Types of distribution

Question 1

What is poisson distribution?

Answer 1

• is applicable in situations where random “events” occur at a certain rate (λ) over a period of time.
• used to calculate the probability of an event occurring over a certain interval.

Question 2

What are the assumptions required for poisson distribution?

Answer 2

• The number of events that occur in any time interval is independent of the number of events in any other disjoint interval.
• The distribution of number of events in an interval is the same
  for all intervals of the same size.
• For a “small” time interval, the probability of observing an
  event is proportional to the length of the interval. The proportionality constant corresponds to the “rate” at which events occur.
• The probability of observing two or more events in an interval
  approaches zero as the interval becomes smaller.

Question 3

What is uniform distribution?

Answer 3

refers to a probability distribution where every value within a certain range has an equal probability of occurring. This means that each possible outcome is equally likely.

Question 4

Mean formula in binomial distribution

Answer 4

E(x)= np

Question 5

Variance in binomial distribution

Answer 5

V(x)= npq

Question 6

Mean and variance in poisson distribution

Answer 6

all are qual to lambda, that is the rate

Question 7

What is the pdf for uniform distribution?

Answer 7

f(x) = 1/ b-a

Question 8

Mean in continuous uniform distribution

Answer 8

E(x) = b + a / 2

Question 9

Variance in continuous uniform distribution

Answer 9

V(x) = (b - a)^2 / 12

Question 10

Mean in discrete uniform distribution

Answer 10

E(x) = N + 1 / 2

Question 11

Variance in discrete uniform distribution

Answer 11

V(x) = N^2 - 1 / 2