In the situation below, is it reasonable to use a binomial distribution for the

Question

In the situation below, is it reasonable to use a binomial distribution for the random variable X? A manufacturer of running shoes picks a random sample of the production of shoes each day for a detailed Inspection. Today's sample of 20 pairs of shoes includes 1 pair with a defect. Determine whether the following statement is True or False: It is reasonable to use a binomial distribution for the random variable X True False In the situation below, is it reasonable to use a binomial distribution for the random variable X? A nutrition study chooses an SRS of college students. They are asked whether or not they usually eat at least five servings of fruits or vegetables per day. X is the number who say that they do. Determine whether the following statement is True or False: It is reasonable to use a Binomial distribution for the random variable X. True False In the situation below, is it reasonable to use a binomial distribution for the random variable X? X is the number of days during the school year when you skip a class. Determine if the following is true or false: It is reasonable to use a binomial distribution for the random variable. True False

Explanation / Answer

step 2

Here x:manufacture of shoes pair.

n=number of trails =20

p=proportion of defective pair =1/20

so this binomial distribution.

Correct option is True.

step 3

x: is the who say that they do.

here number of trials is not fixed and the proportion is not given.

This is not binomial distribution .

Correct option is False

step4

here x: is the number of days during the school ear when you skip a class.

here p=proportion of skip the class

n=number of days , here number of trials are fixed ( 365 days)

so this is binomial distribution

Correct option is TRUE.

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