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]
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Normal distribution question help
The lifespan of a certain brand of bicycle tyre is normally distributed witha mean of 1200km and a std deviation of 80km.
1)Find the probability that a randomly chosen tyre has a lifespan of less than 1100km.
2)Determine the value of A, the nearest…
Mun Yee
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Normal approximations of Binomial distributions. Why do we adjust by 0.5?
I'm reading about binomial distributions and I found this problem:
We're trying to find the probability of finding 70-245 successes, given a population of 245 and a probability of success of 25%. What is the probability of 70-245 successes…
Jwan622
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What is the expected proportion of matches for two trials of length n from the same binomial distribution?
I have two sequences of binary trials chosen at random. In both cases, $n$ is the length of the sequence, and $p$ is the success probability. Obviously, the sequences will not be identical, for example
$$A = [1,0,1,1,0,1,...]$$
$$B =…
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Estimate half of the sum of binomial
I know that the following sum $\sum_{i=0}^{n} C_{n}^{i} \cdot (1-p)^i \cdot p^{n-i}$ is equal to 1. It is also not hard (but tedious) for me to calculate
$$\sum_{i=0}^{n/2} C_{n}^{i} \cdot (1-p)^i \cdot p^{n-i}$$
where $n$ is the odd number and $p…
Salvador Dali
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Binomial Distribution: Obtaining 3 of x and 1 of y with different probabilities
Sorry for the poorly worded title but I'm not sure what to put for it. I have a question relating the the binomial distribution for which I have provided two solutions for but I am not sure which is correct. Any help would be much appreciated.
"For…
Battler
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Binomial where N value is too big
It is estimated that 20% of students take an active part in a sports club in college. If 20
students are randomly sampled and asked if they are active participants in a college
sports club what is the probability that more than 4 are active in a…
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Repeated Probability of event happening multiple times.
He has a $\frac{1}{8}$ chance to hit my hero with each attack of c'thun (a card in the game hearthstone). C'thun has $30$ attacks in this situation. So he manages to hit me all $30$ times out of $30$ with $\frac{1}{8}$ chance each time.
What's the…
Ben
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Finding z values and probabilities in standard normal table
There are 90 people in the restaurant. The probability of someone ordering a drink with food is 60%. Use Normal approximation of Binomial Distribution to answer the following 6 questions.
What is the mean of the Normal distribution?
What is the…
cyclops
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Geometric Distribution Problem (cant find the answer for my life)
I must be missing something on this problem, so here is the question:
An NFL quarterback's completion rate is 70%. Find the probability that the quarterback completes 15 of 30 passes during the game.
I know its a geometric distribution problem since…
MathBoi2
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What is the average lowest value from N random binomial experience
Let $X_1,\ldots,X_n$ be indepedent Bin(n,1/2), and let M be their minimum. What is $E[M]$? (or an upper bound for it).
Sepehr
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Binomial Expansion of $(1-x)^{1/n}$.
Please tell me the binomial expansion of $(1-x)^{1/n}$ where $n\ge 0$.
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I'm playing a game where I'm tossing a fair coin. When it's heads I gain a dollar. When it's tails I lose a dollar. I play until I have +24 or -36
I'm playing a game where I'm tossing a fair coin. When it's heads I gain a dollar. When it's tails I lose a dollar. I play until I have +24 or -36. What's the probability of each condition?
I'm comparing answers to chatgpt.
kashix9
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Binomial Distribution Probability Question System Fail
I am studying for my midterm test for Stats and I am working on some problems from the textbook. I was hoping to verify my answers which would help me know I am doing the "right" thing. Thank you for your time.
Short version of the question
Nuclear…
Emad Zamout
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