Probability [ISS (Statistical Services) Statistics Paper I]: Questions 50 - 55 of 212
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Question 50
Question MCQ▾
The characteristic function of standard Laplace distribution is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 51
Question MCQ▾
Suppose that and are independent random variables for an experiment, and that Negative Binomial distribution and Negative Binomial distribution . Then
Choices
Choice (4) | Response | |
---|---|---|
a. | Binomial distribution | |
b. | Negative Binomial distribution | |
c. | Negative Binomial distribution | |
d. | None of the above |
Question 52
Question MCQ▾
Which of the following statement is correct regarding the pdf of standard Cauchy distribution?
Choices
Choice (4) | Response | |
---|---|---|
a. | It increases and then decreases, with mean . | |
b. | It is concave upward, then downward, and then upward again, with inflection points at . | |
c. | It is symmetric about its mean. | |
d. | None of the above |
Question 53
Question MCQ▾
If are i. i. d with standard normal distributions, the value of so that the random variable has a t-distribution is________.
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | All of the above |
Question 54
Question MCQ▾
The moment generating function of standard Laplace distribution is ________,
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 55
Question MCQ▾
The ratio of boys to girls at birth in Malda is at 1.05: 1. What proportion of Malda families with exactly 4 children will have exactly 2 boys? (Ignore the probability of multiple births.)
Choices
Choice (4) | Response | |
---|---|---|
a. | 0.5324 | |
b. | 0.4266 | |
c. | 0.2788 | |
d. | 0.3745 |