Bernoulli Distribution with Example || Lesson 51 || Probability & Statistics || Learning Monkey ||

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Bernoulli Distribution with Example
In this class, We discuss Bernoulli Distribution with Example.
The reader should have prior knowledge of probability distributions. Click Here.
Bernoulli Distribution:
Bernoulli distribution is a discrete probability distribution with only two possible outcomes.
One outcome we call success or 1
Another outcome is Failure or 0
Example:
Toss a coin.
The outcomes are head or tail.
Head is considered a success.
Tail is considered a Failure.
Important: Roll a dice is considered as bernoulli distibution.
Outcome 6 is considered a success.
The other outcomes are considered Failure.
Bernoulli probability distribution table:
Toss a coin.
Success = head
The below table shows the probability distribution.
Roll a dice.
success = 6
Failure = 1, 2, 3, 4, 5.
The below table shows the probability distribution.
Bernoulli probability distribution graph
The below diagram shows the probability distribution graph for rolling dice.
On the X-axis, we take 0 and 1.
On the Y-axis, we take the probability values.
If P(success) = p for a bernoulli distribution then P(Failure) = 1-p.
Probability Mass Function for Bernoulli Distribution:
PMF = Px(1-P)1-x
PMF = f(x)
Why the above PMF?
f(0) = 1-P
f(1) = P
Expected value of Bernoulli distribution.
E(X) = all x Σ xf(x)
= 0(1-P) + 1(P)
= P
Variance of Bernoulli Distribution:
Variance = E(X2) - (E(X))2
= P - P2
= P(1-P)
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Пікірлер: 37

@unkown4389 Жыл бұрын

Waahh wow what an explanation sir thank you❤

@TravellingDon Жыл бұрын

Just what I was looking for , thank you.

@Explore-earth-h7x Жыл бұрын

Statement: If the probability of occurrence of an event (probability of success) in a single trial of Bernoulli's experiment is p, then the probability that the event occurs exactly r times out of n independent trials is equal to nCr qn - r pr, where q = 1 - p, the probability of failure of the event.

@save_two_stocks 5 ай бұрын

Thank you so much 🎉

@LearningMonkey 5 ай бұрын

Have a great learning in CSE

@harshanandshekhar 3 ай бұрын

Sab kuchh thik tha pr suru ka rington Kan dukh gya

@YaweVeronPius 5 күн бұрын

Great 👍

@LearningMonkey 5 күн бұрын

Have a great learning in CSE

@HITD47 Жыл бұрын

clearly explained than any English tutor. Thanks man

@florentinosanchez3969 5 ай бұрын

Very nice explanations

@aishamadaki5543 Жыл бұрын

Suppose that a game is played with a single die assumed fair. In this game a player wins 20$ if a 2 turns up, 40$ if a 4 turn up, losses a 60$ if a 6 turns up. While he neither wins nor losses of any other face turns up. Find the probability density function?

@aishamadaki5543 Жыл бұрын

Please interpret this question. Thank you

@LearningMonkey Жыл бұрын

Probability to show 6 is 1/6 and amount is -60 Probability to show 2 is 1/6 and amount is 20 Probability to show 4 is 1/6 and amount is 40 Remaining possibilities 3/6 and amount is 0