Probability : Coin Flips

Determine Probability Distribution - In a certain carnival game a player pays $1 and then tosses a fair coin until either a "head" occurs or he has tossed the coin four times. He receives fifty cents for each toss. Determine the probability distribution for the experiment of playing the game and observing the player's earnings.

Probability : Random Selection - A man has been guessing colors of cards drawn from a standard deck of cards. During the first 50 draws he kept track of the number of cards of each color. What is the probability of guessing the color of the fifty-first card?

True-False Probability - An exam consists of six "true or false" questions. What is the probability that a person can get five or more correct by just guessing?

Probability - Forty percent of a particular model of car are silver. What is the probability that in the next 10 observations of this model you observe 5 silver cars?

Variance and standard deviation - Student A received the following course grades during her first year of college: 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 0. Student B received the following grades during her first year of college: 4, 4, 4, 4, 4, 4, 3, 1, 1, 1. (a) Write down the relative frequency distribution tables for each student, and compute the population means and variances. (b) Which stude...