ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 251 - 255 of 472
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Question number: 251
» Probability » Probability Distributions » Cauchy
Question
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 number: 252
» Probability » Probability Distributions » Normal
Question
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 number: 253
» Probability » Probability Distributions » Laplace
Question
The moment generating function of standard Laplace distribution is ________,
Choices
| Choice (4) | Response | |
|---|---|---|
a. |
| |
b. |
| |
c. |
| |
d. |
| |
Question number: 254
» Probability » Probability Distributions » Binomial
Question
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 | |
Question number: 255
» Probability » Probability Distributions » Binomial
Question
Hospital records show that of patients suffering from a certain disease, 85 % die of it. What is the probability that of 5 randomly selected patients, 4 will recover?
Choices
| Choice (4) | Response | |
|---|---|---|
a. | 0.0021 | |
b. | 0.0454 | |
c. | 0.0254 | |
d. | All of the above | |