A die is a cube with the numbers 1, 2, 3, 4, 5, 6 on its faces. If the die is ro

Question

A die is a cube with the numbers 1, 2, 3, 4, 5, 6 on its faces. If the die is rolled 3 times, how many different way are there of getting one 4. one 3. and one 2? If I have 6 students and I am awarding 1 A. 2 B's. and 3 C's. how many different ways can I select which students get A's, B's. and C's? For Problems 3 and 4, assume X is a Gaussian random variable with mean 0 and standard deviation 4. Write out. fully, the integral that expresses the probability that the value of X lies between 1 and 2.given that X

Explanation / Answer

Dear student, I am only answering the first question as per Chegg Guidelines.

1.

Here, we need to know the number of wasy of drawing one 4, one 3 and one 2. So these three numbers can be arranged in 3!-6 ways.

In other way,

The possible combinations are: (234,243,324,342,432,423) which are 6.

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