Let xn = x2 1 + + x2 n, where the xi's are iid standard normal random variables.

(a) show that sn is a chi-square random variable with n de- grees of freedom.

hint: show that x2 i is chi-square with one degree of freedom, and then use problem 6.

(b) find the pdf of tn = (x2 1 + + x2 n)1=2

(c) show that t2 is a rayleigh random variable.

(d) find the pdf for t3. the random variable t3 is used to model the speed of molecules in a gas. it is said to have the maxwell distribution.

steve should create a type of business report called a business plan. the correct option among the options that are already given in the question is the last or the fourth option. this business report created by steve will actually influence the investors about investing their money in steve's business. this business report will have all the details about the business, the amount of investment required and the amount of expected profit.

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step-by-step explanation:

there would only be 50 odd numbers between 1 and 100 so therefor there would be 50 even so that would only be 50 odd numbers.