Question

A die is rolled. If X denotes the number of positive divisors of the outcome then the range of the random variable X is ______.

Options

• {1, 2, 3}

• {1, 2, 3, 4}

• {1, 2, 3, 4, 5, 6}

• {1, 3, 5}

Answer 1

A die is rolled. If X denotes the number of positive divisors of the outcome then the range of the random variable X is {1, 2, 3, 4}.

Explanation:

When we get 1, number of positive divisors is 1

When we get 2, number of positive divisors are 2

When we get 3, number of positive divisors are 2

When we get 4, number of positive divisors are 3

When we get 5, number of positive divisors are 2

When we get 6, number of positive divisors are 4

Hence the range of random variable X is {1, 2, 3, 4}