182k views
5 votes
I NEED HELP QUICK!!

6 in group A saw results, 7 in group B saw results, 5 in group C saw results, 4 in group D saw results.
Part 1:
Create a two-way table for the data and find the probabilities for each group. Describe results in terms of the study.
Part 2:
What is the probability that a person saw results, given the received the power pill? What is the probability that a person saw results, given they received a placebo? Explain in terms of study.
Part 3:
What is the probability that a person received the placebo, given they did not see results? What is the probability that a person received the power pill, given that they did not see results? Explain in terms of the study.

User DMulligan
by
5.4k points

2 Answers

1 vote

Answer:

Results

No Results

Totals

Group A

6

4

10

Group B

7

3

10

Group C

5

5

10

Group D

4

6

10

Totals

22

18

40

Using the data above, please calculate each probability:

The probability for Group A to see results ___15%___.

The probability for Group A to see no result___10%____.

The probability for Group B to see results __17.5%____.

The probability for Group B to see no result___7.5%____.

The probability for Group C to see results ___12.5%___.

The probability for Group C to see no result___12.5%____.

The probability for Group D to see results ___10%___.

The probability for Group D to see no result___15%____.

TASK 2 Part 2

What is the probability that a person saw results given they received the power pill? __65%____

What is the probability that a person saw results given they received the placebo? ___45%___

Show your work and explain in terms of the study using the data from Part 1

The probability that a person saw results and a power pill is 65%. The probability that the person was given the placebo and saw results is 45%. 65% of the people that were given the pill saw results, and 45% did not.

TASK 2 Part 3

What is the probability that a person received the placebo given that they did not see results?

61.111111%

What is the probability that a person received the power pill given that they did not see results?

38.88888%

Show your work and explain in terms of the study using the data from Part 1

PB- (5+6)/18 = 0.61 x 100

PP- (3+4)/18 = 0.38 x 100

Explanation:

User Assassinbeast
by
5.1k points
1 vote

Answer:

1) Each group is composed of 10 people. They either saw results or don't saw results.

saw results no results Total

A 6 4 10

B 7 3 10

C 5 5 10

D 4 6 10

Total 22 18 40

Probability of a group seeing results:

Group A: 6/10 = 0.6

Group B: 7/10 = 0.7

Group C: 5/10 = 0.5

Group D: 4/10 = 0.4

Probability of a group not seeing results:

Group A: 4/10 = 0.4

Group B: 3/10 = 0.3

Group C: 5/10 = 0.5

Group D: 6/10 = 0.6

2) Groups A and B received the Power Pill.

What is the probability that a person saw results, given they received the power pill?

(6+7)/20 = 0.65

Groups C and D received the placebo.

What is the probability that a person saw results, given they received a placebo?

(5+4)/20 = 0.45

3) What is the probability that a person received the placebo, given they did not see results?

(5+6)/18 = 0.61

What is the probability that a person received the power pill, given that they did not see results?

(3+4)/18 = 0.39

User MartinHN
by
5.0k points