A survey of top executives revealed that 35% of them regularly read Time magazine, and 40% read U.S. News & World Report. Ten percent read both Time and U.S. News & World Report. What is the probability that a particular top executive reads either Time or U.S. News & World Report regularly? Select one: a. 0.85 b. 0.75 c. 1 d. 0.65

Respuesta :

Answer:

Option D) 0.65    

Step-by-step explanation:

We are given the following in the question:

Percentage of executives who read Time magazine = 35%

[tex]P(M) = 0.35[/tex]

Percentage of executives who read U.S. News & World Report = 40%

[tex]P(N) = 0.4[/tex]

Percentage of executives who read both Time magazine and U.S. News & World Report = 10%

[tex]P(M\cap N) = 0.1[/tex]

We have to find the probability that a particular top executive reads either Time or U.S. News & World Report regularly.

Thus, we have to evaluate,

[tex]P(M\cup N) = P(M) + P(N) -P(M\cap N)[/tex]

Putting values, we get,

[tex]P(M\cup N) = 0.35 + 0.4 - 0.1=0.65[/tex]

0.65 is the probability that a particular top executive reads either Time or U.S. News & World Report regularly.

Thus, the correct answer is

Option D) 0.65