ur he amou of weght that mais onlegedents gan during thair freshman year are nomaly derued wth amean of 12g and a tandard deon ofe67 Cmpe parts h o 1 male cotege student in randomty selected, fnd the probabitty that he gains between o kg and 3 g during tosheman year The probabity in Round to four decmal places needed) iro male colege studerta are randonty selected, fnd the probabity that their mean weight pain during frestman yar is beten o kg and 3g he probabity i Round to four deomal places as needed) Why can the nomal distribution be used in part (b), even though he sampie se does not exceed 30 DA Bince the diatribution is of individuals, not sample means, the distritution in anomal daion for any sanple sien D Since the weht gain eoeeds 30, the detribuon of sample means is a normal dstributon for any sample sie OC Bince the original population has a nomal distribution, Phe distribution of sample means ia nomal distritution for any sample sie D. Bince the distritution is of sample meane, not individuals, the datribution anomal deritution for any sanple sie

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of 12 g and a standand devtion of e57kg Complete parts atvh i telon
A1 male college student in randomly selected, find the probabilty that he gains between O kg and 3 kg during trostman year
The probabity in
(Round to four deoimal places as needed.)
b. If o male college students are randonty selected, find the probability that their mean weight gain during frestman year is between 0 kg nd 3 g
The probability ia
(Round to four decimal places as needed)
e Why can the nomal distribution be used in part (b), even though the sampie size does not exceed 307
OA Bince the distribution is of individuals, not sampie meana, the distribution in a nomal distribution for any sample sie
OR Since the weight gain exceeds 30, the dietribuion of sample means is a normal distribution for any sample s
OC Bince the original population has a normal distribution, the distribution of sample means isa nomal disbribution for any ample size.
OD. Bince the distritution ie of sample meane, not individuals, the distribution ia normal dstribution for any sample se
Transcribed Image Text:Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of 12 g and a standand devtion of e57kg Complete parts atvh i telon A1 male college student in randomly selected, find the probabilty that he gains between O kg and 3 kg during trostman year The probabity in (Round to four deoimal places as needed.) b. If o male college students are randonty selected, find the probability that their mean weight gain during frestman year is between 0 kg nd 3 g The probability ia (Round to four decimal places as needed) e Why can the nomal distribution be used in part (b), even though the sampie size does not exceed 307 OA Bince the distribution is of individuals, not sampie meana, the distribution in a nomal distribution for any sample sie OR Since the weight gain exceeds 30, the dietribuion of sample means is a normal distribution for any sample s OC Bince the original population has a normal distribution, the distribution of sample means isa nomal disbribution for any ample size. OD. Bince the distritution ie of sample meane, not individuals, the distribution ia normal dstribution for any sample se
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