Let X be a discrete random variable with support S = { 1, 2, 3 }. Let the probability mass function be: x, if x €S 14 f(x) o, if x g s Compute the expected value.
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![Let X be a discrete random variable with support S = { 1, 2, 3 }.
Let the probability mass function be:
x, if x ES
14
f(x)
0, if xes
Compute the expected value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76583813-48d4-4613-ab7b-31111c1567ff%2F04f524fa-7d0d-437c-9a90-a2198072d0db%2F9pj2y38_processed.jpeg&w=3840&q=75)
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- Let X denote a random variable having a distribution. If F(x)=ax³ where 0≤x≤(+3). Find f(x) after getting the constant value (a) and find the probability P(2The probability density function for the continuous random variable X is given by: (А(х? — 2х + 21) 0let x be a discrete random variable with probability function p(x)= cx/20 for x = 2,3,4,5,6,8,12 what is the value of c that makes p(x) a valid probability function?A shop receives a shipment of 1000 lamps. The probability that any individual lamp is defective is 0.2%. Assume the defectiveness is independent of cach lamp. Let X be the number of defective lamps in the batch of 1000. What is the probability mass function of X? O P(X = k) = (00) 0.002* (1 – 0.002)1000 , k = 0,1, 2, ..., 1000 O P(X = k) = 0.002* (1 – 0.002)1000–&, k = 0, 1, 2, .….., 1000 O P(X = k) = (1000) 0.002* (1 – 0.002)1000 , k = 1, 2, ..., 1000 O P(X = k) = (00)0.002100- (1 – 0.002)*, k = 0, 1, 2, ..., 1000Let X be a random variable with probability density function f(x) = x/8, where x = 1, 2 and 5; 0, otherwise. Find the expected value of x.Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON