Name:__________________________
Binomial probability distributions
https://davidwills.us/stat200/binomial.html

A process has a 5% chance of succeeding/happening. 
5% = 1 out of 20, a low probability of success. 
But what are the chances of success if the process is done many times?

p = .05

n = 1 trial
P(0) = _____________   probability of not succeeding
P(1) = _____________   probability of succeeding


n = 2 trials
P(0) = _____________   probability of not succeeding
P(1) = _____________   probability of one success
P(2) = _____________   probability of both succeeding


n = 5 trials
P(0) = _____________   probability of 0 success
P(1) = _____________   probability of 1 success
P(2) = _____________   probability of 2 successes
P(3) = _____________   probability of 3 successes
P(4) = _____________   probability of 4 successes
P(5) = _____________   probability of all 5 succeeding
Probability of at least one success in the 5 trials: P(≥1) = ________

n = 10 trials
Probability of at least one success in the 10 trials: P(≥1) = ________

n = 14    fourteen trials
Probability of at least one success in the 14 trials: P(≥1) = ________

As the number of trials increases, even very low probability events are likely to occur.

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An event has a 10% chance of occurring.
How many trials need be done to get a probability of a success exceeding .5

n=_____   

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Someone said that if there's a 1% chance of success and you do it 100 times 
 you are guaranteed success. Let's correct that person.
n=_______
p=_______
P(0 successes)=_________ hardly a guarantee!

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Human has 23 pairs of chromosomes (46 total). Each pair: one from mother, the other from father.
A gamete (sperm or egg) has just one chromosome from each pair (23 total).
  Which of each pair is random as a coin flip. p=0.5
"Success" can be if the chromosome came from father (or mother if you prefer).
So the mean number of "successes", 
 ie. the number of a gamete's chromosomes that came from father is
  μ=np=_______    
  SD σ=√npq=_________   When p=0.5, σ=√n / 2
The bar graph shows which numbers as the most likely:___________
   Each having probability of ________
What is the probability that a gamete has no more than 6 chromosomes from father:______

What is the probability that a gamete has no chromosomes from father:______
   Reciprocal is the 1-out-of _____________ 

NB. the above ignores recombination.