Question

A local Honda dealership collects data on customers. Here is data from 311 customers who purchased a Honda Civic.

Hybrid Honda Civic Standard-engine Honda Civic Row totals
Male 77 117 194
Female 34 83 117
Column totals 111 200 311
Which of the following probability statements is found with the computation 117 / 200?

a. P(male and standard engine)
b. P(standard engine | male)
c. P(male | standard engine)
d. P(female)

Answer 1

c. P(male | standard engine)

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

194 of the customers are male

117 of the customers are female

Of the male customers, 77 bought an Hybrid Honda Civic and 117 bought a standard engine Honda Civic.

Of the female customers, 34 bought an Hybrid Honda Civic and 83 bought a standard engine Honda Civic.

Which of the following probability statements is found with the computation 117 / 200?

a. P(male and standard engine)

There are 311 people. 117 are males who bought a standard engine Honda Civic. So this probability is 117/311.

b. P(standard engine | male)

194 are male. 117 bought a standard engine Honda Civic. So this probability is 117/194

c. P(male | standard engine)

200 bougth a standard engine Honda. 117 are male. So this probability is 117/200, and this is the correct answer.

d. P(female)

There are 311 customers, of which 117 are female. So this probability is 117/311.