Question: 1) Maya’s sock drawer contains four pairs of fuchsia, three pairs of burgundy socks and five pairs of violet socks. The socks are not matched or organized in any special way.
a) In a hurry to not arrive to class late, Maya randomly selects a sock from her drawer without looking. What is the probability that she selects a fuchsia sock?
b) Once this sock has been drawn, and discovered to be fuchsia, what is the probability that Maya will select another fuchsia sock to make a match pair?
c)What is the probability, if she grabs 2 socks one after another, without replacement, that she picks 2 violet socks
Question: 1) Maya’s sock drawer contains four pairs of fuchsia, three pairs of burgundy socks and...
Compare the hypergeometric and binomial distributions. Suppose there is a sock drawer with N socks, each placed loosely in the drawer (not rolled into pairs). The total number of black socks is m. You take out a random sample of n < m socks. Assume all the socks are the same shape, size, etc. and that each sock is equally likely to be chosen. Suppose the sampling is done without replacement. Calculate the probability of getting at least 2 black...