Question

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

Answer 1

Answer:

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

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