A game involves flipping a fair coin 3 times. Let X = the number of times that the coin shows heads. All conditions have been met and that this scenario describes a binomial setting. Determine the value of n and p and calculate the mean and standard deviation of X. Round the standard deviation to three decimal places.

n =
p =
μx =
σx =

Julie begins counting backwards from 1000 by 2’s and at the same time tony begins counting forward from 100 by 3’s.   if they count at the same rate, what number will they say at the same time?

Our star pitcher, foster enlight, can throw a pitch so fast that it gets to the catcher’s mitt before it leaves foster’s fingers! if the team wins a game then the probability that foster was pitching is 0.8 but only if foster had at least one day’s rest since his last pitching assignment. if foster does not have a day off and the team still wins, the probability that foster was pitching drops by half of what it was on the previous day. if the team wins three games in succession from the toronto tachyons and foster pitched in game #2, what is the probability that he pitched in one or more of the other games? (assume that foster did not pitch on the day before the first game of this three game series.)

(: the two box-and- whisker plots below show the scores on a math exam for two classes. what 2 things do the interquartile range tell you about the two classes?