jake2920
19.02.2020 •
Mathematics
Geno (the women’s basketball coach for UConn) goes to the grocery store and finds that Wheaties is placing pictures of UConn women’s basketball players inside its cereal boxes. A total of 6 players are featured, each appearing with equal probability. Find the expected number of boxes Geno needs to buy in order to obtain pictures of 3 different players. Hint: let X be the total number of cereal boxes that Geno buys and let Ni be the number of boxes that Geno buys to get the ith player after obtaining the i − 1th player. Then, X = N1 + N2 + N3. What type of random variable is each Ni?
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Ответ:
(0.30, 0.42)
Step-by-step explanation:
Given the following :
Sample proportion = 0.36
Minimum sample proportion from simulation = 0.28
Maximum sample proportion from simulation = 0.40
Therefore ;
Range = (maximum sample proportions from simulation - minimum sample proportion from simulation)
Range = 0.40 - 0.28 = 0.12
Interval estimate of true population = sample proportion ± 0.5 (range)
0.36 ± 0.5(12)
0.36 ± 0.06
(0.36 - 0.06), (0.36 + 0.06)
(0.30, 0.42)