In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent yes/no experiments, each of which yields success with probability p. (Def: http://en.m.wikipedia.org/wiki/Binomial_distribution)
Questions tagged [binomial-distribution]
2213 questions
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How can I get N trials from binomial distribution (Edited)
$$
\sum_{k=0}^{17}{_NC_k}\times 0.1^k\times 0.9^{N-k}<0.004
$$
How can I get a $N$ from above inequality?
baeharam
- 203
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How can I get $N$ trials from binomial distribution?
$$
\sum_{k=1}^{15}{_NC_k}\times(0.1)^k\times (0.9)^{N-k} > 0.9996
$$
Is there a way to get $N$ from this? I was looking for a lots of materials but I couldn't find.
baeharam
- 203
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What would be the value of p in the following question?
A producer assigns three roles to 20 actors. Roles were younger boy, old man and disable man. Find probability that 2 or more actors perform old man in the film.
P(X > 2) = ?
P(X > 2) = 1 - [P(X = 1) + P(X = 0)]
P(X > 2) = 1 - P(X = 1) - P(X =…
Student28
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Solving for number of trials for a given probability
How to solve for the smallest $n$ such that $$1- 0.999^{n}-n\cdot0.001\cdot 0.999^{n-1}\geq 0.95$$
Sahin
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Binomial Distribution Probability Problem
We have two random variables $X$ and $Y$ both of them follows Binomial Distribution with parameters $n$ and $0.5$. Consider, another random variables, $Z$ which is also Binomial Distribution with parameters $2n$ and $0.5$.
Then, represent the…
userNoOne
- 1,204
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Bernoulli trials total probability
Let X be a binomial random variable with parameters $n = 6$ and $p = 0.4$. We have
$P(X=0)=0.0467$
$P(X=1)=0.1866$
$P(X=2)=0.3110$
$P(X=2)=0.2765$
$P(X=2)=0.1382$
$P(X=2)=0.0369$
$P(X=6)=0.0041$
Why is $P(X=6)$ $\neq$ $1-P(X=0)$?
Say we have a…
user11206
- 105
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Using Binomial Distribution to Find the Probability of Two of the Same evnts ocurring
I am doing a Binomial distribution question, in which I have been asked to find the probabability of the same events happening. I know that the probability of the event is 1/3, the number of trials is 20.
I have been asked to find the probability of…
Beerus
- 1
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Calculate like DISTRIB.BINOM
I have a formula in excel :
=1-DISTRIB.BINOM( 7;10; 0.5; 1 )
Result : 0,0546875
is possibile to calculate manually? how?
Geme
- 111
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Discrete Probability Distribution
Alice has noticed that the probability of any browsing customers eventually buying sth in the store is 18%, assume that the decisions of buying are independent of one another. Thus, what is the expected number of browsing customers who would buy sth…
AllanTyler
- 11
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Multiplying binomial distributions
Suppose I have X ∼ Bin(1,p). Is the distribution of X^2 the same as X?
I know that X+X ∼ Bin(1+1,p), which would lead me to the (probably incorrect) assertion that X^2 ∼ Bin(1*1,p).
I also know that if for Bin(n,p), where n = 1, then only one trial…
pajkatt
- 373
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1 answer
binomial distribution questions
I am stuck on the following question and am not sure where to go from what I have currently done.
Donald Trump has gone moose hunting. When he fires his gun at a moose he scores a hit with a probability of 0.8. On a typical hunt, he will fire his…
guala
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How to find n in Binom. distr?
In Restaurant Bijoux 13% of customers rated the food as ‘poor’, 22% of customers rated the food as
‘satisfactory’ and 65% rated it as ‘good’. A random sample of 12 customers who went for a meal at Restaurant Bijoux was taken.
On a separate occasion,…
JohnFire
- 369
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Binomial distribution - identifying number of trials
Simple question, but I am a bit confused:
Given a working month of $28$ days, and let $Z$ be the number of days on which the sales exceed the target with a probability of $0.625$. Identify the distribution of $Z$ and find the probability that the…
NAA
- 227
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what is Negative Binomial Distribution
I read about Negative Binomial Distribution, but did not understood. Can you explain in simple word and using examples?
Pavel
- 21
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Why is the SD of a larger set in a binomial distribution smaller?
Say the probability of success is 56% and we're trying to find the probability of success of the 60% mark. For example:
Say we have a population of 10, the probability of success is 56%, and we want to know how likely it is to get a 6. Whatever the…
Jwan622
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