Answer:
the answer is 251/723
Step-by-step explanation:
just took the test and also its asking for the (midwest farmer vegetables) so youd look at midwest and find the vegetable row and it would be 251 then since its asking for only vegetables you'd go across the row and locate the total vegetables which is 723. THE A OPTION IS MISTYPED ITS 251/723.
The value of P(V|M) is 251/365.
The correct answer is option (D)
"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes,
n(S) is the total number of events in the sample space.
"It is the probability of an event occurring given that another event has already occurred."
The probability of event A occurring given that event B has already occurred is,
P(A|B) = P(A ∩ B)/P(B)
where, P(A ∩ B) the joint probability of events A and B
For given example,
n(S) = 1477
Event M = farmer lives in the Midwest
⇒ n(M) = 365
So, the probability of farmer lives in the Midwest would be,
⇒ P(M) = n(M)/n(S)
⇒ P(M) = 365/1477
And event V = farmer grows vegetables.
⇒ n(V) = 723
The probability of farmer grows vegetable would be,
⇒ P(V) = n(V)/n(S)
⇒ P(V) = 723/1477
The number of farmers who grows vegetables and lives in the Midwest are,
n(A ∩ B) = 251
So, the probability that the farmers grow vegetables and live in the Midwest would,
⇒ P(M ∩ V) = n(A ∩ B)/n(S)
⇒ P(M ∩ V) = 251 / 1477
Now, we need to find P(V|M).
Using the formula of conditional probability,
⇒ P(V|M) = P(M ∩ V) / P(M)
⇒ P(V|M) = (251/1477) / (365/1477)
⇒ P(V|M) = 251/365
The correct answer is option (D)
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
