Question

In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?A. 0.9B. 0.7C. 0.45D. 0.3E. 0.25

Answer 1

Answer:

Option B is right

Step-by-step explanation:

Given that in the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 20 percent of the female students are 25 years old or older.

                      Males              Females

                        48%                    52%

25 or more

age                  40%                     20%

One student in the class is randomly selected,

to find the probability that he or she will be less than 25 years old

= Prob (male and less than 25 years old)+Prob (female and less than 25 years old)

(since mutually exclusive and exhaustive)

= $0.48(1-0.4) + 0.52(1-0.20)\\= 0.288+ 0.416\\= 0.704$

After rounding off to 1 one decimal

we get 0.7

Option B is right