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

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) = ,where x = 0,1,2, or 3.

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)

≠ 1

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

first, let's see what the pattern is.

58 - x = 47

46 - x = 36

x = 9

so this means that the term after 25 is 25 - 9:

the next term in the sequence is 16.