Self Check Answers
386
. Next, we find . Event , shown in the blue rectangle, has six outcomes, each of which is equally likely. Given has occurred, there is only one way to get a sum of . . Therefore, and are independent.
Outcome | Positive test | Negative test |
---|---|---|
Conditional probability given no arsenic | 0.86 |
387
Should be worried; the chance that arsenic is in the water, given the test was positive, is high.
Number of rolls until sum 7 |
1 | 2 | 3 | 4 | 5 | … | … | |
---|---|---|---|---|---|---|---|---|
Probability | … | … |
Using the table, the first digits on the invoice numbers are:
The proportion of numbers assigned a first digit of 1, 2, or 3 is 0.35.
Let be the playlists that include “The Ballad of John and Yoko.” This song could be the first, second, third, fourth, or fifth song on a playlist. If it is the first song, then there are ways to complete the playlist by choosing four songs in order from the remaining 26 songs. The same is true if “The Ballad of John and Yoko” is the second, third, fourth, or fifth song. Therefore, the number of outcomes in is and
The graph of the density curve (a) along with shaded region corresponding to part (b) appears below.
Using products from the table below:
Number who call in sick, |
0 | 1 | 2 | 3 | 4 |
---|---|---|---|---|---|
Probability, | 0.49 | 0.26 | 0.15 | 0.07 | 0.03 |
Product, | 0 | 0.26 | 0.30 | 0.21 | 0.12 |