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Which one of these variables is a continuous random variable? a. The time it tak

ID: 3380507 • Letter: W

Question

Which one of these variables is a continuous random variable?

a. The time it take a randomly selected student to complete an exam

b. The number of children in a family

c. The number of women taller than 68 inches in a random sample of 5     women.

d, The number of correct guesses an a multiple choice test.

2.Selection of favorite fruits and responses of orange, grape, apple, kiwi or other many were recorded are

a.Probability distribution

b.Binomial distribution

c.Poisson distribution

d.none

Please explain

Explanation / Answer

Which one of these variables is a continuous random variable?

a. The time it take a randomly selected student to complete an exam [ANSWER]

A continuous variable can take any value on a certain interval. Here, the student can complete an exam in 34.32897 minutes. For the other choices, you can't have decimal values.

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2.Selection of favorite fruits and responses of orange, grape, apple, kiwi or other many were recorded are

a. Probability distribution. [ANSWER]

It is not a binomial because there are not only 2 outcomes. It is not Poisson because this is a categorical variable. However, we can present this as a probability distribution, giving each fruit its own probability.

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