Approximately 1% of all USPS package deliveries are lost.You select 10 package deliveries at random.If you use the binomial probability function to compute the probability that none of the packages is lost, the value of the binomial coefficient in your computation is
A).9900
B).0100
C)10.00
D).9044
E)1.00

Question

Quizplus · Accepted Answer

The binomial coefficient for computing the probability that none of the packages is lost in 10 trials (n=10) with each trial having two possible outcomes (lost or not lost) is given by "n choose k" where n is the number of trials and k is the number of successful outcomes we are interested in. Here, we are interested in the scenario where none of the packages are lost, so k=0. The binomial coefficient for "10 choose 0" is calculated as 10! / (0! * (10-0)!) = 1. Therefore, the correct answer is 10.00, which is a misunderstanding in the representation. The correct interpretation should be that the binomial coefficient represents the number of ways to choose 0 successes (or failures) out of 10, which is indeed 1, aligning with choice E.

Approximately 1% of All USPS Package Deliveries Are Lost