Review table from a study on diet and exercise. Achieved Goal Weight Did Not Achieve Goal Weight Total Diet Alone 30 70 100 Diet and Exercise 60 40 100 Total 90 110 200 Use this table to calculate the following joint probability 8b) P( Did Not Achieve Goal Weight with Diet and Exercise)= WRITE IN YOUR ANSWER (HINT: remember to round to the hundredth place for example, 0.367 rounds to 0.37 or 0.460 rounds to 0.46)

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**Study on Diet and Exercise: Joint Probability Calculation**

The table below presents data from a study investigating the effects of different weight loss strategies. Participants were divided into two groups: those following a diet alone and those combining diet with exercise.

|                        | Achieved Goal Weight | Did Not Achieve Goal Weight | Total |
|------------------------|----------------------|----------------------------|-------|
| Diet Alone             | 30                   | 70                         | 100   |
| Diet and Exercise      | 60                   | 40                         | 100   |
| Total                  | 90                   | 110                        | 200   |

### Task:

Use this table to calculate the following joint probability.

**8b) P(Did Not Achieve Goal Weight with Diet and Exercise) =** [Write in Your Answer]

**Hint:** Remember to round to the hundredth place. For example, 0.367 rounds to 0.37, and 0.460 rounds to 0.46.
Transcribed Image Text:**Study on Diet and Exercise: Joint Probability Calculation** The table below presents data from a study investigating the effects of different weight loss strategies. Participants were divided into two groups: those following a diet alone and those combining diet with exercise. | | Achieved Goal Weight | Did Not Achieve Goal Weight | Total | |------------------------|----------------------|----------------------------|-------| | Diet Alone | 30 | 70 | 100 | | Diet and Exercise | 60 | 40 | 100 | | Total | 90 | 110 | 200 | ### Task: Use this table to calculate the following joint probability. **8b) P(Did Not Achieve Goal Weight with Diet and Exercise) =** [Write in Your Answer] **Hint:** Remember to round to the hundredth place. For example, 0.367 rounds to 0.37, and 0.460 rounds to 0.46.
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Joint probability is the probability of two events occurring together simultaneously. It is calculated by multiplying the probability of each event, that is probability for event A [ P(A) ] times probability for event B [ P(B) ]. For example the probability of a dice being rolled to a value of 1 is 1/6. So the joint probability of two dice each showing 1 is 1/36.

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