(B) If X is a binomial random variable with parameters n= 12 and p-0.5, answer following 1- Sketch the probability mass function of the distribution. 2-Find Skewness coefficients and check if the distribution is symmetrical or skewed to the right or left. 3- Find kurtosis coefficients, Check if the distribution is mesokurtic, leptokurtic or platykurtic. 4- Find the probability of getting at least eight (8) dots. 5- Find the probability P(2

Q: X is a binomially distributed random variable with n= 10 and p= 0.25 Find the mean and variance…

A: Answer: From the given data, X follows binomial distribution, sample size (n) = 10 P = 0.25  and q =…

Q: The number of sales in a day for a small company is a gamma random variable that has a distribution…

A: Introduction: The random variable, X representing the number of sales for a small company in a day,…

Q: At a factory that produces pistons for cars, Machine 1 produced 486 satisfactory pistons and 414…

A: Machine 1: 486(satisfactory)+414(unsatisfactory)=900Machine 2:…

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Q: A random variable Y follows a binomial random distribution with parameters n=17 and p=0.9. Find…

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

Q: Find the probability of event {X ≤5.5} for a Gaussian random variable having #x Ox=2. = 3 and

A:

Q: Find the distribution function of the random variablethat has the probability distribution f(x) =…

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Q: random variable X with mean value 2 km and o, = 0.25 higher than 2.5 km.

A: Solution

Q: Let X be a binomial random variable with mean u = 2.2 and %3D variance o = 1,76, find %3D a) Write…

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Q: The Random Variable X counts the number of students who passed a test in a class of 18 students. If…

A: Solution-: Given: n=18,p=0.457 We want to find P(X=2)=?

Q: The variable X denotes a binomial random variable with parameters n and p. Indicate which area under…

A: given data x is binomial distribution with parameter n and p . under normal approximation which area…

Q: An irregular die with six faces produces scores, X , for which the probability distribution is given…

A:

Q: because all airline passengers do not show up their reserved seat, an airline sells n = 125 tickets…

A: Let X be the random variable representing the number of passengers, out of 125, showing up to board…

Q: Suppose that the number of accidents occurring on a highway each day is a Poisson  random variable…

A: Givenλ=3.1 for each dayLet "x" be the no.of accidents occur in a dayx~Poisson(λ=3.1)P(X=x)=e-λ×λxx!…

Q: Let X be a random variable representing the number of times that you have to roll two dice until you…

A: Here, the given context follows negative binomial distribution with k = 10 and p = 118 (probability…

Q: X is a binomial random variable with parameter n=6 and p30.52. What is the probability P(3sX<5)?…

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Q: For each characteristic, decide whether the random variable is continuous or discrete. (a) The…

A: The question is about random variables.Introduction :Discrete random variable :A random variable…

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 the random variable ?takes the values 1, 2, 3, 4 such that 3P(X=1)= 4P(X=2 )= P(X=3) = 5P(X=4).…

A: It is given that, 3P(X=1)= 4P(X=2 )= P(X=3) = 5P(X=4)

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: If X~B(6, 0.8); that is, if the random variable X has a binomial distribution with n = 6 and p =…

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

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Q: The PDF of the random variable XX is given below (1st figure). Suppose you have a random variable Y,…

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Q: Let the random variable X follows binomial distribution with parameters 14 and 5/12.

A: given information: n=14 p=5/12=0.41666 we wants to calculate P( X≥2)  P(X≥2 )=∑i=214nCxi *pxi…

Q: 3 coins flipped simultaneously. We take observed number of tails as a random variable (r.v.) X. This…

A: Here n= 3 p= 1/2  So q=1-p= 1-1/2 = 1/2 P.d.f of binomial distribution, p(x)= nCx px qn-x

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Q: If X~B(15, 0.6); that is, if the random variable X has a binomial distribution with n = 15 and p =…

A: Given data: If X~B(15, 0.6);  if the random variable X has a binomial distribution with n = 15 and p…

Q: he time it takes me to wash the dishes is uniformly distributed between 9 minutes and 18 minutes.…

A: We have to find given probability.

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: The probability distribution of the binomial random variable X is 3-x b(x;n,p) = (²) (¹) * (-²) ³**.…

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Q: Find the mean the of the probability distribution of the random variable if P(X) = x-3/15 for X= 7,8…

A: Formula : μ = E(x) = Σx * p(x)

Q: Assume the flying height of an airplane is a Gaussian Random variable X with ax = 5000 m and ay-2000…

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Q: Q2: Random VariablesThe number of thousands of miles, X, a car can be driven before it breaks down…

A: Consider X a is random variable defined as a car which can be driven the number of thousands of…