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Which of the following is not an example of a discrete random variable?a. the number of heads observed for ten coin tossesb. the mass of an apple randomly chosen from a supermarket binC. the sum resulting from the roll of two six-sided diced. the number of hearts in a randomly chosen hand of seven playing cards

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ANSWER

b. the mass of an apple randomly chosen from a supermarket bin

Step-by-step explanation

A discrete random variable can take countable values: 1, 2, 3, 4, ..., n.

• The number of heads observed for ten coin tosses will be an integer from 0 to 10, so this is an example of a discrete random variable.

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• The sum resulting from the roll of two six-sided dice is also an integer. It is a number between 2 and 12, so this is an example of a discrete random variable.

,

• The number of hearts in a randomly chosen hand of seven playing cards is also discrete because it can take values 0, 1, 2, 3, 4, 5, 6, or 7.

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• The mass of an object is ,not, a discrete random variable. This is because the mass of an object can take any value between integers. For example, the mass of an apple can be between 70 grams and 100 grams and it can take ,any, value between those two.

Hence, the mass of an apple randomly chosen from a supermarket bin is not an example of a discrete random variable.

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