In each of the following questions answer the following Wha

In each of the following questions answer the following:

• What kind of random variable is this question asking about?
• Write a probability statement i.e. P(x > X) describing the question.
• What are the relevant pieces of information for the probability statement?
• What are the relevant pieces of information for the probability distribution function?
• Write down the formula for your solution in terms of the probability distribution function.
• Give your numerical answer and the relevant MATLAB code used to find the answer. This can be attached in a separate file as supplementary information.

If X N(µ, ), show that P(|X µ| 0.675) = 0.5

Solution