Mathematics - Online Test
Q1.
Answer : Option D
Explaination / Solution:
Let are events of selection of a hostlier and a day scholar respectively.
Let A = event of getting grade A.
Let A = event of getting grade A.
Q2. Two functions and g : are defined as follows :
then (gof)(e) + (fog)( ) =
Answer : Option D
Explaination / Solution:
No Explaination.
Q3. In answering a question on a multiple choice test, a student either knows the answer or guesses. Let be the probability that he knows the answer and be the probability that he guesses. Assuming that a student who guesses at the answer will be correct with probability . What is the probability that the student knows the answer given that he answered it correctly?
Answer : Option B
Explaination / Solution:
Let are events that the student knows the answer and the student guesses respectively.
Q4. Let function f : R R be defined by f (x )= 2x + sin x for x R. Then f is
Answer : Option C
Explaination / Solution:
No Explaination.
Q5. A laboratory blood test is 99% effective in detecting a certain disease when it is in fact, present. However, the test also yields a false positive result for 0.5% of the healthy person tested (i.e. if a healthy person is tested, then, with probability 0.005, the test will imply he has the disease). If 0.1 percent of the population actually has the disease, what is the probability that a person has the disease given that his test result is positive?
Answer : Option A
Explaination / Solution:
Let
are events that a person has disease and the person has not disease. .
Let A = event that the test result is positive.
are events that a person has disease and the person has not disease. .
Let A = event that the test result is positive.
Q6. Coefficient of in the expansion of tan x is
Answer : Option C
Explaination / Solution:
No Explaination.
Q7. A random variable is a real valued function whose domain is the.
Answer : Option B
Explaination / Solution:
A random variable is a real valued function whose domain is the sample space of a random experiment .
Q8. If f(x) = then (fof) (2) is equal to
Answer : Option C
Explaination / Solution:
No Explaination.
Q9. Let X be a random variable assuming values x1, x2,....,xn with probabilities p1, p2, ...,pn, respectively such that pi ≥ 0,. Mean of X denoted by is defined as
Answer : Option B
Explaination / Solution:
Let X be a random variable assuming values x1, x2,....,xn with probabilities p1, p2, ...,pn, respectively such that pi ≥ 0,. Mean of X denoted by is defined as: .
Q10. If then f (x) is
Answer : Option D
Explaination / Solution:
No Explaination.
