Question # 1

When we draw the sample with replacement (the first sample is replaced before the next draw), the probability distribution to be used is:

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Binomial

Hypergeometric

Both Binomial & hypergeometric

None of these

For a binomial probability distribution:

n = 10 & the probability of failure (q =0.6), then mean of the distribution is .

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0.6

6.0

10

4

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

If X and Y are random varaibes, than E ( X - Y) is equal to.

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E(X) + E (Y)

E(X) - E(Y)

X - E (Y)

E(X) - Y

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

When X denotes the number of success in binomial experiment, it is called.

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Random variable

Binomial random variable

Continuous random variable

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

The binomial distribution deal with:

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Discrete variable

Continuous variable

None of these

The number of possible outcomes in Bernoulli trial is

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Three

Four

Two

One

Variance of binomial distribution is

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np

√npq

npq

nq

In hypergeometric distribution, the successive trials are.

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Dependent

Independent

Both (A) & (B)

None of these

If X and Y are independent random variables , the E (XY) is equal to.

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E(XY)

E(X) E(Y)

XE(Y)

YE(X)

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

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One

Two

Three

Four

Its value cannot be exactly examined.

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Ranodm variable

Fixed varaible

Mathematical variable

Variable

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

Probility density function is the probebilyt function of.............. random variable.

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Discrete

Qualitative

Continuous

None

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

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1/3

1/6

the discrete probability distributio may be represented by.

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A table

A graph

A mathematical equation

All of these

The parameters of the binomial distributions are

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x and n

x and p

p and q

n and p

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