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Naily [24]
3 years ago
8

Determine whether the given procedure results in a binomial distribution​ (or a distribution that can be treated as​ binomial).

If the procedure is not​ binomial, identify at least one requirement that is not satisfied. Five different senators from the current U.S. Congress are randomly selected without replacement and whether or not​ they've served over 2 terms is recorded. Does the probability experiment represent a binomial​ experiment? A. ​No, because the experiment is not performed a fixed number of times. B. ​No, because the trials of the experiment are not independent and the probability of success differs from trial to trial. C. ​Yes, because the experiment satisfies all the criteria for a binomial experiment. D. ​No, because there are more than two mutually exclusive outcomes for each trial.
Mathematics
1 answer:
MArishka [77]3 years ago
5 0

Answer:

B. ​No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.

Step-by-step explanation:

The first criterion of a binomial distribution is a fixed number of trials.  Selecting 5 senators means the number of trials is 5, which is a fixed number.

The next criterion is that the trials must be independent.  Selecting the senators without replacement means the trials are dependent, not independent; this means that this is not a binomial distribution.

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Three students want to estimate the mean backpack weight of their schoolmates. To do this, they each randomly chose 8 schoolmates and weighed their backpacks. Then as per the given sample data,

(a) The sample means of the backpacks are: 6.375,6.375,6.625

(b) Range of sample means: 0.25

(c)The true statement is: The closer the range of the sample means is to 0, the less confident they can be in their estimate.

For the first sample, mean= 6.375

For the second sample, mean= 6.375

For the third sample, mean= 6.625

Range of sample means=Maximum Mean- Minimum Mean

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The students will estimate the average backpack weight of their classmates using sample means, the true statement is:

The closer the range of the sample means is to 0, the more confident they can be in their estimate.

Learn more about range here:

brainly.com/question/24326172

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