During a recent holiday police check, 70% of the drivers stopped were under the

Question

During a recent holiday police check, 70% of the drivers stopped were under the age of 30 and 20% of the drivers were under the influence of alcohol. Of the drivers under 30 years of age, 10% were under the influence of alcohol.

In blank #1 enter the probability that a driver was under 30 and under the influence of alcohol.

In blank #2 enter the probability that a driver was under 30 or under the influence of alcohol.

In blank #3 enter the probability that a driver was under the age of 30, given that they were under the influence of alcohol.

In blank #4 enter the probability that a driver was neither under 30 nor under the influence of alcohol.

Round your answers to 2 decimal places and enter your answers 0.15 and not .15.

Explanation / Answer

Ans:

P(<30)=0.7

P(alcohal)=0.2

P(alcohal/<30)=0.1

1)P(<30 and alcohal)=P(alcohal/<30)*P(<30)=0.1*0.7=0.07

2)P(alcohal or <30)=P(alcohal)+p(<30)-P(alcohal and <30)

=0.2+0.7-0.07

=0.83

3)P(<30/alcohal)=P(<30 and alcohal)/P(alcohal)=0.07/0.2=0.35

4)P( neither alcohal nor <30)=1-P(alcohal or <30)=1-0.83=0.17

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.