Whenever Nicole rents a movie from iTunes, the probability that it will be a comedy is 52%. Of the next seven movies she rents, what is the probability that she rents NO MORE THAN two comedies?

Step-by-step explanation:

Given: the probability that the movie rented by Nicole will be comedy is 52%.

To find:  the probability that she rents NO MORE THAN two comedies

Solution:

Probability refers to chances of occurrence of some event.

Probability that the movie rented by Nicole will be comedy = 52% = 0.52

Probability that the movie rented by Nicole will not be comedy = 100% - 52% = 48% = 0.48

Probability that she rents NO MORE THAN two comedies = Probability that she rents no comedy movie + Probability that she rents one comedy movie + Probability that she rents two comedy movies

=

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1