Provide an appropriate response. A dice game involves throwing three dice and betting on one of the six numbers that are on the dice. The game costs $7 to play, and you win if the number you bet appears on any of the dice. The distribution for the outcomes of the game (including the profit) is shown below:     Find your expected profit from playing this game.

Provide an appropriate response. True or False: The area under the normal curve drawn with regard to the population parameters is the same as the probability that a randomly selected individual of a population has these characteristics.

Provide an appropriate response. Consider the discrete probability distribution given when answering the following question. Find the probability that x exceeds 5.

Select the proper answer. Decide whether the experiment is a binomial experiment. If it is not, explain why.  Survey 1,000 investors to see how many different stocks they own. The random variable represents the number of different stocks owned by each investor.

Provide an appropriate response. Given the table of probabilities for the random variable x, does this form a probability distribution? Answer Yes or No.    

Provide an appropriate response. A normal probability plot is a graph that plots _____________ versus _____________.

Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response.   High temperatures in a certain city for the month of August follow a uniform distribution over the interval 62°F to 93°F. What is the probability that a randomly selected August day has a high temperature that exceeded 67°F?

Choose the one alternative that best completes the statement or answers the question. The probability that an individual has 20-20 vision is 0.17. In a class of 20 students, what is the mean and standard deviation of the number with 20-20 vision in the class?

Provide an appropriate response. The produce manager at a farmer’s market was interested in determining how many oranges a person buys when they buy oranges. He asked the cashiers over a weekend to count how many oranges a person bought when they bought oranges and record this number for analysis at a later time. The data is given below in the table. The random variable x represents the number of oranges purchased and P(x) represents the probability that a customer will buy x apples. Determine the mean number of oranges purchased by a customer.

Choose the one alternative that best completes the statement or answers the question.   Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of exactly five girls in ten births.