What is the expected number of audits that will identify accounting errors, statistics homework help

What is the expected number of audits that will identify accounting errors, statistics homework help

1.  Assume that 25% of all accounting audits identify an accounting error and that 8 audits were completed.  The variable of interest is the number of audits that identify an accounting error out of the 8 audits.  The distribution of this variable is described as X~Bi(n=8, p=0.25).  Use this information to answer the questions below.  Use this online calculator, if you want:  http://stattrek.com/online-calculator/binomial.aspx

a.  What is the expected number of audits that will identify accounting errors?

b.  What is the probability of 2 or more accounting errors being identified in the 8 audits?

c.  What is the probability of 3 or more accounting errors being identified in the 8 audits?

d.  What is the probability of 4 or more accounting errors being identified in the 8 audits?

e.  What is the probability of 5 or more accounting errors being identified in the 8 audits?

f.  What is the probability of 6 or more accounting errors being identified in the 8 audits?

g.  What is the probability of 7 or more accounting errors being identified in the 8 audits?

h.  What is the probability of 8 or more accounting errors being identified in the 8 audits?