Question

According to a? survey, the probability that a randomly selected worker primarily drives a motorcycle to work is 0.775. The probability that a randomly selected worker primarily takes public transportation to work is 0.072. Complete parts? (a) through? (d). ?

(a) What is the probability that a randomly selected worker primarily drives a motorcycle or takes public transportation to? work? ?P(worker drives a motorcycle or takes public transportation to ?work)equals ?(Type an integer or decimal rounded to three decimal places as? needed.)

?(b) What is the probability that a randomly selected worker primarily neither drives a motorcycle nor takes public transportation to? work? ?P(worker neither drives a motorcycle nor takes public transportation to ?work)equals ?(Type an integer or decimal rounded to three decimal places as? needed.)

?(c) What is the probability that a randomly selected worker primarily does not drive a motorcycle to? work? ?P(worker does not drive a motorcycle to ?work)equals ?(Type an integer or decimal rounded to three decimal places as? needed.) ?(d) Can the probability that a randomly selected worker primarily walks to work equal 0.25?? Why or why? not?

A. No. The probability a worker primarily? drives, walks, or takes public transportation would be greater than 1.

B. Yes. If a worker did not primarily drive or take public? transportation, the only other method to arrive at work would be to walk.

C. Yes. The probability a worker primarily? drives, walks, or takes public transportation would equal 1

D. No. The probability a worker primarily? drives, walks, or takes public transportation would be less than 1.

Answer 1

a)

probability that a randomly selected worker primarily drives a motorcycle or takes public transportation to? work=
P(drives a motorcycle)+P(takes public transportation)=0.0775+0.072=~0.150

b) probability that a randomly selected worker primarily neither drives a motorcycle nor takes public transportation to? work=1-0.150=0.850

c)?P(worker does not drive a motorcycle to ?work) =1-0.0775=0.923

d)

D. No. The probability a worker primarily? drives, walks, or takes public transportation would be less than 1.