A company installs new central-heating furnaces and has found that for 22% of all installations, a return visit is needed to make some modifications. Six installations were made in a particular week. Assume independence of outcomes for these installations. Complete parts a. through c. below. a. What is the probability that a return visit will be needed in all these cases?

The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a​ student's alarm clock has a 5.6​% daily failure rate. Complete parts​ (a) through​ (d) below. a. What is the probability that the​ student's alarm clock will not work on the morning of an important final​ exam?     b. If the student has two such alarm​ clocks, what is the probability that they both fail on the morning of an important final​ exam?     c. What is the probability of not being awakened if the student uses three independent alarm​ clocks?     d. Do the second and third alarm clocks result in greatly improved​ reliability?     A. ​No, because the malfunction of both is equally or more likely than the malfunction of one.   B. ​No, because total malfunction would still not be unlikely.   C. ​Yes, because total malfunction would not be​ impossible, but it would be unlikely.   D. ​Yes, because you can always be certain that at…

I need help with this problem.

A study by a reputable research organization found that when presented with prints from the same​ individual, a fingerprint expert will correctly identify the match 91​% of the time. In​ contrast, a novice will correctly identify the match 77​% of the time. Consider a sample of seven different pairs of​ fingerprints, where each pair is a match. Complete parts a and b below.         a. What is the probability that an expert will correctly identify the match in all seven pairs of​ fingerprints?   The probability is enter your response here. ​(Round to four decimal places as​ needed.)   b. What is the probability that a novice will correctly identify the match in all seven pairs of​ fingerprints?   The probability is enter your response here. ​(Round to four decimal places as​ needed.)