number 10 The proportion of beopie Os o e and it has the following pdf 2(x 3) 0;

Question

number 10

The proportion of beopie Os o e and it has the following pdf 2(x 3) 0; Elsewhere Find the probability that less than 10% of the people will dine out this year. 10. A group of Martial Arts students is planning on participating in an upcoming demonstration. Six are students of Tae Kwon Do; seven are students of Shotokan Karate. Suppose that five students are randomly picked to be in a demonstration Let Y denote the number of Shotokan Karate students in that demonstration (a) Give the support of Y. (b) Decide the probability distribution (and its parameter/s) of the random variable Y. 11. A cookie company claims that its main production line is set up so that every bag of cookies contains, on average, 9 cookies. Let X denote the number of cookies in 3 bags of cookies. (a) Give the sample space of X. (b) Decide the probability distribution (and its parameter/s) of the random variable X. 12. Penny thinks that the amount of tip she gets per day is about $20, on average, but since there are some days when she gets no tip at all she claims the variance

Explanation / Answer

a) here as total 5 students are picked and both groups have more then 5 therefore support of

Y : {0,1,2,3,4,5}

b) as students are randomely picked without replacement it follows Hypergeometric distribution>

here Paramter : N =total number of students =6+7=13

n =total students picked =5

and k=students in Shotokan karate =7

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