Question

21. If standard deviation of a poisson distribution is 2, then its

(a) mode is 2

(b) Mode is 4

(c) Modes are 3 and 4

(d) Modes are 4 and 5​

Answer 1

Answer:

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Step-by-step explanation:

Step-by-step explanation: Since Poisson distribution is a discrete distribution, therefore it takes discrete values of 0, 1, 2, 3,4, and 5 Therefore, 1.5 < X < 2.9 means X takes value 2

Answer 2

(a) mode is 2

GIVEN: standard deviation of a Poisson distribution is 2
TO FIND Mode for the given deviation.
SOLUTION: As we are given,

Poisson Distribution is a discrete distribution.

Therefore, it can take only discrete values like 1, 2,3, 4, and so on.

As we know,

Mode is the value of the presented terms or that element of the given data that occurs most of the time.

The value in the distribution occurs the maximum times in the given series of data.

And since
1.5 < X < 2.9

Therefore, x can take only one value which is 2.

The mode for the given distribution is 2.

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