Blood Type/оВАВTotalGenderT1T2ТзT4Female115253519194S1Male14175401511S2Total190655030335a. Complete the table by filling in the correct values in the total column and total rowb. If a person is selected at random from this sample, calculate P(T1IS1)(This means the person has Type O blood given that the person is Female)c. If a person is selected at random from this sample, calculate P(S1T1)d. If a person is selected at random from this sample, calculate P(T1 and S.)

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Asked Oct 19, 2019
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I need help understanding how to solve b-d. I'm confused as to how they equal different solutions.

Blood Type/
о
В
АВ
Total
Gender
T1
T2
Тз
T4
Female
115
25
35
19
194
S1
Male
141
75
40
15
11
S2
Total
190
65
50
30
335
a. Complete the table by filling in the correct values in the total column and total row
b. If a person is selected at random from this sample, calculate P(T1IS1)
(This means the person has Type O blood given that the person is Female)
c. If a person is selected at random from this sample, calculate P(S1T1)
d. If a person is selected at random from this sample, calculate P(T1 and S.)
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Blood Type/ о В АВ Total Gender T1 T2 Тз T4 Female 115 25 35 19 194 S1 Male 141 75 40 15 11 S2 Total 190 65 50 30 335 a. Complete the table by filling in the correct values in the total column and total row b. If a person is selected at random from this sample, calculate P(T1IS1) (This means the person has Type O blood given that the person is Female) c. If a person is selected at random from this sample, calculate P(S1T1) d. If a person is selected at random from this sample, calculate P(T1 and S.)

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Step 1

b.

Here the total number of persons belongs to S1, n(S1) is 194.

The total number of persons who belongs T1 and S1, n(T1 and S1) is 115.

The probability that the randomly selected person belongs T1 given S1 can be calculated as follows.

n(7 and S)
P( S)
115
194
0.5928
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n(7 and S) P( S) 115 194 0.5928

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Step 2

c.

Here the total number of persons belongs to S1, n(T1) is 190.

The total number of persons who belongs T1 and S1, n(T1 and S1) is 115.

The probability ...

n(S, and T,)
P(S, | T)
115
190
0.6053
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n(S, and T,) P(S, | T) 115 190 0.6053

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