Question

1.

Suppose it is known that 76% of Winnipeggers have been to Grand Beach. In a random sample of 800 Winnipeggers, what is the approximate probability that at least 78% of them have been to Grand Beach?

Question 32 options:

	0.0734
	0.0934
	0.1334
	0.0534
	0.1134

2.

The next two questions (2 and 3) refer to the following:

Three of the films nominated for the 2019 Best Picture Academy Award were Roma, Black Panther and A Star Is Born. Suppose we have the following information about movie fans in Canada:

• 16% of movie fans have seen Roma.

• 59% of movie fans have seen Black Panther.

• 83% of movie fans have seen Black Panther or A Star Is Born.

• 24% of movie fans have seen Black Panther and A Star Is Born.

• 11% of movie fans have seen Roma and Black Panther.

• 7% of movie fans have seen Roma and A Star Is Born.

• 4% of movie fans have seen all three films.

What is the probability that a randomly selected Canadian movie fan has seen A Star Is Born?

Question 27 options:

	0.44
	0.39
	0.37
	0.41
	0.48

3.

What is the probability that a randomly selected Canadian movie fan has seen only Roma (and not the other two movies)?

Question 28 options:

	0.02
	0.06
	0.05
	0.04
	0.03

Answer 1

1.

Standard error = = 0.0151

P(p > 0.78) = P[Z > (0.78 - 0.76)/0.0151] = P[Z > 1.32] = 0.0934

2.

P(Black Panther or A Star Is Born) = P(A Star Is Born) + P(Black Panther) - P(Black Panther and A Star Is Born)

0.83 = P(A Star Is Born) + 0.59 - 0.24

P(A Star Is Born) = 0.83 - 0.59 + 0.24 = 0.48

3.

P(only Roma) = P(Roma) - P(Roma and Black Panther) - P(Roma and A Star Is Born) + P(all three films)

= 0.16 - 0.11 - 0.07 + 0.04

= 0.02