If a random variable X has the x² distribution with degree of freedom 7. Then P(2.167 < X < 6.346) = 0.34 0.24 0.19 0.45

Q: A discrete random variable X has a Geometric distribution with E(X) = 1.5. Calculate P(X > 5). %3D

A: It is given that the mean is 1.5.

Q: Let X be a random variable with normal distribution with mean 6 and variance 4. Then P(X-6>3.12)-…

A: 1) It is given that, X be a random variable with normal distribution with mean 6 and variance 4 i.e.…

Q: A random variable x has a normal distribution with mean 1000 and standard deviation 100.  Which of…

A:

Q: Let X be a discrete random variable with Poisson distribution, and with parameter 18. What is the…

A: Answer is option a.910 Explanation is given below

Q: If the random variable X follows a Poisson distribution with parameter 10, what is the probability…

A: From the given information we find the probability.

Q: The uniform distribution of a random variable X is given in the figure below. 1 2 From the figure,…

A:

Q: Given a random variable Z with a standard normal distribution, calculate the following…

A:

Q: If Z is a random variable from a standard normal distribution and if P(Z<a)=0.42, then P(Z<-a)=0.58.…

A: If Z is a random variable from a standard normal distribution and if P(Z&lt;a)=0.42, then…

Q: If Z is a random variable from a standard normal distribution and if P(Z < a) = 0.72, then %3D P(Z <…

A: Therefore,

Q: If Z is a random variable from a standard normal distribution and if P(Z < a) = 0.7, then P(Z <= a)…

A:

Q: The uniform distribution of a random variable X is given in the figure below. 0 2 1. X From the…

A:

Q: The random variable X has the following probability distribution.…

A: X      1       2      3 P(X) 0.5   0.2    0.3 We select a random sample of size 2 (with…

Q: Suppose that X is a normal random variable with unknown  mean μ and known variance σ2 . The prior…

A: Given that X is a normal random variable with unknown mean μ and known variance.

Q: Compute the mean and standard deviation of the random variable with the given discrete probability…

A:

Q: Let X be a random variable that follows the Poisson distribution with a mean of Find: a. Р(X-0) b.…

A:

Q: Consider the probability distribution of random variable N: 1 2 P(n) 0.2 0.2 0.6 Consider the…

A: Expectation of a Discrete Random Variable: The expectation of a discrete random variable X, denoted…

Q: 5. For a standard normal distribution, what is the probability that z is less than 1.25? A) 0.8944…

A: (5)  Let Z be the random variable from standard normal distribution with mean = 0 and standard…

Q: Let the random variable X fit the binomial distribution with p=1/2 , n=3 parameters. Plot the…

A: Given Data: n=3 p=0.5   Distribution function is also known as cumulative function

Q: Suppose the random variable X follows a normal distribution with mean 8 and variance 25. Thus the…

A: Given, Mean μ = 8Variance σ2 = 25Standard deviation σ = Variance = 25 = 5

Q: Let X denote a random variable that has a Poisson distribution with mean 1= 2. Find (a) P(X = 4) %3D…

A: Here X~ Poisson with parameter 2. We need to find the required probabilities.

Q: If Z is a random variable from a standard normal distribution and if P(Z> c) = 0.22, then P(Z < -C)…

A: Z is a random variable from a standard normal distribution.

Q: able Z follows a standard distribution, find p(-1.2<Z<1.2)

A: USe standard nomla table to find the rporbabiloities corresponding to the given z values.

Q: The random variable Y has a Poisson distribution and is such that  p(0) = p(1).  What is  p(5)?…

A:

Q: -3 -2 -1 1 2 3 O P(Z 1.5) O P(Z < 1.96) O P85

A: The shaded region for P(Z&lt;-1.5) is,

Q: Let X be a discrete random variable with Poisson distribution, and with parameter 64. What is the…

A:

Q: Consider that a random variable Y follows a uniform distribution bounded between 7 and 31. a) What…

A:

Q: For the random variable Z follows a standard distribution, find P(-1.2<Z <2.1)

A: Given data: For the random variable Z follows a standard distribution, To find ; P(-1.2&lt;Z&lt;2.1)

Q: If X represents a random variable coming from a normal distribution with mean 5 and if P(X> 6) = 0.4…

A: The mean is 5.

Q: 1. n = 30 and p = 0-6 2. n = 50 and p = 0.45 3. n = 80 andp= 0.35

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: The uniform distribution of a random variable X is given in the figure below. 0 1 2 From the figure,…

A:

Q: Suppose that random variable t follows a Student t distribution with degrees of freedom v = 20. E(t)…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: If a random variable X has the gamma distribution with a = 2 and B= 1, find P(2.1<X< 2.6).…

A: Given, A random variable X has the gamma distribution with a = 2 and B = 1

Q: The joint distribution of the random variable X and Y is given in the following table:

A: From the total probability condition, ∑x∑yPx,y=1 Consider,…

Q: The probability distribution of a random variable X is given in the table below: -4 -2 2 4 .1 .2 .3…

A: Mean=E(X)=-4(0.1)+(-2)(0.2)+0(0.3)+2(0.1)+4(0.3)=0.6

Q: Let the random variable X denote the number of girls in a five-child family. If the probability of a…

A: Given: Probability of success (p) = 0.5 Consider X be the random variable that follows the binomial…

Q: The uniform distribution of a random variable X is given in the figure below. 0 1 2 X From the…

A:

Q: If X represents a random variable coming from a normal distribution with mean 5 and if P(X>6.1)=0.2,…

A: Given: Meanμ=5, P(X&gt;6.1)=0.2

Q: The random variable X has a binomial distribution with n=6 and p=0.3. Calculate P(X greater than or…

A: Given,n=6p=0.3A random variable X~Binomial(n=6 , p=0.3)P(X=x)=6x 0.3x1-0.36-xP(X=x)=6x 0.3x0.76-x  ;…

Q: If Z is a random variable from a standard normal distribution and if P(Z > c) = 0.39, then P(Z < -…

A: In question,  Given that, Z is a random variable from a standard normal distribution. And pr(Z &gt;…

Q: Let X be the random variable with the following distribution: x: 1 2 3 4 5  P(X=x): k 0.04 0.3 0.2…

A:

Q: Let X be a binomial random variable with n 25 and p =0.6. Approximate the following probabilities,…

A: It is given that the sample size n is 25 and the p is 0.6.

Q: Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)

A: A uniform distribution is a probability distribution that has constant probability. So, it is also…

Q: Given two normal random variables: X-Normal(μ-6,0-15) and Y-Normal(u=15,0-3). What can be said about…

A: Given two normal random variables. X~N(μ=6,σ=15) and Y~N(μ=15,σ=3) Then  Z1=X-μσ and Z2=Y-μσ…

Q: If a random variable X has a binomial distribution with parameters n = 15 and p = 0.5, find : P(10…

A: Given, X has a binomial distribution with parameters n=15 and p=0.5 Therefore, the probability mass…

Q: Given a random variable Z with a standard normal distribution, calculate the following probabilitie…

A: Given that  The random variable Z follows a standard normal distribution.

Q: Let X be the random variable with the following distribution: x: -2 3 5 P(X=x): 0.3 0.2 0.5 Find…

A: