Say that the probability that a random gift you receive in League of Legends (online game) is one of the character skins you want is 0.16. Suppose you get a a gift after every game you play, and that you play until you have obtained 2 of these skins. a) What is the probability that you play 7 times without getting any character skins before you get the second desired skin? First write the notation for the pmf: X ~ Format should be an abbreviation of letters from the statistics table along with the parameter values, like XXX(#,#,#) if the random variable has a 3 letter abbreviation and 3 parameter values. For this one include any leading zeros, like 0.19 (not .19). In your work also write down the formula for the probability and be ready to write out the R code. Here, please report your probability to 5 decimal places (it might be quite small). For your work, again show the formulas and then plug in the values. 0.03277 b) What is the probability that you don't get the skins you want at most 7 times? In your work, show the R code. Please round to 5 decimal places. 10.5 c) How many gifts do you expect to get which do not have the desired skins in order to obtain 2 desired skins? For your work, please first show the formula with x, r, p and then plug in numbers. 8.10 d) What is the standard deviation of the number of gifts you'll get which do not have the desired skins? 8.10

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Say that the probability that a random gift you receive in League of Legends (online game) is one of the
character skins you want is 0.16. Suppose you get a a gift after every game you play, and that you play until
you have obtained 2 of these skins.
a) What is the probability that you play 7 times without getting any character skins before you get the
second desired skin? First write the notation for the pmf: X ~
Format should be an
abbreviation of letters from the statistics table along with the parameter values, like XXX(#,#,#) if the
random variable has a 3 letter abbreviation and 3 parameter values. For this one include any leading zeros,
like 0.19 (not .19).
In your work also write down the formula for the probability and be ready to write out the R code. Here,
please report your probability to 5 decimal places (it might be quite small). For your work, again show the
formulas and then plug in the values. 0.03277
b) What is the probability that you don't get the skins you want at most 7 times? In your work, show the R
code. Please round to 5 decimal places. 10.5
c) How many gifts do you expect to get which do not have the desired skins in order to obtain 2 desired
skins? For your work, please first show the formula with x, r, p and then plug in numbers. 8.10
d) What is the standard deviation of the number of gifts you'll get which do not have the desired skins?
8.10
Transcribed Image Text:Say that the probability that a random gift you receive in League of Legends (online game) is one of the character skins you want is 0.16. Suppose you get a a gift after every game you play, and that you play until you have obtained 2 of these skins. a) What is the probability that you play 7 times without getting any character skins before you get the second desired skin? First write the notation for the pmf: X ~ Format should be an abbreviation of letters from the statistics table along with the parameter values, like XXX(#,#,#) if the random variable has a 3 letter abbreviation and 3 parameter values. For this one include any leading zeros, like 0.19 (not .19). In your work also write down the formula for the probability and be ready to write out the R code. Here, please report your probability to 5 decimal places (it might be quite small). For your work, again show the formulas and then plug in the values. 0.03277 b) What is the probability that you don't get the skins you want at most 7 times? In your work, show the R code. Please round to 5 decimal places. 10.5 c) How many gifts do you expect to get which do not have the desired skins in order to obtain 2 desired skins? For your work, please first show the formula with x, r, p and then plug in numbers. 8.10 d) What is the standard deviation of the number of gifts you'll get which do not have the desired skins? 8.10
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