Two boys play basketball in the following way. They take turns shooting and stop when a basket is made. Player A goes first with a probability p1 of making a basket on any throw. Player B, who shoots second, has probability 2 p of making a basket. The outcomes of the successive trials are assumed to be independent. (a) Find the probability mass function for the total number of attempts. (b) What is the probability that player A wins

P(A) = p1 (1 − q1q2)

Step-by-step explanation:

Let A = player A wins,

then  P(A) = p1 + (1 − p1)(1 − p2)P(A)

⇒ P(A) = p1 (1 − q1q2)

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.