Question # 1

A fair die is rolled three times. The probability of getting three "aces" is

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1/3

1/6

Random number can be generated manully by

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Dawing cards from numbered cards

Roitaing or spinning numbered wheels

Use of random numbers table

All of these

The binomial distribution has the following parameters.

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p & q

n & q

n, p & q

None of these

A fair coin is tossed four times the probability of getting four heads is

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1/4

1/2

4/6

1

If C is a non -random variabe than E (C) is.

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c

0

1

x

If the random variable X denotes the number of heads when three distinet coins are tossed,then X assumes the value.

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0.1.2.3

1,3,3,1

1,2,3

None of these

Variance of binomial distribution is

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np

√npq

npq

nq

Binomial distribution is positively skewed

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P < 1/2

P > 1/2

P = 1/2

P < q < ¹/₂

The repeated trials of binomial experiments are

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Dependent

Independent

Fixed

Variable

Which of the following case is true for hypergeometric distribution.

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Probability remains constant for all trials

Probability changes

successive trials are dependent

Both (B) and (C) but not (A)

In binomial experiment successive trials are:

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Dependent

Independent

May be independent or dependent

None of these

In binomial distribution, the random variable has a range:

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0,1,2...................n

0,1,2,......+∞

-∞ to +∞

∞ to +0

The probability of even/odd number when a fair die rolled is:

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1/6

2/6

1/36

3/6

If (E(X) = E than find arithmetic means will be.

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1

4

0

8

An expected value of a random variable is equal to its.

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Variance

B.D.

Mean

Co - Variance

The hypergeometric distribution has -------------- parameters

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One

Two

Three

Four

The parameters of hypergeometric distribution are:

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n,k & p

n, k & q

n, p & q

n, k & N

The probability of success changes from trial to trial, is the property of:

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Binomial experiment

Hypergeometric experiment

Both A and B

None of these

if X and Y are independent random varaibesl the S.D. (X-Y) is equal to

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Var (X) - var (Y)

Var (X) + Var (Y)

E(X-Y)2

E(X + Y)2

Which of the following is true for binomial distribution

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Mean > variance

Mean < variance

Mean = variance

Mean + standard deviation

Binomial distribution is used when n is

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Large

Small

Negative

Zero

Which of the following distribution(s) has 3 parameters.

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Binomial distribution

Hypergeometric distribution

Both of the above

None of these

If we do not replace the draw cards back into the pack before the next draw, the used probability distribution will be:

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Binomial

Hypergeometric

Both binomial & hypergeometric

None of these

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