Select the instances in which the variable described is binomial. 1) A coin flip

Question

Select the instances in which the variable described is binomial.

1) A coin flip has two outcomes: heads or tails. The probability of each outcome is 0.50. The random variable represents the total number of flips required to get tails.

2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.

3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.

4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.

5) The probability of drawing a king in a standard deck of cards is 0.08. Seven cards are drawn without replacement. The random variable represents the total number of king cards observed.

select all that apply.

Explanation / Answer

here option 1 is not binomial as number of trails are not fixed and option 5 is not binomial as probability of drawing a king does change with each other cards.

rest of the options are suitable for binomial distribution

therefore options 2 ,3,4 are from binomial distribution

please revert .

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