Week 5

Bernoulli, Binomial, Geometric, Poisson, and Other Discrete Random Variables

Work with the named discrete probability models introduced together in the course schedule.

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Questions

Question 1 of 7 · Intro
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Bernoulli Check-In Mean
$Let X equal 1 when a participant checks in before noon and 0 otherwise. If the probability of checking in before noon is 0.72, what is E[X]?$
Question 2 of 7 · Intro
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Bernoulli Open Variance
$Let X equal 1 when a notification is opened and 0 otherwise. If P(X = 1) = 0.25, what is Var(X)?$
Question 3 of 7 · Intro
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First Booking on Call Two
$Independent calls produce a booking with probability 0.25. What is the probability that the first booking occurs on the 2nd call?$
Question 4 of 7 · Intro
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Negative Binomial Probability – Tenth Success on the Fortieth Roll
$A four-sided die is rolled repeatedly. A success is when the die shows a 1. What is the probability that the tenth success occurs in the fortieth attempt?$
Question 5 of 7 · Intro
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One Featured Book
$A shelf contains 6 featured books and 9 other books. Three books are selected without replacement. What is the probability that exactly 1 selected book is featured?$
Question 6 of 7 · Intro
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One Repair per Day
$Repair calls per day follow a Poisson distribution with mean 1.2. What is the probability of exactly 1 repair call in a day?$
Question 7 of 7 · Core
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Exactly Five Daily Goals
$Seven independent daily goals are each completed with probability 0.7. What is the probability that exactly 5 goals are completed?$