Select the instances in which the variable described is binomial.

(A) 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.
(B) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.36 probability of having lactose intolerance. The random variable represents the total number of children from this pair of parents with lactose intolerance.
(C) 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.
(D) 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.
(E) 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.

(B) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.36 probability of having lactose intolerance. The random variable represents the total number of children from this pair of parents with lactose intolerance.

True we have a binomial variable since we have a value of n defined n =6 and a probability of success 0.36 with the the condition of success and failure.

(C) 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.

True we have a binomial variable since we have a value of n defined n =254 and a probability of success 1/2 since we have just two possible options, and we satisfy the condition of success and failure.

(E) 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.

True we have a binomial variable since we have a value of n for the experiment and a probability of success 1/2 since we have just two possible options, and we satisfy the condition of success and failure.

Step-by-step explanation:

Let's analyze one by one the possible options:

(A) 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.

False, for this case we don't have a binomial variable because the outcome is not under the criteria of success or failure of an event because we can have more than two criteria to classify the product, and we don't have a probability defined for the success or failure.

(B) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.36 probability of having lactose intolerance. The random variable represents the total number of children from this pair of parents with lactose intolerance.

True we have a binomial variable since we have a value of n defined n =6 and a probability of success 0.36 with the the condition of success and failure.

(C) 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.

True we have a binomial variable since we have a value of n defined n =254 and a probability of success 1/2 since we have just two possible options, and we satisfy the condition of success and failure.

(D) 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.

False since the experiment is without replacelente each time that we select a king the probability of select another king is not the same and for this reason we can't have a binomial experiment.

(E) 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.

True we have a binomial variable since we have a value of n for the experiment and a probability of success 1/2 since we have just two possible options, and we satisfy the condition of success and failure.

examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality

step-by-step explanation: