An elementary school bus comes at 8:15 am every morning to pick up children in a neighborhood. The probability that the bus will be late is 0.19 and the probability that the bus will be early is 0.02. What is the probability that the bus will arrive early next two days? What is the probability that the bus will arrive on time next two days? In two or more complete sentences, explain your calculations for parts A and B. In your explanation, include their similarities and differences.

Question

Mathematics

Ivan Santos

13 March, 17:52

An elementary school bus comes at 8:15 am every morning to pick up children in a neighborhood. The probability that the bus will be late is 0.19 and the probability that the bus will be early is 0.02. What is the probability that the bus will arrive early next two days? What is the probability that the bus will arrive on time next two days? In two or more complete sentences, explain your calculations for parts A and B. In your explanation, include their similarities and differences.

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Answers (1)

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Eaton · Answer 1

A. 0.0004

B. 0.61

In A, you can get the answer by multiplying 0.02, which is the probability that the bus will arrive early, and 2, which is the number of days. So 2 (0.02) is 0.0004, which is the probability that the bus will arrive early for the next two days.

In B, you can get the answer by subtracting 0.19, which is the probability that the bus will be late, and 0.02, which is the probability that the bus will be early, from 1 which is the sum of all probabilities. So 1 - (0.02+0.19) is 0.61, which is the probability that the bus will arrive on time.