Just answer as many problem you desire A group of 20 students have been on holiday abroad and are returning to Norway. In thegroup, there are 7 who have bought too much alcohol on duty-free and none of them informsthe customs officers about it. Customs officers randomly select 5 people from these 20students for control. We let the variable X be the number of students among the 5 selectedwho have bought too much alcohol.(a) What type of probability distribution does the variable X have? Write down the formulafor the point probabilities.(b) What is the probability that none of those checked has bought too much?(c) What is the probability that at least 3 of the 5 controlled students have bought toomuch?(d) What is the expected value and standard deviation of X?(e) What is the probability that only the third person being checked has bought too much?

Here AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS here given , there are total 20 students have…

(a) What type of probability distribution does the variable X have? Write down the formula for the point probabilities. (b) What is the probability that none of those checked has bought too much? (c) What is the probability that at least 3 of the 5 controlled students have bought too much?

(a) What type of probability distribution does the variable X have? Write down the formula for the point probabilities. (b) What is the probability that none of those checked has bought too much? (c) What is the probability that at least 3 of the 5 controlled students have bought too much?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Just answer as many problem you desire

A group of 20 students have been on holiday abroad and are returning to Norway. In the
group, there are 7 who have bought too much alcohol on duty-free and none of them informs
the customs officers about it. Customs officers randomly select 5 people from these 20
students for control. We let the variable X be the number of students among the 5 selected
who have bought too much alcohol.
(a) What type of probability distribution does the variable X have? Write down the formula
for the point probabilities.
(b) What is the probability that none of those checked has bought too much?
(c) What is the probability that at least 3 of the 5 controlled students have bought too
much?
(d) What is the expected value and standard deviation of X?
(e) What is the probability that only the third person being checked has bought too much?

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