3 The probability of a copying machine malfunction in any gi

3) The probability of a copying machine malfunction in any given week is .4. What is the probability of a machine malfunction during exactly 4 of the next 8 weeks? If you must pay a flat fee of $50 for a service contract of 8 weeks plus $20 for each week that requires repair. On the average how much do you expect to pay for the next 8 weeks?(Give single value).

4) Use Chebysheff’s inequality to give the likely (P() = .75) amount you will spend on service.

Solution

probability of copying machine malfunction in any week is 0.4

probability that it wont malfunction is 1-0.4 = 0.6

probability that it will fall exactly 4 week malfunction in 8 week = 8C4*(0.4)^4*(0.6)^4 = 0.232

AS IT FALL 0.4 IN ONE WEEK SOM IN 8 WEEK IT WILL BE 0.4*8 = 3.2

SO THE AVERAGE COST WILL BE 3.2*20+50 = 64+50 = 114