3. An Internal Revenue Service inspector is to select 3 corporations from a list of 15 for tax audit purposes. Of the 15 corporations, 6 earned profits and 9 incurred losses during the year for which the tax returns are to be audited. If the IRS inspector decides to select 3 corporations randomly, then a) Write down the appropriate probability distribution with its parameters. b) What is the probability that the number of corporations in these 3 that incurred losses during the year for which the tax returns are to be audited is at least 2? c) calculate are the mean and variance of this distribution? A washing machine in a laundromat breaks down an average of three times per month.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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3. An Internal Revenue Service inspector is to select 3 corporations from a list of 15 for tax audit
purposes. Of the 15 corporations, 6 earned profits and 9 incurred losses during the year for which
the tax returns are to be audited. If the IRS inspector decides to select 3 corporations randomly,
then
a) Write down the appropriate probability distribution with its parameters.
b) What is the probability that the number of corporations in these 3 that incurred losses
during the year for which the tax returns are to be audited is at least 2?
c) calculate are the mean and variance of this distribution?
4. A washing machine in a laundromat breaks down an average of three times per month.
Transcribed Image Text:3. An Internal Revenue Service inspector is to select 3 corporations from a list of 15 for tax audit purposes. Of the 15 corporations, 6 earned profits and 9 incurred losses during the year for which the tax returns are to be audited. If the IRS inspector decides to select 3 corporations randomly, then a) Write down the appropriate probability distribution with its parameters. b) What is the probability that the number of corporations in these 3 that incurred losses during the year for which the tax returns are to be audited is at least 2? c) calculate are the mean and variance of this distribution? 4. A washing machine in a laundromat breaks down an average of three times per month.
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  1. Express House Delivery Service provides high quality service to customers. The company guarantees a refund of all charges if a package it is delivering does not arrive at its destination by the specified time. It is known from past data that despite all efforts, 2% of the packages mailed through this company do not arrive at their destinations within the specified time. Suppose a corporation mails 10 packages through Express House Delivery Service on a certain day.
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