determine whether the following is a probability distribution. if not, identify the requirement that is not…

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.

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.

Answer

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\neq1)

Answer:

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