Question

Free​ Response: You must show your work in order to get full credit. Put work in the SHOW MY WORK tab. The rate of defects among CD players of a certain brand is 17 defects per 1000 CD players. A store received 580 CD players. Answer the following​ questions:

a. What is the expected number of defected CD​ players? (Round to 2 decimal​ place)      

b. What is the probability that among 580 such CD players received by a​ store, there are exactly six defective CD​ players? Explain how you got the probability by stating the StatCrunch steps​ (in the SHOW MY​ WORK) as well as copying and pasting the probability output of StatCrunch. Round to four decimal places.

Probability​ =

Answer 1

a)

In binomial case, the expected number of defects is,

b)

The sample size of 580 CD will have a binomial distribution with parameter n and p. The distribution can be represented as;

Where, n is the sample size, k is the number of defects, p is the rate of defects,

For n = 6,

In StatCrunch:

Follow the step,

1) Stat > Calculators > Binomial.

2) Fill n = 580, p = 0.017, Prob ( X = 6) then click on Compute.