Mathematics - Online Test
Q1.
Given that the events A and B are such that P(A) =, P (A ∪ B) = and P(B) = p. Find p if A and B are mutually exclusive
Answer : Option A
Explaination / Solution:
Since A and B are mutually exclusive events.,
Q2. The function sin is periodic with period
Answer : Option A
Explaination / Solution:
No Explaination.
Q3.
Given that the events A and B are such that P(A) =, P (A ∪ B) = and P(B) = p. Find p if they independent.
Answer : Option D
Explaination / Solution:
Q4.
If A = [a, b], B = [c,d], C = [d, e] then {(a, c), (a, d), (a,e), (b,c), (b, d), (b, e)} is equal to
Answer : Option C
Explaination / Solution:
No Explaination.
Q5. Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4. Find P(A ∩ B)
Answer : Option B
Explaination / Solution:
Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4
Q6. The function f(x) = from R to [0, ) is
Answer : Option D
Explaination / Solution:
No Explaination.
Q7. Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4.Find P(A ∪ B)
Answer : Option C
Explaination / Solution:
Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4
Since the events are independent, P(AB) = P(A).P(B)
ThereforeP(AB) = P(A) + P(B)
= 0.3 + 0.4 - 0.12 = 0.58
Q8. For all x ∈ (0, 1)
Answer : Option A
Explaination / Solution:
No Explaination.
Q9. Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4.Find P (A|B)
Answer : Option C
Explaination / Solution:
Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4 P(A/B)=P(A)=0.3.
Q10.
The domain of the function
Answer : Option A
Explaination / Solution:
No Explaination.
