distribution - stats

Question 1

when to use binomial distribution

Answer 1

• when there are a fixed number of trials
• when there are two outcomes, success or failure
• there is a fixed /constant probability of success
• the trials are independent of each other

Question 2

what do the variables in the binomial distribution represent

Answer 2

X ~ B(n,p)
~ means distributed
B means binomially
n is how many times the game is played
p is the success probability

Question 3

when does coding affect standard deviation and variance

Answer 3

when the coding involves multiplication or division

Question 4

whats ur called when each outcome has equal probability

Answer 4

discrete uniform distribution

Question 5

when to use normal distribution

Answer 5

Symmetrical data:

Single peak (unimodal):
The distribution should have one clear peak or mode.

Continuous data:
While some discrete variables can be approximated by a normal distribution, it’s most appropriate for continuous variables that can take on any value within a range.

Large sample sizes:
The larger the sample size, the more likely the distribution will approximate a normal distribution, especially for variables that are not perfectly normally distributed.

Question 6

why cant we rule out probabilities of events in normal distribution

Answer 6

The tails of a Normal distribution are infinite.

Cannot rule out extreme events

Question 7

what is a hypothesis test

Answer 7

A hypothesis test is a statistical test that is used to determine whether there is enough evidence in a sample of datato infer that a certain condition is true for the entire population