a) A merchant receives a shipment of five photocopying machines, two of which are defective.He randomly selects three of the machines and checks them for faults. Let the randomvariable X be number of faulty machines in his selection. Find the probability distribution ofrandom variable X in the table form.b) Let X be the random variable with the cumulative probability distribution:0,x < 0F(x): = kx², 0≤x < 21,x ≥ 2Determine the value of k.c) Let X be the random variable with the cumulative probability distribution:F(x) = {₁ - e-²x ¦x < 0x ≥ 0Determine the expected value of X.d) The random variable X has a Poisson distribution such that P(X= 0) = P(X = 1).Calculate P(X= 2). e) A recent survey indicates that 7% of all motor bikes manufactured at Baloyi factory havedefective lights. A certain company from Polokwane buys ten motor bikes from this factory.What is the probability that at least two bikes have defective lights?

Answered: Image /qna-images/answer/ffc13dd0-af24-4ced-b507-509f3eed8e22.jpg

a) A merchant receives a shipment of five photocopying machines, two of which are defective. He randomly selects three of the machines and checks them for faults. Let the random variable X be number of faulty machines in his selection. Find the probability distribution of random variable X in the table form. b) Let X be the random variable with the cumulative probability distribution: F(x) 1 = { ²x³² x < 0 0

a) A merchant receives a shipment of five photocopying machines, two of which are defective. He randomly selects three of the machines and checks them for faults. Let the random variable X be number of faulty machines in his selection. Find the probability distribution of random variable X in the table form. b) Let X be the random variable with the cumulative probability distribution: F(x) 1 = { ²x³² x < 0 0

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

See similar textbooks