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Consider rolling one (six-sided) fair die and tossing one (two-sided) fair coin. If the coin turns up heads, then the number of spots showing on the die is the score of that trial. If the coin turns up tails, then twice the number of spots showing on the die is the value for that trial. In other words, if the coin-toss results in a head and the die lands showing a 4 face up, then the score is 4 points for that trial. If the coin were to land tails up and the die landed a 4 face up, then the score of that trial will be 8 points. Determine the possible outcomes in the sample space and construct a probability distribution table. Once that is completed you are to find the expectedvalue of the following experiment. If I were to invite you to play the above game where I would pay you your score in dollars (1 point = 1 dollar), what should I charge you to play? Using that ticket price, how many games would have to be played in order for me to have an expected profit of $100.00?
Calculate an 85% confidence interval for the population mean number of wolf pups per den at southwestern United States (US).
The bottom 1.5% of students must go to summer school. What is the minimum score you would need to stay out of this group?
The rest have no opinion. " Suppose that a a sample of 100 American adults is quizzed on the subject. What is the probability of the following events?
If we assume that the download times are normally distributed, what percent of users will wait between 5 and 10 seconds for the homepage to download?
Perform a significant test to assess whether there is an association between mortality from cirrhosis of the liver and duration of employment in the group hired after 1945. Report a p-value.
A TV spot in the Channel 22 early news costs $1500. The average quarter hour Adult 25-54 audience is 15,000. What is the CPM?
Using the results, describe the effect of an outlier or extreme value on the confidence interval.
Suppose the time interval between two consecutive defective light bulbs from a production line has a uniform distribution over an interval from 0 to 90 minutes.
If a manufacturer charges x dollars each for soccer balls, then he can sell 3000 - 150x soccer balls per week. Find a polynomial that represents the revenue for one week.
Discuss an element of drinking water where you see a public health gap or need that should be addressed. You may bring up a specific case relevant to your community if you have one, or bring up a global issue.
What is the break-even cost? What is the profit for 75 units of feed sold? How many units must be sold to produce a profit of $1020?
Using the emperical rule solve the following problems for a distribution with a mean of 20 and a stardard diviation of 5. At least what percentage of the values will fall between 15 and 25.
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