A company responsible for making gumballs found that their gumballs had an average diameter of 2.21 cm and a standard deviation of 0.01 cm.
A store is restocking their gumball machines. In order for the machine to work the gumballs must be
between 2.20 cm and 2.23 cm in diameter If the store uses the gumballs mentioned above what
percentage of the time will the machine work properly?

The population of a small rural town in the year 2006 was 2,459. the population can be modeled by the function below, where f(x residents and t is the number of years elapsed since 2006. f(t) = 2,459(0.92)

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?

If p(a) = 0.70 and p(b) = 0.20, then a and b are independent events if