Consider the performance on the hardest hole at a given golf course. Historicall
ID: 3047143 • Letter: C
Question
Consider the performance on the hardest hole at a given golf course. Historically, golfers score below par on this hole one out of every 14 rounds of golf (success rate is 1/14 or approx. 0.0714). Use the binomial probability distribution to answer questions concerning the expected performance of the next 30 golfers
1) In cell B53, briefly explain why the Binomial Probability Distribution is a better fit for this issue than the Poisson Probability Distribution.
2) What is the expected number of times during the next 30 rounds of golf that golfers are expected to score below par on this hole? Enter calculation in cell B54.
3) What is the probability that 2 or fewer golfers in the next 30 rounds of golf score below par on this hole? Insert your own reference in the appriate cell on the answer worksheet similar to the references I included for earlier questions.
4) What is the probability that 5 or more golfers in the next 30 rounds of golf score below par on this hole? Insert your own reference in the appropriate cell on the answre worksheet.
Irsat Page Layou Fomu D RaviVi Hl Tel me what you wan to do Comma l0 Crroncy ormatting Table pboard tw Consider the pertormance on the hardest hole at given golt course. Historlcally, elters scarbelow par n this hoe ne cut ot Nerv 14 2 rounds of golf ucress rate 2/14 or approx. 0or14). Use the bromal probabiity distnbution to anwer quetions concemirg the 3 | ,pected performan the nest 30 entfer what is tho expected rumtor ct times during the next 30 rounds cr gott t nat gitersara exported to score below Far on this halo? Enter what l the prcbubilty that 2 cr fewe golfers in the next 20 rounds of golf score belwonthie hcle? Inzert your own reference in the 9 | 4, what ls the probability that 3 cr mcrc gclfors In the next 3D cunds of gor score below par or thhoie? Inoort Ycur own reference In the calrulation in ceall popr ate cel un the answre worksheet rix) 2 instructiuns | Answers | Q14 | Q2-B | ! 02 11:31 PMExplanation / Answer
Here n = 30 and p = 1/14 for the given binomial distribution.
1) In cell B53, briefly explain why the Binomial Probability Distribution is a better fit for this issue than the Poisson Probability Distribution.
Here as the binomial parameter n and p is well defined where we know the sample space defined from 0 to 30 so binomial distribution is better option here than undefined sample space poisson distribution.
2) What is the expected number of times during the next 30 rounds of golf that golfers are expected to score below par on this hole? Enter calculation in cell B54.
Expected number of times golfers expected to score below par = 30 * 1/14 = 2.143
3) What is the probability that 2 or fewer golfers in the next 30 rounds of golf score below par on this hole? Insert your own reference in the appriate cell on the answer worksheet similar to the references I included for earlier questions.
Answer : If X is the number of score below pars
Pr(X <= 2) = BIN (X < = 2 ; 30 ; 1/14) = BINOMDIST(2, 30, 1/14, True) = 0.6367
4) What is the probability that 5 or more golfers in the next 30 rounds of golf score below par on this hole? Insert your own reference in the appropriate cell on the answre worksheet.
Answer : Pr(X > = 5) = 1 - BINOMDIST (4,30, 1/14, true) = 1 - 0.9407 = 0.0593
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