Mode and Median probability statistics homework help

read the case and answer the question
February 23, 2021
Operations Consulting Proposal
February 23, 2021

Mode and Median probability statistics homework help

1. Read the webpage, https://en.wikipedia.org/wiki/Binomial_distribution , down to the section, Mode and Median.  Read thoroughly the example about the biased coin that comes up heads with probability of 0.3.  This variable can be described as, X~Bi(n=6, p=0.3).  Use this example to answer the following questions.

a. What is the expected value of this variable? 

b. What is the expected number of heads if this coin is tossed 6 times?  Same answer as in part 2.a. but in different words.

c. What is the probability that the number of heads out of 6 tosses of this unfair coin is less than 2?

d. What is the probability that the number of heads out of 6 tosses of this unfair coin is more than 2?

e. What is the probability that the number of heads out of 6 tosses of this unfair coin is at least 2?

f. What is the probability that the number of heads out of 6 tosses of this unfair coin is at most 2?

2. 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?

 

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