Question

Employment data at a large company reveal that 75% of the workers are​ married, 42​% are college​ graduates, and half of the college grads are married. Complete parts a through c below.
a) What's the probability that a randomly chosen worker is neither married nor a college​ graduate? ​(Type an integer or a decimal. Do not​ round.)

b) What's the probability that a randomly chosen worker is married but not a college​ graduate? ​(Type an integer or a decimal. Do not​ round.) ​

c) What's the probability that a randomly chosen worker is married or a college​ graduate? ​(Type an integer or a decimal. Do not​ round.)

Answer 1

Answer:

a. P=0.04

b. P=0.54

c. P=0.96

Step-by-step explanation:

If half of the college graduates are married, then we have:

- 21% are college graduates and married.

- 21% are college graduates and not married.

If 75% of the workers are married, and 21% of the workers are college graduates and married, then (75%-21%)=54% of the workers are not college graduates that are married.

If 25% of the workers are married, and 21% of the workers are college graduates and not married, then (25%-21%)=4% of the workers are not college graduates that are not married.

a) P=0.04 (explanation above)

b) P=0.54

c) In this case, the probability is the complement of point "a". Then we can calculate it by substracting the probability of not being married and not being a college graduate.

P=1-0.04=0.96