ACET (Actuarial Common Entrance Test) Statistics: Questions 25 - 32 of 201
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Question number: 25
Question
Weakly pocket money of 6 students are noted as:
₹80, ₹70, ₹90, ₹100, ₹500, ₹50. Find out range.
Choices
| Choice (4) | Response | |
|---|---|---|
a. | ₹ 30 | |
b. | ₹ 450 | |
c. | ₹ 100 | |
d. | ₹ 400 | |
Question number: 26
» Probabilities » Conditional Probabilities
Question
Given , . Find
Choices
| Choice (4) | Response | |
|---|---|---|
a. | 0.74 | |
b. | 0.90 | |
c. | 0.90 | |
d. | 0.16 | |
Question number: 27
Question
If , find .
Choices
| Choice (4) | Response | |
|---|---|---|
a. | 17 | |
b. | 8 | |
c. | 9 | |
d. | 1 | |
Question number: 28
» Probabilities » Bayes Theorem
Question
Given, = 0.67, Find
Choices
| Choice (4) | Response | |
|---|---|---|
a. | 0.60 | |
b. | 0.24 | |
c. | 0.25 | |
d. | 0.67 | |
Question number: 29
Question
The arithmetic mean of is 6. The value of X is
Choices
| Choice (4) | Response | |
|---|---|---|
a. | 10 | |
b. | 11 | |
c. | 12 | |
d. | Question does not provide sufficient data or is vague | |
Question number: 30
» Correlation and Regression » Correlation Coefficient
Question
The standard deviation of X and Y are 4 and 5 respectively. The correlation coefficient between them is 0.8. Find the regression coefficient of Y on X.
Choices
| Choice (4) | Response | |
|---|---|---|
a. |
| |
b. |
| |
c. |
| |
d. | 1 | |
Question number: 31
» Continuous Random Variables » Standard Deviation
Question
Which of the following methods uses covariance in calculating correlation coefficient?
Choices
| Choice (4) | Response | |
|---|---|---|
a. | Spearman’s Rank Correlation | |
b. | Concurrent Deviation | |
c. | Karl Pearson’s Coefficient of Correlation | |
d. | Question does not provide sufficient data or is vague | |
Question number: 32
» Probabilities » Conditional Probabilities
Question
The probability that a student will pass the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing at least one of them is 0.95. What is the probability of his passing both the examinations?
Choices
| Choice (4) | Response | |
|---|---|---|
a. | 0.55 | |
b. | 0.42 | |
c. | 1 | |
d. | 0.63 | |