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kobusy [5.1K]
3 years ago
12

M- Determine whether or not the procedure described below results in a binomial distribution. If it is not​ binomial, identify a

t least one requirement that is not satisfied.Six hundred different voters in a region with two major political​ parties, A and​ B, are randomly selected from the population of 5500 registered voters. Each is asked if he or she is a member of political party
A. Yes, the result is a binomial probability distribution.B. No, the trials are not independent and the sample is more than 5% of the population.C. ​No, there are more than two possible outcomes.D. ​No, the number of trials is not fixed.E. No, the probability of success is not the same in all trials
Mathematics
1 answer:
Igoryamba3 years ago
7 0

Answer:

A. Yes, the result is a binomial probability distribution.

Step-by-step explanation:

The experiment above depicts a binomial probability distribution because the 4 required conditions are met :

1.) The distribution is independent as the possible outcome of each trial is the same.

2.) There are two possible categories and the result of each trial is one of two outcomes : Yes or No

3.) The number of observation is fixed at sample size of 5500

4.) The probability of success and failure of each trial is the same for all trials in the sample.

Hence, we can conclude that the experiment depicts a binomial probability distribution.

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Answer:

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According to the question, the correct graph is D.

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A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting
s344n2d4d5 [400]

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

12 resistors, which means that N = 12

3 defective, which means that k = 3

4 are selected, which means that n = 4

To find an specific probability, that is, of x defectives:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}

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Answer:

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Step-by-step explanation:

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