Of 2,000 students surveyed, 80% indicated that they commute to school each day. of those that commute to school each day, 83% spend more than $25 a week on gasoline. of those that do not commute to school each day, 95% indicated that they do not spend more than $25 a week on gasoline. a student surveyed is chosen at random. 4. what is the probability that this student does spend more than $25 a week on gas, given that he/she does commute to school each day?

Question

Lou

Mathematics

22 October, 16:05

Of 2,000 students surveyed, 80% indicated that they commute to school each day. of those that commute to school each day, 83% spend more than $25 a week on gasoline. of those that do not commute to school each day, 95% indicated that they do not spend more than $25 a week on gasoline. a student surveyed is chosen at random. 4. what is the probability that this student does spend more than $25 a week on gas, given that he/she does commute to school each day?

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Answers (1)

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Steven Frank · Answer 1

Commute to school

= 80% of 2000

= 0.8 x 2000

= 1600

Commute to school and spend more than $25 on gasoline

= 83% of 1600

= 0.83 x 1600

= 1328

Given that he/she commute to school,

P (Spend more than $25) = 1382/1600 = 691/800

Answer: 691/800