A company manufactures an appliance,gives a warranty and 95% of its appliances do not require repair before the warranty expires.If an organization buys 10 of these appliances,calculate an interval that contains 95.44% of all the appliances that won't require repair.
A)[8.12 10.88]
B)[7.43 11.57]
C)[8.81 10.19]
D)[8.55 10.45]

Question

Quizplus · Accepted Answer

The problem involves a binomial distribution with n=10 and p=0.95. The mean is np=9.5 and the standard deviation is sqrt(np(1-p))=0.689. Using the normal approximation, the interval for 95.44% (approximately 2 standard deviations) is [9.5-2*0.689, 9.5+2*0.689] = [8.12, 10.88].

A Company Manufactures an Appliance,gives a Warranty and 95% of Its