Question

Despite a series of quality checks by a company that makes television sets, there is a probability of 0.07% that a newly purchased television set does not work properly. If the company sells 250,000 television sets per year, estimate the probability that there will be less than 200 unsatisfied customers in a given year. Compare this value to the exact probability as calculated using a binomial cdf.

Answer 1

Answer:

Step-by-step explanation:

Given that despite a series of quality checks by a company that makes television sets, there is a probability of 0.07% that a newly purchased television set does not work properly.

Mean of X = np = 175

Var = np(1-p) = 174.8775

Std dev = 13.224

X is N(175, 13.224(

With continuity correction required prob

= P(X<200) = P(X<200.5)

= 0.973091

Using binomial

P(X<200) = 0.9659