Craps is a dice game in which the players make wagers on the outcome of the roll, or a series of rolls, of a pair of dice. Most outcomes depend on the sum of the up faces of two, fair, six-sided dice. Define the random variable. X = _____________ of the up faces of two, fair, six-sided dice

Craps is a dice game in which the players make wagers on the outcome of the roll, or a series of rolls, of a pair of dice. Most outcomes depend on the sum of the up faces of two, fair, six-sided dice. Describe the sample space for all possible outcomes of rolling two dice. How many ways are there to roll a 5?

Craps is a dice game in which the players make wagers on the outcome of the roll, or a series of rolls, of a pair of dice. Most outcomes depend on the sum of the up faces of two, fair, six-sided dice. Determine all possible random variable values and the probability of those outcomes. Find the probability of rolling an 8. (Express your answer as a decimal rounded to the nearest ten-thousandth.)

Craps is a dice game in which the players make wagers on the outcome of the roll, or a series of rolls, of a pair of dice. Most outcomes depend on the sum of the up faces of two, fair, six-sided dice. Construct a probability histogram (a relative frequency histogram of probabilities). What is the lower class boundary of the "6" class?

Craps is a dice game in which the players make wagers on the outcome of the roll, or a series of rolls, of a pair of dice. Most outcomes depend on the sum of the up faces of two, fair, six-sided dice. Find the mean.

Craps is a dice game in which the players make wagers on the outcome of the roll, or a series of rolls, of a pair of dice. Most outcomes depend on the sum of the up faces of two, fair, six-sided dice. Find the standard deviation. (Round to the nearest ten-thousandth.)

Craps is a dice game in which the players make wagers on the outcome of the roll, or a series of rolls, of a pair of dice. Most outcomes depend on the sum of the up faces of two, fair, six-sided dice. Would it be unusual for a shooter to roll snake eyes? Find the z-score for snake eyes. (Round to the nearest hundredth (just like all other z-score values).)

Roulette is a casino game in which players may choose to place bets on either a single number, a range of numbers, red or black, odd or even, or other outcomes. Consider the amount of money won/lost when betting $5 on 12. Define the random variable. X = net amount of ____________ won/lost when betting $5 on 12

Roulette is a casino game in which players may choose to place bets on either a single number, a range of numbers, red or black, odd or even, or other outcomes. Consider the amount of money won/lost when betting $5 on 12. Describe the expectation of the random variable in a sentence. The expectation of the random variable X is the expected net amount of money won/lost when betting $5 on 12. Although the result may not be either the value won or the value lost on a single gamble, the expectation represents the ___________ value of the wins and losses when betting $5 on 12 over many gambles.

Roulette is a casino game in which players may choose to place bets on either a single number, a range of numbers, red or black, odd or even, or other outcomes. Consider the amount of money won/lost when betting $5 on 12. Find the value of winning/losing when betting $5 on 12. The odds paid on a straight bet are 35:1. What is the net amount of money won when betting $5 on 12? (Do NOT use a $ in your answer.)

Roulette is a casino game in which players may choose to place bets on either a single number, a range of numbers, red or black, odd or even, or other outcomes. Consider the amount of money won/lost when betting $5 on 12. Find the probabilities of winning or losing when betting $5 on 12. What is the probability of losing money when betting $5 on 12? (Express your answer as a decimal rounded to the nearest ten-thousandth.)

Roulette is a casino game in which players may choose to place bets on either a single number, a range of numbers, red or black, odd or even, or other outcomes. Consider the amount of money won/lost when betting $5 on 12. Find the expectation of betting $5 on 12. (Do NOT use a $ in your answer. Round to the nearest hundredth (penny).)

Roulette is a casino game in which players may choose to place bets on either a single number, a range of numbers, red or black, odd or even, or other outcomes. Consider the amount of money won/lost when betting $5 on 12. Consider placing 1000 $5 bets in a row on 12. How much money should the gambler have after the 1000th gamble based on the expectation? (Do NOT use a $ in your answer.)

Roulette is a casino game in which players may choose to place bets on either a single number, a range of numbers, red or black, odd or even, or other outcomes. Consider the amount of money won/lost when betting $5 on 12. How much money should a casino with 5 active roulette tables running 24-hours a day expect to earn based on a LOW average of 45 spins per hour and 25 straight bets in the field per spin? (Do NOT use a $ in your answer.)