A slate lottery randomly chooses 6 balls numbered from 1 through 37 without repl

Question

A slate lottery randomly chooses 6 balls numbered from 1 through 37 without replacement You choose 6 numbers and purchase a lottery ticket the random variable represents the number of matches on your ticket to the numbers drawn in the lottery Determine whether this experiment is binomial If so, identify a success specify) the values n. p. and q and list the possible values of the random variable x Is the experiment binomial? Yes. there are a fixed number of trials and the trials ate independent of each other No because the probability of success is different for each trial Yes. the probability of success is the same lot each trial No there are more than two outcomes lord each trial identity a success Choose the correct answer below A Success Is matching one of the numbers in the lottery A success Is matching all of the numbers In the lottery A success is the number of matches on your ticket to the numbers drawn in the lottery The experiment is not binomial Specify the values in p and q Select the. correct choice. below and if necessary fill in the answer box to complete your choice

Explanation / Answer

the experiment is binomial

since probability of success is same for each trial

The success is

Matching one of the numbers in the lottery

Here the random variable ( number of matches ) takes the values 0,1,2,3,4,5,6

Here n = 6

p ( probability of success) = 1/38

q = 37/38

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