The probabilities of all the values of a random variable X must: OA. average to a small and negative number. OB. add up to 1. OC. average to 0. D. none of the above.

Q: The diameter X of an electrical cable is a continuous random variable with p.d.f: The probability…

A: Given that the diameter X of an electrical cable is a continuous random variable with p.d.f…

Q: Suppose x is a uniform random variable with c = 10 and d = 80. Find P(13 < x < 75).

A: X is a uniform random variable with c=10 and d=80. The probability density function of X is…

Q: otherwise If the expected value of the random variable X is 1/3. Find the values A and B.

A: Here use property of probability distribution function

Q: Suppose Mirza has bought 20 lottery tickets, in each of which has a chance of winning a prize is…

A: (a) The value of P(X≥2) is 0.2642, which is obtained below:…

Q: d. Find E(−4x + 16). e. Find V(−6x)

A: Given that, The random variable X denotes the number of tails in all five coins. There are 32…

Q: For the random variable X, E(X+1) = 3 , E(X- +X)= 9 then the value of Var(X) is 10 3 0 2 0 50

A: Given, E(X+1)=3 Then E(X)+1=3          E(X) =2 and E(X2+X)=9       E(X2)+E(X)=9       E(X2)+2=9…

Q: If X is a binomial random variable, compute the mean, the standard deviation, and the variance for…

A: From the provided information, a) n = 5, p = 0.4 The required mean (µ), variance (σ2) and standard…

Q: Suppose X is a normal random variable with u = 90 and o = 5. Find the values of the following…

A: Introduction: Define X as the random variable of interest here. It is given that X has a normal…

Q: Suppose X is a normal random variable with u = 360 and o = 20. Find the values of the following…

A: z=(x-mean)/s.d   refer following  z table for answers

Q: For a discrete geometric random variable X with probability p=0.77, what is the probability that…

A: Given: Probability of success (p) = 0.77 Consider X be the random variable that follows the…

Q: NBC News reported that 1 in 20 children in the U.S. has a food allergy.t Consider selecting 15…

A: Since, you have you have posted a question with multiple subparts we will solve first three subparts…

Q: A sample of n = 12 scores is selected from a normal population with u = 50 and o = 10. %3D a. What…

A:

Q: |If the expected value of the random variable X is 1/3. Find the values A and B.

A:

Q: ) Let X be a random variable with p.d.f.

A: It is an important part of statistics. It is widely used.

Q: If X is a normal random variable with parameters µ = 3 and o² = 9, find P(2 0). с. P(|X – 3| > 6).

A:

Q: The length, X, of a fish from a particular mountain lake in Idaho is normally distributed with μ=7.4…

A:

Q: Let X represent the number of heads that can come up when tossing a coin in two cases: twice and…

A: Solution-: We find sample PMF when tossing a coin in two cases: twice and thrice times

Q: If x is a random variable with Binomial distribution of n=6 and p=0.55, find: i. E(X). i. Var(X).…

A: It is given that n=6 and p=0.55.

Q: The random variable X is B(n,0.3) and E(X) =2.4. find n and the standard deviation

A: A random variable uses the binomial distribution, if it follows the conditions given below.  There…

Q: Let xbe a Bernoalli random variable with mean of 0.6. Find the var(2x) اختر احدى الدجابات None 0.9…

A: GivenLet X be a Bernoalli (p=0.6)

Q: X is a random variable that takes (-1,0,1) values with probabilities (1/8,2 / 8,5/ 8) respectively.…

A: Solution: From the given information, the probability distribution of X is

Q: A random sample of n = 25 scores is selected from a normally distributed population with u = 75 and…

A: The random variable X follows normal distribution. The sample size is 25. The population mean is 75.…

Q: If x is a binomial random variable, compute the mean, the standard deviation, and the variance for…

A: Given that the parameters of binomial random variable are n = 3 and p = 0.5

Q: Given the random variable X~Bin(10, 0.2), what is the expected value E(X)? Select one: a. None of…

A: for a random variable X~Bin(n,p) with n - no. of trials and p -probability of success the Expected…

Q: If MGF of random variable X is e*+Sr, find Prob(-1 <X<9).

A:

Q: 2. Let the mgf of a random variable X be Find P(X 1 or X 2).

A: We want to find the P(X=1 or X=2)

Q: Suppose X is a random variable with possible values 4,-4 and 2 and with respective probabilities…

A: Its a Discrete probability distribution

Q: For a random variable with the given probability distribution. 2. 3 4. fix) 0.41 0.37 0.16 0.05 0.01…

A: Given data,   P(0≤x≤2)-(P(X≥3))=?

Q: Which of the following is a random variable? (choose all that apply) (a) p-value (b) х? (c) B1 (d) ŷ…

A: A random variable is a numerical description of an outcome of a statistical experiment. A random…

Q: Let X be a random variable with a mean of 20 and variance of 4. Then E(3X2 -3 X +2) is O a. -46 O b.…

A: Answer is  (b) 1154

Q: For the following example, identifyn, p, q,X(where X is denoting the random variable)and P(__?_)…

A: We have to find the binomial probabilities.

Q: Let X be a binomial random variable with mean u = 3.6 and variance o? = 2.52, find a) Write the…

A:

Q: If the probability den sity function of a continu ous random variable X is [a+ ba² 0<x <1 f(x) :…

A:

Q: For a random variable X ~ Exp(2), find P(X < 1) and E[X].

A: Given: λ=2

Q: Let Z be a standard normal random variable. For d) - e) calculate the following probabilities: d)…

A: The objective is to find the given probabilities.

Q: If x is a random variable with Binomial distribution of n=6 and p=0.55, find: i. E(X). ii. Var(X).…

A:

Q: A sample of n = 100 scores is selected from a normal population with µ = 75 and σ = 11. The…

A: Given that: X is normally Distributed with mean µ = 75.0 and standard deviation σ = 11.0 By using…

Q: suppose x is a uniform random variable with c = 10 and d = 60. Find the probability that a randomly…

A: Uniform distribution: A continuous random variable X is said to follow Uniform distribution if the…

Q: The random variable X is related to e2. Find P(X>0.4).

A: It is given that the, The random variable X is related to e2 i.e. X ~ exp(2). We have to find P(X…

Q: Suppose that X follows a Binomial distribution, i.e., X ∼ Binomial(3, 0.5). Define a new random…

A:

Q: Let Xbe a random variable with probability distribution as shown below: -1sxs2 S(x)=3 and g(X)=4X+2…

A: Answer: None of these.

Q: Suppose X is a normal random variable with μ = 380 and 17. Find the following probabilities. (Give…

A:

Q: NBC News reported that 1 in 20 children in the U.S. has a food allergy.t Consider selecting 15…

A: From the provided information, NBC news reported that 1 in 20 children in the US has a food allergy.…

Q: Which of the following is a random variable? (choose all that apply) (a) p-value (b) x2 (c) B1 (d) ŷ…

A: Since, p-value having the nonlinear relation to the actual deviation from the mean. Therefore, the…

Q: If z is a standard normal variable, find the probability. P(z>0.68)

A:

Q: Suppose X is a normal random variable with u = 500 and o = 75. Find the value of: а. Р(Х 350) c.…

A: We are given that X is a normal random variable with μ = 500 and σ = 75.We have to find the value of…

Q: Construct random variables X, Y E L² on a common probability s ping p : R R such that E(|X – poY) <…

A: We define the probability space to be Ω=(0,1) with F the Borel sigma algebra of subsets of the unit…

Q: (i) Is X and Y are statistically independent ? (ii) Find the probability of observing random…

A:

Q: let X be a random variable with the following probability distribution: -3 6 (1) | 1/6 1/2 1/3 Find…

A: Solution-: We have following table: X f(x) -3 1/6 6 1/2 9 1/3 We find μg(X)=? Where,…

Q: I have to find the value of the standard normal random variable. P (Z &lt;= Zo) = .7054

A: Introduction:The random variable, Z conventionally denotes the standard normal variable, which has…