Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 106 - 108 of 205

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 404 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 300.00 or

Question number: 106

» Probability » Probability Distributions » Geometric

MCQ▾

Question

Let X be a discrete random variable with the geometric distribution with parameter pandq=1p . Then the Probability Generating Function of Geometric Distribution will be ________.

Choices

Choice (4) Response
a.

πX(s)=p1qs

b.

πX(s)=q1ps

c.

πX(s)=qs1ps

d. None of the above

Question number: 107

» Probability » Probability Distributions » Exponential

MCQ▾

Question

Suppose that the amount of time one spends in a bank is exponentially distributed mean 10 minutes, λ=110 . What is the probability that a customer will spend more than 15 minutes in the bank given that he is still in the bank after 10 minutes?

Choices

Choice (4) Response
a.

0.50

b.

0.604

c.

0.314

d. None of the above

Question number: 108

» Probability » Modes of Convergences of Sequences of Random Variables » In Distribution

MCQ▾

Question

Suppose that Xn has the discrete uniform distribution on {1n,2n,,n1n,1} for each nN+ and let fn denote the probability density function of Xn. Let X have the continuous uniform distribution on the interval [0, 1] . Then which of the following is correct option?

Choices

Choice (4) Response
a.

P(XnQ)=1 for each n but P(XQ)=0

b.

The distribution of Xn converges to the distribution of X as n

c.

fn(x)0 as n for all x[0, 1]

d. All a. , b. and c. are correct

Sign In