In a recent survey, 65% of the community favored building a police substation in

Question

In a recent survey, 65% of the community favored building a police substation in their neighborhood. If 14 citizens are chosen, find the probability that exactly 11 of them favor the building of the police substation. A. 0.786 B. 0.137 C. 0.001 D. 0.65 E. 0.002 Find the expected value of the random variable X with probability density function defined by f(x) = 3x^2/26 on the interval [1, 3] A. 3/26 B. 30/13 C. 3/4 D. 3/104 E. 300/169. If the joint density function for X and Y is given by f(X) = {C(x + 2y), 0 lessthanorequalto x lessthanorequalto 10, 0 lessthanorequalto y lessthanorequalto 10 0, otherwise Find the value of the constant C. A. 1/1500 B. 1/500 C. 167/1500 D. 3/1600 E. 57/900.

Explanation / Answer

23.

we will use the binomial theorm pdf formula to solve the following:

p = .65

n=14

P(X=11)
= 14C11(.65^11)(.35^3)
=.137

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