Suppose that 7 female and 5 male applicants have been successfully screened for 5 positions. if the 5 positions are filled at random from the 12 finalists, what is the probability of selecting

a. 3 females and 2 males?
b. 4 females and 1 male?
c. 5 females?
d. at least 4 females?

(a) 350

(b) 175

(c) 21

(d) 196

Step-by-step explanation:

Number of females = 7

Number of males = 5

Total ways of selecting r items from n items is

(a)

Total ways of selecting 3 females and 2 males.

(b)

Total ways of selecting 4 females and 1 male.

(c)

Total ways of selecting 5 females.

(d)

Total ways of selecting at least 4 females.

Total ways = 4 females + 5 females

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

probability for j is 1/4

while

a is 1/6