# ACET (Actuarial Common Entrance Test) Statistics: Questions 190 - 195 of 201

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## Question number: 190

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MCQ▾

### Question

Three coins are tossed simultaneously. Consider the event E ‘three heads or three tails’, F ‘at least two heads’ and G ‘at most two heads’. Of the pairs and which are independent?

### Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 191

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MCQ▾

### Question

If the probability of a defective bolt is 1/10. Find the mean and standard deviation for the distribution in a total of 400.

### Choices

Choice (4)Response

a.

40,6

b.

50,40

c.

100,40

d.

40,36

## Question number: 192

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MCQ▾

### Question

While shuffling a pack of 52 playing cards, 2 are accidentally dropped. Find the probability that the missing cards are of different colours.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 193

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MCQ▾

### Question

For a bivariate data, you are given the following information:

Find the coefficient of correlation between X and Y series.

### Choices

Choice (4)Response

a.

0.8

b.

0.9

c.

0.723

d.

0.45

## Question number: 194

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MCQ▾

### Question

If X has poisson distribution with parameter and Find Given, .

### Choices

Choice (4)Response

a.

0.8120

b.

0.9120

c.

0.1988

d.

0.8012

## Question number: 195

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MCQ▾

### Question

Find the variance given the following probability distribution-

 X 0 1 2 3 P (X)

### Choices

Choice (4)Response

a.

b.

3

c.

d.

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