Consider a binomial distribution with 8 trials. Either use SALT, or look at a binomial probability distribution table showing binomial probabilities for various values of p, the probability of success on a single trial.   (a) For what value of p is the distribution symmetric? p =  What is the expected value of this distribution? Is the distribution centered over the value? Yes or no (b) For small values of p, is the distribution skewed right or left? right or left     (c) For large values of p, is the distribution skewed right or left? right or left

Suppose you are playing a game and you get to roll 40 six-sided dice on your next turn. If you get a total of 160 or more from the 40 dice, you will win the game. Using sampling distributions, what is the probability that you will get a total of 160 or more with the 40 dice? Some useful things to know: When one six-sided die is rolled, the die roll (or number of spots showing) has a mean of 3.5 and a standard deviation of approximately 1.71.

The mean value of the Gaussian probability distribution is numerically equal to its variance. True or False

62% of adults in a population have an HDTV in their home. You randomly select 45 adults and ask them if they have an HDTV in their home. What is the probability that at most 20 of them respond yes? Use binomial distribution and normal distribution approximation. Compare your results.