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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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Find the volume of each of the following cubes. a. s = 7 kilometers b. s = 11 yards
nadya68 [22]

Answer:

Part 1) V=343\ km^{3}

Part 2) V=1,331\ yd^{3}

Step-by-step explanation:

we know that

The volume of a cube is equal to

V=s^{3}

where

s is the length of the cube

Part 1)

we have

s=7\ km

substitute in the formula

V=7^{3}

V=343\ km^{3}

Part 2)

we have

s=11\ yd

substitute in the formula

V=11^{3}

V=1,331\ yd^{3}


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3 years ago
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Eric's cell phone service costs $40.00 a month for unlimited calls. He also pays $0.02 for each text message he sends.
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Answer:

A. 40.021

Step-by-step explanation:

Unlimited calls = $40

Text message = $0.021

NOTE:There is a difference between the value you gave for cost of text messages in the question and the values given in the group of answers. I will use $0.021 for cost of text messages since it is common to all answer choices.

Total cost = Cost of unlimited calls + cost of text messages

C = $40 + $0.021

= $40.021

Therefore, the equation which represent the total cost in dollars for a month is 40.021

A. 40.021

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3 years ago
Find the variable of z; 3 4.5 1.5 z
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Step-by-step explanation:

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X/10=7 what does x equal?
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Answer:

Step-by-step explanation:

x/10=7

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3 0
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If 4 Maths books are selected from 6 different Maths different English books, how many ways can the seven om Maths books and 3 E
alexgriva [62]

Answer:

Please see the answer below

Step-by-step explanation:

a. Since there’s no restrictions .Therefore , the number of ways = 7!*150 = 756000

b. The number of ways such that the 4 math books remain together

The pattern is as follows:  MMMMEEE, EMMMMEE, EEMMMME, and EEEMMMM

Where M = Math’s Book and E= English Book.  

Number of ways = 4!*8!*4*150= 86400 ways.

c. The number of ways such that  math book is at the beginning of the shelf

The number of ways = 6!*4*150 = 432000

d. The number of ways such that  math and English books alternate

The number of ways = 150*4!*3! =2160 ways

e.  The number of ways such that math is at the beginning and an English book is in the middle of the shelf. The number of ways = 4*3*5!*150 =216000 ways.

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