ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 236 - 239 of 461
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Question number: 236
» Probability » Probability Distributions » Exponential
Question
Suppose that the lifetime of a bulb is modeled by an exponential distribution with (unknown) parameter λ. We test 5 bulbs and find they have lifetimes of 2,3, 1,3, and 4 years, respectively. What is the MLE for λ?
Choices
| Choice (4) | Response | |
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| a. |
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| b. |
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| c. |
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| d. | None of the above |
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Question number: 237
» Probability » Bayes' Theorem and Applications
Question
Most (70%) of the taxis in Rajkot are green, with the rest (30%) being yellow. In a traffic accident involving a hit-and-run taxi, a witness claims the taxi was yellow. Careful testing shows that the witness can successfully identify the color of a taxi only 75 % of the time due to bad eyesight. On the balance of probabilities, should we hold Yellow Taxi Company liable?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | Information insufficient. |
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| b. | Yellow taxi Company should not be held liable. |
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| c. | Yellow taxi Company should be held liable. |
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| d. | Can’t make any claim. |
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Question number: 238
» Probability » Probability Distributions » Cauchy
Question
If has the standard Cauchy distribution, then will follow________.
Choices
| Choice (4) | Response | |
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| a. | A Student t distribution with 2 degree of freedom. |
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| b. | A Chi-square distribution. |
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| c. | A Laplace distribution. |
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| d. | None of the above |
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Question number: 239
» Probability » Probability Distributions » Poisson
Question
Which of the following statement is/are false regarding following curve?
Which is a Correct Statement Regarding the Given Curves
Find the correct statement as regards to these curves.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | D have smallest value of λ. |
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| b. | All can follow Poisson distribution. |
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| c. | A have smallest value of λ. |
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| d. | All of the above |
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