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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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Lostsunrise [7]

Answer:

4

Step-by-step explanation:

1/5 is the same as 2/10. How many 2's can you put in 9? You can put 4.5 2's in a 9. However, filling half a bag does not fill the entire bag, so the answer would be 4. You can fill 4 full 1/5 pound bags with 9/10 pounds of granola.

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3 years ago
Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begin?
Alex777 [14]

Answer:

\frac{1}{2}x + 16 = 36

40 comic books

Step-by-step explanation:

Let x be the Jill comic books.

Given:

Jill sold half of her comic books and then bought sixteen more. She now has 36.

\frac{1}{2}\ (Jill\ books) + 16\ more\ books = 36

\frac{1}{2}\ (x) + 16 = 36

\frac{1}{2}x + 16 = 36

Therefore the algebraic equation of the given statement.

\frac{1}{2}x + 16 = 36--------(1)

Now we solve above equation for x.

Subtract by 16 both side of the equation 1.

\frac{1}{2}x + 16 -16 = 36 -16

\frac{1}{2}x = 20

Multiply by 2 both side of the above equation.

2\times \frac{1}{2}x =2\times 20

x = 40

Therefore, Jill had 40 comic books.

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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