Question

determine whether the following is a probability distribution. if not, identify the requirement that is not satisfied. a police department reports that the probabilities that 0, 1, 2, 3, and 4 car thefts will be reported in a given day are 0.174, 0.320, 0.279, 0.135, and 0.070, respectively. probability distribution. not a probability distribution. one of the p(x)s is negative. not a probability distribution. the sum of the p(x)s is not 1.

Explanation:

Step1: Check non - negativity of probabilities

All given probabilities \(0.174, 0.320, 0.279, 0.135,0.070\) are non - negative.

Step2: Calculate the sum of probabilities

\(P = 0.174+0.320 + 0.279+0.135 + 0.070=0.978
eq1\)

Answer:

Not a probability distribution. The sum of the \(P(x)\)'s is not 1.