Question

80% of English teachers read Shakespeare.You see someone reading Shakespeare. What is the probability that this person is an English teacher? (Also: 3% of the workforce are English teachers. If you are not an English teacher, there is a 10% chance that you read Shakespeare.) Group of answer choices.
a. 80.
b. 20.
c. 024.
d. 14

Answer 1

Answer:

20%

Step-by-step explanation:

P(S) = (0.03×0.8) + (0.97×0.1)

0.121

P(E/S) = P(E&S)/P(S)

= (0.03×0.8)/0.121

= 24/121

0.1983471074 × 100

= 19.83471074%

Answer 2

The probability that this person is an English teacher will be "0.20".

According to the question,

P (English teacher),

• = 3% or 0.03

So,

P(Not English teacher),

• = $1-0.03$

        = $0.97$

P(Shakespeare | English teacher),

• = 80% or 0.80

P(Shakespeare | Not English teacher),

• = 10% or 0.10

Hence,

By using the Bayes' theorem, we get

= $\frac{0.03\times 0.80}{0.03\times 0.80+0.97\times 0.10}$

= $\frac{0.024}{0.024+0.097}$

= $\frac{0.024}{0.121}$

= $0.20$

Thus the above answer is correct.

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