a. Verify that f(x) is a valid probability mass function.b. Find the probability that the shuttle will be able to accommodate all ticketed people that show up.c. Say you are the 1st person on the wait list to get on the shuttle (that is to say if less than 4 people with tickets show up, you get a seat). What is the probability that you will be able to board the shuttle? 1. Say there is a shuttle that has 4 seats (it can carry only 4 passengers at most). The shuttledriver has sold 5 tickets to ride the shuttle (to 5 people). Define X to be the random variable ofthe number of people with tickets that show up to ride the shuttle. The probability mass function(pmf) of X is as follows:XP(X = X =XOLf(x)020.1 0.2 0.23 4 50.30.1 0.1

Here given Probability mass function of No of people with tickets that show up to ride the shuttle.

Answered: the number of people with tickets that…

the number of people with tickets that show up to ride the shuttle. The probability mass function (pmf) of X is as follows: IC

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 6CR

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Question

a. Verify that f(x) is a valid probability mass function.

b. Find the probability that the shuttle will be able to accommodate all ticketed people that show up.

c. Say you are the 1st person on the wait list to get on the shuttle (that is to say if less than 4 people with tickets show up, you get a seat). What is the probability that you will be able to board the shuttle?

1. Say there is a shuttle that has 4 seats (it can carry only 4 passengers at most). The shuttle
driver has sold 5 tickets to ride the shuttle (to 5 people). Define X to be the random variable of
the number of people with tickets that show up to ride the shuttle. The probability mass function
(pmf) of X is as follows:
X
P(X = X =
XOL
f(x)
0
2
0.1 0.2 0.2
3 4 5
0.3
0.1 0.1

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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