SOLUTION: a certain type are defective. Let the random variable X represent the number of defective Smart TVs, of the same brand, in a shipment. Suppose you wish to find the probability tha

Algebra ->  Probability-and-statistics -> SOLUTION: a certain type are defective. Let the random variable X represent the number of defective Smart TVs, of the same brand, in a shipment. Suppose you wish to find the probability tha      Log On


   

Question 910743: a certain type are defective. Let the random variable X represent the number of defective Smart TVs, of the same brand, in a shipment. Suppose you wish to find the probability that X = 8. Does the random variable have a binomial or poisson distribution. how can you tell. If X is binomial distribution, would it be reasonable to use the poisson approximation? If not, why not? solve the problem to arrive at answer for P(X=8)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
A Poisson experiment examines the number of times an event occurs during a specified interval.
What is a binomial experiment?
A binomial experiment has the following characteristics:
◾ The experiment involves repeated trials.
◾ Each trial has only two possible outcomes - a success or a failure. (def, not def
◾ The probability that a particular outcome will occur on any given trial is constant.
◾ All of the trials in the experiment are independent.
Using P+%288%29=+highlight_green%28nC8%29%28p%5E8%29%28q%29%5E%28n-8%29+
p and q are the probabilities of def and not def respectively.
n = how many shipped
nCx+=+%28n%21%29%2Fx%21%28n+-+x%29%21%29