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erma4kov [3.2K]
3 years ago
13

Select the instances in which the variable described is binomial.

Mathematics
1 answer:
Nuetrik [128]3 years ago
3 0

Answer:

(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.

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The measures of central tendency for this data set are as follows:

  1. Mean = 3.55.
  2. Median = 3.5.
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<h3>How to calculate measures of central tendency?</h3>

In Mathematics, there are three (3) main measures of central tendency and these include the following:

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For the mean, we have:

Mathematically, the mean for this data set would be calculated by using this formula:

Mean = [F(x)]/n

For the total number of data, we have:

F(x) = 0 + 1 + 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7

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Substituting the parameters into the formula, we have:

Mean = [F(x)]/n

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For the median, we have:

First of all, we would order the data from lowest to highest and then determine the median as follows:

Data = {0, 1, 1, 1, 2, 2, 3, 3, 3,} 3, 4, {4, 4, 5, 5, 5, 6, 6, 6, 7}

Median = {3 + 4}/2

Median = 7/2

Median = 3.5.

<h3>How to calculate the mode?</h3>

A mode refers to the most frequently occurring number in a data set. Thus, the mode for this data set is equal to 3.

In conclusion, a box plot of the measures of central tendency for this data set is shown in the image attached below.

Read more on mean here: brainly.com/question/9550536

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