HW5 DUE OCTOBER 25TH 1. (1 point for each subproblem) Here we give examples to c
ID: 3328507 • Letter: H
Question
HW5 DUE OCTOBER 25TH 1. (1 point for each subproblem) Here we give examples to compare a binomial to a hypergeometric distribution. For the hypergeometric, P(X = i) = (m) (tm) - where N is the total population size, m is the number of tagged items, and n is the number of sampled items. In all cases below, the sample size is fixed at n = 8, and the number of successes (the number of tagged items in the sample), is 6, which is 75% of the sample. (a) Let Y be binomial with n = 8 and p = .75. Find P(Y-6). (b) Let X be hypergeometric with N-8, m/N = .75, and n = 8. Find P(X 6) (c) Let X be hypergeometric with N = 12, m/N = .75 and n = 8, Find P(X = 6). (d) Let X be hypergeometric with N-24, m/N = .75 and n = 8. Find P(X = 6) (e) Let X be hypergeometric with N = 100, m/N .75 and n = 8, Find P(X = 6) (f) Let X be hypergeometric with N = 1000, m/N-75 and n-8. Find P(X-6).Explanation / Answer
Ans:
a)P(Y=6)=BINOMDIST(6,8,0.75,FALSE)=0.3115
b)m=0.75*8=6
HYPGEOMDIST(6,8,6,8)=1
c)m=12*0.75=9
HYPGEOMDIST(6,8,9,12)=0.5091
d)m=24*0.75=18
HYPGEOMDIST(6,8,18,24)=0.3786
e)m=75
HYPGEOMDIST(6,8,75,100)=0.3246
f)m=750
HYPGEOMDIST(6,8,750,1000)=0.3127
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