Question

3) SupposexxX () is a random sample from Bernoulli distribution wi Qwestlon pmL p(x) = p, (l-p)'-. , x-0,1, . then follows ( ). ndividual was cie ANormal distribution N(np,np(a-p) D Binomial distribution Bin.p) Dean not be determined. Poisson distribution P(np) (1). Fimd a,suc (2) Write out d uppose X~NCO,1) and Y-NC2.4), they are independent, then is incorrect. expected am X + Y-N(2, 5) X-Y-N(-2,5) ⓝPCY < 2) > 0.5 DVarx) Vary is a random sample from N(H, let x 5) Suppose x x,x, A. ("»D is a randonn sample from N(μ.σ2), let then Varx)- o" In Instruction: The following questions need you show all your work in details. Question 3. (5 points) A machine produces defective parts with three different probabilities depending on its state of repair. If the machine is in good working order, it produces defective parts with probability 0.02. If it is wearing down, it produces defective parts with probability 0.1. If it needs maintenance, it produces defective parts with probability 0.3. The probability that the machine is in good working order is 0.8, the probability that it is wearing down is 0 .1, and the probability that it needs maintenance is 0.1. Compute the probability that a randomly selected part will be defective.

Answer 1