kamden is a mind - reading alien. he had each friend draw and look at a card, then he guessed whether the…
kamden is a mind - reading alien. he had each friend draw and look at a card, then he guessed whether the card had a star on it. the two - way frequency table below shows data on guess and true status of the cards the friends drew. complete the following two - way table of row relative frequencies. (if necessary, round your answers to the nearest hundredth.) kamden guessed a star kamden guessed not a star card had a star 4 2 card didnt have a star 1 752 kamden guessed a star kamden guessed not a star row total card had a star 1.00 card didnt have a star 1.00
Answer
Explanation:
Step1: Calculate row - relative frequency for "Card had a star" and "Kamden guessed a star"
Row - relative frequency = $\frac{\text{Cell value}}{\text{Row total}}$. For the cell where card had a star and Kamden guessed a star, the cell value is 4 and the row total for "Card had a star" is $4 + 2=6$. So the row - relative frequency is $\frac{4}{6}\approx0.67$.
Step2: Calculate row - relative frequency for "Card had a star" and "Kamden guessed not a star"
The cell value is 2 and the row total for "Card had a star" is 6. So the row - relative frequency is $\frac{2}{6}\approx0.33$.
Step3: Calculate row - relative frequency for "Card didn't have a star" and "Kamden guessed a star"
The cell value is 1 and the row total for "Card didn't have a star" is $1 + 752=753$. So the row - relative frequency is $\frac{1}{753}\approx0.00$.
Step4: Calculate row - relative frequency for "Card didn't have a star" and "Kamden guessed not a star"
The cell value is 752 and the row total for "Card didn't have a star" is 753. So the row - relative frequency is $\frac{752}{753}\approx1.00$.
Answer:
| Kamden guessed a star | Kamden guessed not a star | Row total | |
|---|---|---|---|
| Card had a star | 0.67 | 0.33 | 1.00 |
| Card didn't have a star | 0.00 | 1.00 | 1.00 |