2. (3 marks) A marketing company conducted a box office study and they found the following. The probability that a husband watches the movie Toy Story is 0.4 while the probability that a wife watches the movie is 0.5. The probability that a husband watches the movie, given that his wife does, is 0.7. (a) What is the probability that a married couple watches the movie

0.35 = 35% probability that a married couple watches the movie

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

The probability that a husband watches the movie, given that his wife does, is 0.7.

This means that

The probability that a wife watches the movie is 0.5.

This means that

What is the probability that a married couple watches the movie?

Both, so:

0.35 = 35% probability that a married couple watches the movie

there is no grid

step-by-step explanation:

c.

step-by-step explanation:

substitution for (0,1)

y=x^2+4x+1

1=0^2+4(x)0+1

1=0+4(x)0+1

1=4(x)0+1

1=0+1

1=1

substitution for (-3,-2)

y=x+1

-2=-3+1

-2=-2