Question

A merchant's file of 20 accounts contains 6 delinquent and 14 non - delinquent accounts. An auditor randomly selects 5 of these accounts for examination: i) What is the probability that the auditor finds exactly 2-delinquent accounts? ii) Find the expected number of delinquent accounts in the sample selected.

Answer 1

Explanation:

Let denotes the probability that auditor findsexactly delinquent accounts. 1. There are ways of selecting 2 delinquenview the full answer

Answer 2

Answer: 0.352

Explanation:

Total possible ways of selecting 5 of account from 20 account is 20C5.

Among those 5 accounts there are 2 exactly delinquent account therefore other 3 accounts are non delinquent .

so the required probability=(6C2*14C3)/(20C5)=455/1292=0.352