SOLUTION: 12. First class mail is delivered within two days 95% of the time. Six letters are randomly sent to different locations. a. What is the probability that all 6 arrive within 2 day

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Question 393925: 12. First class mail is delivered within two days 95% of the time. Six letters are randomly sent to different locations.
a. What is the probability that all 6 arrive within 2 days?
b. What is the probability that exactly 5 arrive within 2 days?
c. What is the mean number of letters that will arrive within 2 days?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
a. %280.95%29%5E6++=0.735, to three decimal places.
b. 6C5%2A%280.95%29%5E5%2A%280.05%29%5E1+=+0.2321, to 4 decimal places.
c. mu+=++n%2Ap+=+6%2A%280.95%29+=+5.7 letters