mustish1
asked on
Probability Distribution
Can you please tell me if my calculations are correct? Thanks.
a. Determine the probability that a randomly chosen student prefers Brand A.
P(Brand A) = 49
b. Determine the probability that one of the students prefers Brand A and is less than 18 years old.
P(Brand A and Age<18) = 7
c. Of those students who are less than 18 years old, calculate the probability that a randomly chosen student
prefers (1) Brand A and (2) Brand B.
P(Brand A if Age <18) = 7
P(Brand B if Age <18) = 5
P(Brand A if Age≥18) = 42
P(Brand B if Age≥18) = 42
d. Of those students who are at least 18 years old, calculate the probability that a randomly chosen student
prefers (1) Brand A and (2) Brand B.
P(Brand A if Age ≥18) = 42
P(Brand B if Age≥18) = 42
Sno Age Preference Sno Age Preference
1 16 Brand A 1 16 Brand B
2 16 Brand A 2 16 Brand B
3 16 Brand A 3 17 Brand B
4 16 Brand A 4 17 Brand B
5 16 Brand A 5 17 Brand B
6 16 Brand A 6 18 Brand B
7 17 Brand A 7 18 Brand B
8 18 Brand A 8 18 Brand B
9 18 Brand A 9 18 Brand B
10 18 Brand A 10 19 Brand B
11 19 Brand A 11 19 Brand B
12 19 Brand A 12 19 Brand B
13 19 Brand A 13 19 Brand B
14 19 Brand A 14 19 Brand B
15 19 Brand A 15 19 Brand B
16 19 Brand A 16 19 Brand B
17 19 Brand A 17 19 Brand B
18 19 Brand A 18 19 Brand B
19 20 Brand A 19 20 Brand B
20 20 Brand A 20 20 Brand B
21 20 Brand A 21 20 Brand B
22 20 Brand A 22 20 Brand B
23 20 Brand A 23 20 Brand B
24 20 Brand A 24 21 Brand B
25 20 Brand A 25 21 Brand B
26 20 Brand A 26 21 Brand B
27 20 Brand A 27 21 Brand B
28 21 Brand A 28 21 Brand B
29 21 Brand A 29 21 Brand B
30 21 Brand A 30 21 Brand B
31 21 Brand A 31 21 Brand B
32 21 Brand A 32 21 Brand B
33 21 Brand A 33 21 Brand B
34 21 Brand A 34 22 Brand B
35 21 Brand A 35 22 Brand B
36 22 Brand A 36 22 Brand B
37 22 Brand A 37 22 Brand B
38 22 Brand A 38 22 Brand B
39 22 Brand A 39 22 Brand B
40 22 Brand A 40 22 Brand B
41 22 Brand A 41 22 Brand B
42 23 Brand A 42 22 Brand B
43 23 Brand A 43 23 Brand B
44 24 Brand A 44 23 Brand B
45 24 Brand A 45 23 Brand B
46 24 Brand A 46 23 Brand B
47 24 Brand A 47 24 Brand B
48 24 Brand A 48 24 Brand B
49 24 Brand A 49 24 Brand B
a. Determine the probability that a randomly chosen student prefers Brand A.
P(Brand A) = 49
b. Determine the probability that one of the students prefers Brand A and is less than 18 years old.
P(Brand A and Age<18) = 7
c. Of those students who are less than 18 years old, calculate the probability that a randomly chosen student
prefers (1) Brand A and (2) Brand B.
P(Brand A if Age <18) = 7
P(Brand B if Age <18) = 5
P(Brand A if Age≥18) = 42
P(Brand B if Age≥18) = 42
d. Of those students who are at least 18 years old, calculate the probability that a randomly chosen student
prefers (1) Brand A and (2) Brand B.
P(Brand A if Age ≥18) = 42
P(Brand B if Age≥18) = 42
Sno Age Preference Sno Age Preference
1 16 Brand A 1 16 Brand B
2 16 Brand A 2 16 Brand B
3 16 Brand A 3 17 Brand B
4 16 Brand A 4 17 Brand B
5 16 Brand A 5 17 Brand B
6 16 Brand A 6 18 Brand B
7 17 Brand A 7 18 Brand B
8 18 Brand A 8 18 Brand B
9 18 Brand A 9 18 Brand B
10 18 Brand A 10 19 Brand B
11 19 Brand A 11 19 Brand B
12 19 Brand A 12 19 Brand B
13 19 Brand A 13 19 Brand B
14 19 Brand A 14 19 Brand B
15 19 Brand A 15 19 Brand B
16 19 Brand A 16 19 Brand B
17 19 Brand A 17 19 Brand B
18 19 Brand A 18 19 Brand B
19 20 Brand A 19 20 Brand B
20 20 Brand A 20 20 Brand B
21 20 Brand A 21 20 Brand B
22 20 Brand A 22 20 Brand B
23 20 Brand A 23 20 Brand B
24 20 Brand A 24 21 Brand B
25 20 Brand A 25 21 Brand B
26 20 Brand A 26 21 Brand B
27 20 Brand A 27 21 Brand B
28 21 Brand A 28 21 Brand B
29 21 Brand A 29 21 Brand B
30 21 Brand A 30 21 Brand B
31 21 Brand A 31 21 Brand B
32 21 Brand A 32 21 Brand B
33 21 Brand A 33 21 Brand B
34 21 Brand A 34 22 Brand B
35 21 Brand A 35 22 Brand B
36 22 Brand A 36 22 Brand B
37 22 Brand A 37 22 Brand B
38 22 Brand A 38 22 Brand B
39 22 Brand A 39 22 Brand B
40 22 Brand A 40 22 Brand B
41 22 Brand A 41 22 Brand B
42 23 Brand A 42 22 Brand B
43 23 Brand A 43 23 Brand B
44 24 Brand A 44 23 Brand B
45 24 Brand A 45 23 Brand B
46 24 Brand A 46 23 Brand B
47 24 Brand A 47 24 Brand B
48 24 Brand A 48 24 Brand B
49 24 Brand A 49 24 Brand B
ASKER
I just count them based on the equation. I dont know how to i shows them in 1 and 0 form.
P(Brand A if Age <18) = 7
P(Brand B if Age <18) = 5
P(Brand A if Age≥18) = 42
P(Brand B if Age≥18) = 42
P(Brand A if Age <18) = 7
P(Brand B if Age <18) = 5
P(Brand A if Age≥18) = 42
P(Brand B if Age≥18) = 42
ASKER CERTIFIED SOLUTION
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ASKER
Thanks.
ASKER
I MA NOT SURE IF THIS IS CORRECT?
P(Brand A if Age≥18) = 42 / 49
P(Brand B if Age≥18) = 42 / 49
d. Of those students who are at least 18 years old, calculate the probability that a randomly chosen student
prefers (1) Brand A and (2) Brand B.
P(Brand A if Age ≥18) = 42 /98
P(Brand B if Age≥18) = 42 / 98
P(Brand A if Age≥18) = 42 / 49
P(Brand B if Age≥18) = 42 / 49
d. Of those students who are at least 18 years old, calculate the probability that a randomly chosen student
prefers (1) Brand A and (2) Brand B.
P(Brand A if Age ≥18) = 42 /98
P(Brand B if Age≥18) = 42 / 98
therefore, without even looking at your math
all of your results should be immediately obvious as incorrect.
you could alternatively report them as percentages which then implies a 100 divisor.