Question

Type the correct answer in each box. Round your answers to the nearest hundredth.

of a total of 100 buses operated within a particular town, 48 usually run on time and 36 of these buses are owned by Jerry, of the 52 buses that
usually run behind schedule, only 7 are owned by Jerry.
The probability that a bus is owned by Jerry, given that it runs on time, is
%. The probability that a bus is owned by Jerry, given that it
runs late, is

Answer 1

1st Answer : 75% | 2nd answer : 13.4%

Step-by-step explanation:

Sorry if it's wrong

Answer 2

Question 1: The probability that a bus is owned by Jerry, given that it runs on time:

• 3/4

Question 2: The probability that a bus is owned by Jerry, given that it runs late

• 7 / 52

Step-by-step explanation:

A two-way table is very good to deal with these kind of probability questions because helps you to determine the every subset.

I will guide you on how to build the two-way table.

Identify the possible sets. These are:

• Buses operated within a particular town (100)
• Buses that run on time
• Buses that run late
• Buses owned by Jerry
• Buses not owned by Jerry.

With that, you start to build your table:

1. Start

Run on time Run late Total

Owned by Jerry

Not owned by Jerry

Total 100

Now, lets fill using each statement:

2. 48 usually run on time

Run on time Run late Total

Owned by Jerry

Not owned by Jerry

Total 48 100

3. 36 of these are owned by Jerry:

Run on time Run late Total

Owned by Jerry 36

Not owned by Jerry

Total 48 100

4. Of the 52 buses that usually run behind, only 7 are owned by Jerry:

Run on time Run late Total

Owned by Jerry 36 7 43

Not owned by Jerry

Total 48 52 100

You may even fill the second row, but you will not need it to answer the questions.

5. Complete the table using differences:

Run on time Run late Total

Owned by Jerry 36 7 43

Not owned by Jerry 12 45 57

Total 48 52 100

6. Answer the questions:

Question 1: The probability that a bus is owned by Jerry, given that it runs on time:

• Probability of an event = # favorable outcomes / # total outcomes

• Probability that a bus owned by Jerry, given that it runs late = # buses owned by Jerry that runs on time / # buses that run on time = 36 / 48 = 3/4

Question 2: The probability that a bus is owned by Jerry, given that it runs late

• Probability that a bus is owned by Jerry, given that it runs late = # buses owned by Jerry that run late / # buses that run late = 7 / 52