Let X be the random variable with the following distribution: x: -2 3 5 P(X=x): 0.3 0.2 0.5 Find the mean  four decimal places

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P(-2.21 Z<…

A: From the given information we Want to find the probability between given Z score.

Q: Suppose that X is a normal random variable with a standard deviation of a =8. Ifwe know that Pr[X >…

A:

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: Let x be a normal random variable with a mean of 30 and a standard deviation of 4. Determine…

A: Let x be a normal random variable with a mean of 30 and a standard deviation of 4. Determine…

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P (Z>-1.00)…

A: Here Z follow the standard Normal distribution We want to find the probability that P ( Z&gt; -1.0 )…

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of…

A: Given that: P (-2.21 &lt; Z &lt; -1.39)

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

A:

Q: Consider the continuous normal random variable, X = {a typical customer’s expenditure at Baby-Toy…

A: Let the typical customer expenditure at Toy store be X. The mean and standard deviation of the…

Q: Let z be a random variable with a standard normal distribution. find the indicated probab P(-0.25 <…

A: P(-0.25≤z≤0.55)=?

Q: Let X be the random variable with distribution defined by the following table. Answer following…

A: To calculate: 1. Fill the table 2.Mean 3. Variance

Q: Let X denote the mean of a random sample of size 128 from gamma distribution with 2, and B = 4.…

A: Given dataLet x= mean of a random sample of size : n=128And follows gamma distributionα=2 and β=4To…

Q: Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine…

A: It is given that P(1.19 ≤ Z ≤ c) = 0.0811 Where Z follows N(0,1)

Q: Let y be a random variable having a normal distribution with a mean equal to 250 and a standard…

A: Population mean (mu) = 250Standard deviation (sigma) = 10a) show that the event y&lt; 260 has the…

Q: Let y be a random variable having a normal distribution with a mean equal to 250 and a standard…

A: Given Data: Y is the random variable Mean( Y)=250 Standard Deviation (Y)=50   Y~ Normal (250, 502)

Q: Find Me A. Use the Table of Standard Normal distribution to determine corresponding probabilities of…

A: Find  P(Z&lt;-1.45)=? P(0.5&lt; z&lt;2.33)=? P(Z&gt;1.78)=? Note: This probability value calculated…

Q: Let X is distribution of the random variable *: 1 Pi 7 2 3 4 9 6 27 4 27 8 27 Find quartiles q, and…

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Q: Let X be a normal random variable with μ = 18 and σ = 4. Find the value of the given probability.…

A: Given information’s are

Q: a. Above a z-score of 1.22 b. Below a z-score of -83 c. Below a z-score of 1.39

A: Our aim is to find the following :  a. P(Z&gt;1.22) b. P(Z&lt;-0.83) c. P(Z&lt;1.39) As per our…

Q: Find the probability of the following using the Standard Normal distribution (μ = 0, σ 1). a)…

A: We have to find out given probabiity..

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P(-2.21 <…

A: The Random variable Z follows a standard normal distribution We need to calculate

Q: The random variable X has a Poisson distribution with a mean value of 6. According to this P(25xS…

A: GivenMean value =6λ=6x~Poisson(λ=6)P(X=x)=e-λ*λxx! ; x≥0

Q: Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine…

A:

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

A: Given,A random varible X~U(0, 2)f(x)=12   ; 0≤x≤2

Q: Let X be a random variable with the following probability distribution: X -2 3 5 f(x) 0.5 0.2 0.3…

A: population mean : μ = E(x)

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

A:

Q: Use the z-table (attached to this test), calculator, or computer software to find the following:

A: Given: The random variable X approximately follows a normal distribution with mean (µ) is 0.01 and…

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P(Z > -1.00)…

A: The z value is -1.00.

Q: Let X be a random variable that can take the values 5, 9, or 13. And let f(x) be its probability…

A: Variance : Variance formula for the probability distribution is given by                  V(X) =…

Q: Given a random variable X having a normal distribution with µ=62 and o=15, find the probability that…

A: Random variable X is normally distributed with a mean of 62 and a standard deviation of 15.

Q: Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine…

A:

Q: TL.. Which of the following random variables is discrete? (A) the length of time a battery lasts (B)…

A:

Q: find the following probability. P(25<x<32)

A: Given that X follows N(mean = 25, SD = 4), then Z = (X - mean)/SD follows N(0,1)

Q: places.) x 0 1 2 3 P(X = x) 0.4 0.3 0.1 0.2 ? =

A: Given information- We have given the probability distribution for X. The given observations and…

Q: The probability distribution of random variable X is given below: 2 4 P(x) 0.6 0.4 A second random…

A: 6. Given information: x 2 4 P(x) 0.6 0.4 And Y=X2-1   If x=2, then Y=4-1=3. Here,…

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 X be a random variable that can take the values 2, 9, or 13. And let f(x) be its probability…

A:

Q: Let y be a random variable having a normal distribution with a mean equal to 50 and a standard…

A: Since, the question contains multiple subparts; we are solving the first 3 subparts. If you need any…

Q: Find Me A. Use the Table of Standard Normal distribution to determine corresponding probabilities of…

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

Q: Find the probability of the following using the standard normal-distribution a) P( -2.36 < z< -1.36)…

A: The objective of the problem is to find the probability of P-2.36&lt;z&lt;-1.36 and Pz&lt;1.36.

Q: Consider the discrete random variable X given in the table below. Calculate the mean, variance, and…

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

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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…

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Q: Let X be a random variable that follows the normal distribution with mean 32 and variance 6. Answer…

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Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P (Z>-1.00)…

A: The value of P(Z&gt;-1.00) is obtained as given below: P(Z&gt;-1.00)=1-P(Z≤-1)  =1-0.1587 [Using…

Q: The probability distribution of a random variable X is given. 14 х 10 11 12 13 15 1/8 1/8 2/8 1/8…

A: The mean of the variable X obtained as given below: Here, X denote the observation.

Q: X is a normally distributed random variable with a mean of 10 and a standard deviation of 5. The…

A: Given data, μ=10σ=5P(X&lt;9.7)=?

Q: Suppose that the random variable z has a standard normal distribution. Sketch each of the following…

A: Given: a) z(-0.01)b) z(-0.05)c) z(-0.10)

Q: Determine whether the following value is a continuous random variable, discrete random variable, or…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: Consider the following probability distribution for a discrete random variable X. Find the missing…

A: