There are several scenarios described below. For each of them, do the following (note: R.V. means...

There are several scenarios described below. For each of them, do the following (note: R.V. means random variable) (1) Define the R.V.--- that means something like, “Let X be the number of people who…..” (2) Define the distribution and parameter(s) of the R.V. (3) Give the support of the R.V. (4) Write the probability statement related to the information being sought. Do not calculate the probability.

a) Joe is debugging a coding project. From prior experience, he expects to find a bug in every 25 lines of code and each bug occurs independently of other bugs. What is the probability that it takes more than 30 lines of code until Joe finds his first bug?

b) Joe has examined 500 lines of code and has identified several bugs. What is the probability that the next line that Joe examines contains another bug?

c) Joe will keep working until he has identified 15 bugs. What is the probability that Joe examines exactly 400 lines of code before Joe takes a break?

d) The current project Joe is debugging contains 1200 lines of code. Determine the probability that he finds more than 52 bugs in the project.

e) A previous project is currently running live and will continue to run until it runs into a serious error. A serious error occurs on average once every 90 days. Determine the probability of observing at least 3 serious errors in an eight-month period (assume 30 days in a month and that the project restarts immediately).

f) After a long day of debugging Joe decides to have a few beers at his local brewery. The brewery has 15 different beers on tap, 13 of which have alcohol content less than 7%. If Joe decides to randomly have four different beers find the probability that 3 of the beers have alcohol content less than 7%.

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Expert Solution

orchestra answered 2 years ago

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