6) then…

A: Let X represent random variable   X~ Binomial(5, 0.6)

Q: Find the mean of the random variable X.

A: Let X is a continuous random variable. The probability density function is given as,…

Q: find the mean of the random variable X (ii) If the probability that an individual will suffer a bad…

A: Solution:

Q: (b) Drink gupons was distributed to cyclists passing through an enterance gate. In the previous…

A: X is random variable which represents the number of cyclists, not accepting the coupon.  X follows…

Q: suppose that X is a random variable with probability distribution.P(X=k)= 0.02k,where k takes the…

A: Given: P(X=k) = 0.02k k = 8,12,10,20 Here takes the value 8,12,10,20

Q: Let X be the Random Variable representing the number of boys in families with 3 children. Find the…

A: Solution-: Let X be the Random Variable representing the number of boys infamilies with 3 children.…

Q: If x" bin(n1,p) and x2~bin(n2,p) then find the distribution of x1|x1+x2 ; where x1 and x2 are…

A:

Q: a) Suppose that X denoted a random variables from a binomial distribution with parameter n, p. Find…

A:

Q: Let x be a Poisson random variable with μ = 0.9. Find the probabilities for x using Table 2. (Round…

A: Let X follows Poisson distribution with mean 0.9

Q: Find the expectation of a discrete Random variable whose probability function is fx (x) = for x I,…

A: Answer: Using the given data, We get,

Q: Let X be the random variable representing the systolic blood pressure (mmHG) in healthy adults. It…

A: Given, Systolic blood pressure follows normal distribution with mean 112 and standard deviation 10…

Q: If the random variable X has a Poisson distribution where the lambda equals 7, Then the probability…

A: Givenλ=7x~poisson(λ=7)P(X=x)=e-λ×λxx!   x≥0

Q: Suppose that in a day, the probability of a car agents' not closing any deal is 0.35. On the other…

A: Consider, X be the random variable that shows the number of deals that are closed. Using the given…

Q: Find the characteristic function of a random variable having the binomial distribution with…

A: The characteristic function of a random variable having the binomial distributio with parameters p…

Q: The probability that a hockeyteam scores a total of 1 goal in a game is 0.124; 2 goals, 0.297; 3…

A:

Q: If x is a random variable that has a uniform distribution in the interval [1,7].[1,7]. What is the…

A: Solution-: Let, X- be the the random variable Given: a=1, b=7 We find, P[the random variable x…

Q: X has a random variable with Poisson distribution A = 2. Accordingly, what is the probability value…

A:

Q: Define the random variable X.

A: The table shows the probability distribution.

Q: The probability distribution of the discrete random variable X is 3-x x = 0,1,2,3. .4, Find the…

A: Solution-: We have the p.m.f. of X is given by,  f(x)=3x*(14)x*(34)3-x f  ;  x=0,1,2,3;   We find…

Q: A large insurance company indicates that 78% of the policy holders have at least one health issues…

A: As the variable, policy holder with health issues has only two given outcomes, 1 is assumed for…

Q: For the probability distribution of a discrete random variables, the probabilities of any single…

A: The probability can't be exceed than 1 for any distribution.

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

A: From the table we get: f(X=0)=0.3+0.1=0.4 And f(X=0, Y=3)=0.3

Q: Which one of these variables is a continuous random variable?

A: Continuous variables are those variables which can take any value in an specified interval. Discrete…

Q: Let X1, . . . , X7 independent random variables with exponential distribution of parameter λ = 2.…

A:

Q: Let A be a random variable corresponding to the sum of the outcomes of two independent rolls of a…

A: Let A be a random variable corresponding to the sum of the outcomes of two independent rolls of a…

Q: For the probability distribution of a discrete random variables, the sum of the probabilities of all…

A: For the probability distribution (discrete) to be valid, the following conditions must follow- Each…

Q: Suppose that a box contains 6 cameras and that 3 of them are defective. A sample of 2 cameras is…

A: Total camera that a box contain = 6 Defective cameras = 3 The probability of zero defective camera…

Q: Suppose that a box contains 6 cameras and that 3 of them are defective. A sample of 2 cameras is…

A: Given that, Box contains 6 cameras and 3 of them are defective we have to select 2 cameras

Q: Assume a random variable X follows a Poisson distribution with a mean μ=3. Find P(X≤3)   P(X≤3)=…

A: From the given information we find the probability.