In: Statistics and Probability
True or false. Consider a binomial distribution with 16 trials. Look at a table showing binomial probabilities for various values of p, the probability of success on a single trial. For small values of p, the distribution is skewed to the right.
True.
For binomial distribution:-
for small n and small values of p, the distribution is skewed to the right.
for small n and large values of p, the distribution is skewed to the left.
For small p and large n, the binomial distribution approaches symmetry.
For n=16 binomial table
Here up to p = 0.4 the probability decreasing as x increases.
Therefore it is right skewed.