Question

The probability equation for a survey on the number of speeding tickets given on a certain day in a local neighborhood is given as p(x) = 7-2x/20 (where x can be 0,1,2, or 3). does this determine a probability distribution why or why not

Answer 1

Answer:

I belive the answer is no because the sum is not equal to 1

Step-by-step explanation:

Answer 2

Solution:

The probability equation for a survey on the number of speeding tickets given on a certain day in a local neighborhood is given as p(x) =$\frac{7-2 x}{20}$ ,where x = 0,1,2, or 3.

$P(0)=\frac{7-2\times0}{20}=\frac{7}{20}\\\\P(1)=\frac{7-2\times1}{20}=\frac{5}{20}=\frac{1}{4}\\\\P(2)=\frac{7-2\times2}{20}=\frac{3}{20}\\\\ P(0)=\frac{7-2\times3}{20}=\frac{1}{20}$

As,  variables are discrete  ,it is the case of discrete probability distribution. And  x, takes the value, =0,1,2,3

Sum of these values must be equal to 1.

So, P(0) +P(1)+P(2)+P(3)$=\frac{7}{20}+\frac{5}{20}+\frac{3}{20}+\frac{1}{20}\\\\ =\frac{16}{20}\\\\=\frac{4}{5}$

≠ 1

So, it is not a Probability distribution.As, sum of Probabilities of each x, value is not equal to 1.