i need help on this Suppose (X_1, X_2, .., X_n) is a sample drawn from some popu

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i need help on this

Suppose (X_1, X_2, .., X_n) is a sample drawn from some population with parameter, which of the following is NOT a sample statistic? (A) X_1 (B) 1/n sigma^n_i=1 X_i (C) 1/n - l Sigma^n_i=1(X_i - mu)^2? (D) max{X_1, ..., X_n) Let A, B, C be any three events. Try to use A, B, C to express the following events: (a) Only A occurs: (b) Both A and B occur, while C doesn't occur: (c) All these three events occur: (d) At least one of A, B, C occurs: (e) At least two of A, B, C occur: (f) Exactly one of A, B, C occurs: (g) Exactly two of A, B, C occur: h) None of these three events occurs: i) No more than two of A, B, C occur. Each state of 50 states has 2 senators. Consider the event that choose 50 representatives at random from 100 senators to form some committee. Calculate (just write down the formula): (1) The probability that there must be representative(s) from Pennsylvania. (2) The probability that each state has one representative in the committee. Suppose that 5% of men and 0.25% of women are color-blinded. A person is chosen at random and that person is color-blinded. What is the probability that the person is male? (Assume males and females to be in equal numbers.) If P(A) = 1/3 and P(B^c) =1/4 can A and B be disjoint? Explain. Suppose X ~ NB(5, 0.5) (in the sense we introduced in class), which of the following R commands correctly calculates the probability P(6 lessthanorequalto X

Explanation / Answer

AS PER CHEGG POLICIES I AM ANSWERING Q1 ONLY AS MULTIPLE QUESTIONS ARE POSTED HERE

1) A) x1 IS NOT a sample statisic as it is not an estimate of population parameter

2)

a) P(A) - P(AB) - P(BC) + P(ABC)

b) P(AB) - P(ABC)

c) P(ABC)

d) P(A) + P(B) + P(C) - P(AB) - P(AC) - P(BC) + P(ABC)

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