Question

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.. 1. What is the probability that the bus will arrive early next two days? 2. What is the probability that the bus will arrive on time next two days? 3. In two or more complete sentences explain your calculations for parts A and B. In your explanation include their similarities and differences.

Answer 1

a. .02 * .02 = .0004
b. (1 - .02 - .19) = .79; .79*.79 = .6241

Answer 2

Answer: A) 0.0004

B) 0.6241

C) Similarities between part A and B is that both occurs for the next two days. Difference between part A and B is that in A it was asking about bus will arrive early while in B it was asking about the bus will arrive on time.

Explanation:

Since we have given that

Probability that the bus will be late = 0.19

Probability that the bus will be early = 0.02

Probability that the bus will be on time = 1-(0.19+0.02)=0.79

So, The probability that the bus will arrive early next two days is given by

`(0.02)^2=0.0004`

probability that the bus will arrive on time next two days is given by

`0.79^2=0.6241`

Similarities between part A and B is that both occurs for the next two days.

Difference between part A and B is that in A it was asking about bus will arrive early while in B it was asking about the bus will arrive on time.