If X is a binomial random variable, for what value ofθ is the probability b(x; n, θ ) a maximum?

Q: Which of the following is true for the probability of a discrete random variable x? A) Р(х) 1 С)…

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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: Consider the following joint probability distribution of random variables X and Y f(x, y) = (3x –…

A:

Q: Let X be a discrete random variable with probability distributio P(x) = c (1/3) *, x= 0, 1, 2, ..

A: X will consider discrete probability distribution if:

Q: Suppose X and Y are jointly continuous random variables, the conditional expectation of u(x), given…

A: The conditional expectation of u(x) given y is:

Q: 2. Consider the probability distribution on the next slide and prove that:. a. E (; x) = ¿E(X) b. V…

A: The expected value which is also known as the expectation or the mean value is denoted by E(X). It…

Q: Assuming that X is a binomial random variable with n=20 and p=0.30, what is Pr(X=6)?

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Q: Let X be a binomial random variable with parameter n and p. Show that E 1- (1– P)"+1 (n + 1)p Lx +…

A: there are various method we can use to prove by definition of expectation probability generating…

Q: Let X be a random variable with p.d.f. 0<x<0 S(x) = • ,find E(e3) O.w

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: 9- If E denotes the expectation the variance of a random variable X is denoted as? a) O E(X2) b) O…

A: Expected value = E(X)

Q: *The probability function of X random variable is given as, f(x) = cx² , Dx ={-2,2,3} 1.c =? 2. P(0…

A: To find the value of c we will use the fact that the summation of f(x) over entire range is always…

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

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

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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 discrete random variable X has the following probability distribution function. 1 3 4 P(X = x)…

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Q: Suppose that the cumulative distribution function of the random variable X: [o F(x) = {0.25x + 0.5…

A: Solution

Q: Let X be a binomial random variable with n=7 and p=0.1, then The variance of X is 0.63 P(X>1)=…

A: Given: n=7 and p=0.1 Then, the variance isVariance=np1-p=70.11-0.1=70.10.9=0.63

Q: Suppose that X is an exponentially distributed random variable with A = 0.75. Find each of the…

A:

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: If X is a random variable with Binomial distribution of n=35 and p=0.45, find: i. E(X) ii. Var(X)…

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Q: Suppose that X is an exponentially distributed random variable with A = 0.63. Find each of the…

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Q: Suppose x has an exponential distribution with 0 = 2.5. Find the following probabilities: a. P(x 5)…

A: Given X~ Exponential distribution with θ=2.5 we have to find  P(X≤4)P(X&gt;5)P(X≤2)P(X&gt;3)

Q: Let X be a random variable with p.d.f. 3e-3x f(x) = { 0 <x<00 , find E(x) O.w

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: For a random variable X, suppose that E[X]=4 and Var(X)=7. Then (a) E[(5+X)2]=  (b) Var(2+6X)=…

A: Given that, E(X) =4 Var(X) =7

Q: Given the distribution function x < 0 1 0<x < 2 F (x) = 2 < x < 5 1 r25 of the random variable X.…

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Q: If X is a continuous random variable that takes on values between 10 and 40, then the P(X = 15.5) =…

A: We have given that  X is a continuous random variable that takes on values between 10 and 40, then…

Q: If X is a random variable with Binomial distribution of n=35 and p=0.45, find:    i. E(X) ii.…

A:

Q: Let X be a random variable with p.d.f. 3k e 4 0<x<∞ f(x) =- find k. O.W

A: given p.d.f. is                                                     f(x)=3ke-14x   ; 0&lt;x&lt;∞0…

Q: If X is A discrete random variable and f(x) is the probability of X, then the expected value of this…

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Q: Let X be a random variable with p.d.f. 2e-2x f(x)=< 0<x<0 , find E(e2") O.w

A: Let  X be a random variable with the pdf  fx=2e-2x                 0&lt;x&lt;∞0…

Q: If the probability function of the random variable x is defined as x-N(20,25), what is the standard…

A: We have to find correct answer..

Q: Assuming that X is a binomial random variable with n = 4 and p = 0.8, find the probability for each…

A: Givenn=4p=0.8x~Binomial(n=4,p=0.8)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,..,n

Q: Let X be a random variable with probability distribution as shown below: 25 2 <x< 10 f(x) = {3x and…

A: The E(g(X)) is calculated as E(g(X)) = E(10X + 5) = 10E(X) + 5

Q: Let X and Y be two independent exponential random variables. X ~

A: Given,  X and Y be two independent exponential random variables.                       X~exp(1) and…

Q: If X and Y are both random variables with a joint probability distribution: Se-(z + y), r > 0, y >…

A:

Q: B/ Let Y denotes a random variable having a negative binomial distribution, with p=(2*G/10) . Find…

A: Negative Binomial Distribution: If we have a sequence of trials each having two outcomes, say…

Q: The PDF of random variable W is c(w + 5), -5 <w < 7 fw (w) %| 0, otherwise

A: Given,f(w)=c(w+5);  -5≤w≤70;  otherwise

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: E[(1 – p)*] = (1 – p?y: %3D

A: Let a random experiment be performed repeatedly, each repetition is called a trial. let the…

Q: In a certain city the daily consumption of water (inmillions of liters) is a random variable whose…

A: fxx={ 19xe.-x3,x&gt;0            0,0.wa) Px≤6=∫-∞6fxxdx                = ∫-∞00dx+∫0619xe-x3dx…

Q: The cumulative probabilities for a continuous random variable X are P (X 10) b. РХ» 20) c. P(10 < X<…

A:

Q: Let X be a random variable with probability distribution as shown below: 25 2 < x < 10 f(x) = }3x3…

A: The E(g(X)) is calculated as E(g(X)) = E(5X) = 5.E(X)

Q: If X is Binomial random variable with mean u = 2 and standard deviation o = 1. Find P(X > 1) %3D 15…

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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: The cdf of a random variable is given by (1— х)2 F,(x) = 0 1/3}, B = {|X| > 1} C= {|X – 1/31 < 1}, D…

A:

Q: . Xand Y are random variables, and f(') is the corresponding probability function. Which of the…

A: We need to use the concept of correlation and verify options.

Q: If X has a binomial distribution with n = 3 and θ = 13 , find the probability distributions of(a) Y…

A:

Q: Let xbe a binomial random variable with a variance of 0.48, q = 0.6 and n=2. Find E(2x-3) اختر احدى…

A: x~binomial(n,p,q)where n=2  ,  q=0.6  variance=0.48           npq=0.48(2)(p)(0.6)=0.48 ⇒ p=0.4and…

Q: X 1 2 expecta ctation fo P(x) 0.23 0.41 0.19 0.17 3 4 OA) 1.0 O this probability distribution?

A: x P(X) X*P(X) 1 0.23 0.23 2 0.41 0.82 3 0.19 0.57 4 0.17 0.68

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.