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What is Normal Distribution?

Important Questions on Representation

MEDIUM

Mathematics>Statistics and Probability>Representation>Normal Distribution

For probability density function of a normal distribution

f (x) = \sqrt{\frac{2}{π}} e^{- 2 {(x - 3)}^{2}}

, the value of mean and standard deviation will be

EASY

Mathematics>Statistics and Probability>Representation>Normal Distribution

If the mean of a data

\bar{x}

10

and if all the observations are multiplied by

2

, then the mean of new data is

HARD

Mathematics>Statistics and Probability>Representation>Normal Distribution

If the height of the

300

students is normally distributed with mean

64.5

inches and standard deviation

3.3

inches, find the height below which

99 %

of the students lie

(P [0 < z < 2.33] = 0.49)

MEDIUM

Mathematics>Statistics and Probability>Representation>Normal Distribution

For a normal curve, the greatest ordinate is

MEDIUM

Mathematics>Statistics and Probability>Representation>Normal Distribution

In normal distribution what is the ratio of

QD : MD : SD

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Mathematics>Statistics and Probability>Representation>Normal Distribution

The p. d. f. of a random variable

x

is given by

f (x) = \{\begin{cases} \frac{1}{4 a}, (a > 0) & 0 < x < 4 a, \\ 0, & Otherwise \end{cases}

and

P (x < \frac{3 a}{2}) = k P (x > \frac{5 a}{2})

then

k = \dots \dots

MEDIUM

Mathematics>Statistics and Probability>Representation>Normal Distribution

Which of the following is not true regarding the normal distribution?

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Mathematics>Statistics and Probability>Representation>Normal Distribution

If we change the parameter (s) of a ________ distribution the Sharpe of probability curve does not change.

MEDIUM

Mathematics>Statistics and Probability>Representation>Normal Distribution

For a certain type of mobiles, the length of time between charges of the battery is normally distributed with a mean of

50

hours and a standard deviation of

15

hours. A person owns one of these mobiles and wants to know the probability that the length of time will be between

50

and

70

hours is (Given

ϕ (1.33) = 0.9082, ϕ (0) = 0.5

)

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Mathematics>Statistics and Probability>Representation>Normal Distribution

In normal distribution, mean, median and mode are

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Mathematics>Statistics and Probability>Representation>Normal Distribution

Area covered normal curve by

(μ \pm 3 σ)

is ______.

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Mathematics>Statistics and Probability>Representation>Normal Distribution

The quartile deviation of a normal distribution with mean

10

and standard deviation

4

is __________

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Mathematics>Statistics and Probability>Representation>Normal Distribution

For a Normal distribution, the total area under the normal curve is

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Mathematics>Statistics and Probability>Representation>Normal Distribution

In Normal distribution mean, median and mode are

HARD

Mathematics>Statistics and Probability>Representation>Normal Distribution

X

and

Y

are

2

independent normal variables with mean as

10

and

12

and SD as

3

and

4

, then

(X + Y)

is normally distributed with

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Mathematics>Statistics and Probability>Representation>Normal Distribution

Probability distribution may be

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Mathematics>Statistics and Probability>Representation>Normal Distribution

For continuous events

_____

distribution is used.

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Mathematics>Statistics and Probability>Representation>Normal Distribution

The curve of

_____

distribution is unimodal and bell shaped with the highest point over the mean

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Mathematics>Statistics and Probability>Representation>Normal Distribution

An important discrete probability distribution is

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Mathematics>Statistics and Probability>Representation>Normal Distribution

An important continuous probability distribution

What is Normal Distribution?

Important Questions on Representation

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