Question

А

Subtotal
Male
11
20
Female
13 T 22 TOT 10 us
24 27 20 26
Subtotal
a. Fill in the blank cells by computing subtotals. In the last call of the bottom
5pts
place the sum of all the interior cells. What is the total number of the
participated in the survey?
b. P(male)

Answer 1

a)

The total number of students who participated in the survey is 97

b)

P(male) = 0.5361

c)

P(A) = 0.2474

d)

The events male and TV show B are not mutually exclusive since 5 males prefer TV show B.

e)

The events female and TV show C are mutually exclusive since no female participant prefers TV show C

Explanation:

a)

The total number of students who participated in the survey is obtained as;

Number of male participants + number of female participants

52 + 45 = 97

b)

P(male)

This is the probability that a randomly selected individual would be a male;

P(male) = ( number of male participants) / ( total participants)

= 52/97 = 0.5361

c)

P(A)

This is the probability that a randomly selected participant would prefer TV show A;

P(A) = ( participants who prefer TV show A) / (total participants)

= 24/97 = 0.2474

d)

Two events are said to be mutually exclusive if they cannot happen at the same time. Another word that means mutually exclusive is disjoint. If two events A and B are disjoint, then the probability of them both occurring at the same time is 0.

The events male and TV show B are not mutually exclusive since 5 males prefer TV show B. The probability is thus not 0.

e)

Two events are said to be mutually exclusive if they cannot happen at the same time. Another word that means mutually exclusive is disjoint. If two events A and B are disjoint, then the probability of them both occurring at the same time is 0.

The events female and TV show C are mutually exclusive since no female participant prefers TV show C. The probability is thus 0.