And show your work o T-Mobile LTE 10:25AM 65%) Search Problem 1 classified ts a
ID: 3333495 • Letter: A
Question
And show your work o T-Mobile LTE 10:25AM 65%) Search Problem 1 classified ts a large corporation has their age The proporions of 30-Ove Total One employee is selected at random and two events are detined as Slows Event A: The employee sekected is mak. Event B: The employee sclcted is over 4s Find the Foliowing event probabilbies Problem 2 An auditor is preparing for a physical count of inventory as a means of verifying ts value thems counted are reconciled with a 1st prepared by Pe storeroom supervisor Normaly, 10%Of the terms courted carrot be reconciled without reviewing invoices. The audeor selects 15 rems Find the probability that less than 3 of the items cannot be reconciled a What probability distibution do we use? Bmomal Distubution b. Indicate whether the random variable is discrete or continuous 3e What is the probablity? 121 show your work below) 15Explanation / Answer
a. There are two outcomes-success (items counted cannot be reconciled without reviewing invoices), and failure (items counted can be reconciled without reviewing invoices), and probability of success, p=0.10. There are n=15 independent, random trial (items).This accounts for binomial distribution for Bernoulli trials.
b. The random variable is discrete as it takes only integer values, that is x=0, 1, 2 likewise.
c. Since, it is require dto find the probability that less than 3 items cannot be reconciled, hence, x=0, 1, 2.
d. mu=n*p=15*0.10=1.5
e. P(X<3)=P[X=0]+P[X=1]+P[X=2]=15C0(0.1)^0(1-0.1)^15+15C1(0.1)^1(1-0.1)^14+15C2(0.1)^2(1-0.1)^13=0.2059+0.3431+0.2669=0.8159 [note: P(X,x)=nCr(p)^r(1-p)^n-x, x denotes specific number of success in n trials]