A fair die is rolled until win or loss occurs: For k=1 to 5: if a 6 occurs on the kth roll you win N dollars and game ends; if a number<k occurs you lose $10 and the game ends; otherwise you roll again. For k>5: if a 6 occurs on the kth roll you win N dollars and the game ends; if a number<5 occurs you lose $10 and the gam
1. The camera department of a large department store sells three different brands of cameras: Proxima, Yakima, and Tetron. Approximately 60% of the cameras sold are Yakimas with Tetrons accounting for 30% of sales and Proxima the remaining 10%. Store records show that approximately ¼ of those who purchase a Yakima return wit
1. A group of day to day workers can work either 0 hours, eight hours or 12 hours at a pay rate of $9.75 per hour. (The 12 hour day pays regular time for the first eight hours and double time for the remaining four hours.) On any given day there is a 0.2 probability of not working at all, 0.7 probability of working an eight ho
Question 1 Assume that you are the owner of a small business that employs two people on a telephone help desk. Records show that one of the employees is busy taking calls for 40% or the time and the other is busy taking calls 55% of the time: a) What is the probability that when a new call comes in that both of the emp
Please explain why in a two card hand out of a deck of 52 cards the probability of getting 2 consecutive cards is 208/1326, how did you get this?
Suppose that x and y have the following joint probability distribution X 2 4 _______________________________________________ 1 0.10 0.15 Y 3 0.2 0.3 5 .1 .15 Find the marginal distribution of x a
In a shipment of 14 computer parts to Indiana State, 3 are faulty and the remaining 11 are in working order. Three elements (parts) are randomly chosen out of the shipment. What is the probability that all three faulty elements will be the ones chosen?
Identify each variable in the formula for the binomial probability density function. Also, explain what the fraction: n! / (n-x)!x! calculates.
16 wrestlers compete in a competition. If each wrestler has one match with each of the other 15 wrestlers, what is the total number of matches.
Please help with the calculations as I am new with Excel Solver, and I am having problems formulating. For the LP problems, you will need to solve using the Excel Solver. We have used the Sum Product feature when using Excel. So in cases where you can use that, please do so. See the attached file.
Events a and B are independent. P(A)=0.72 and P(A and B)=0.18 What is P(B) equal to?
A basketball player makes 80% of his free throws. If he attempts eight free throws during the next game, what is the probability that he will make more than his average?
The ages of the volunteer members of fire department are normally distributed with a mean of 36 and a standard deviation of 6. What is the probability that a member selected at random will be between the ages of 33 and 45?
What is a binomial coefficient and factorial notation?
A field biologist grabs geese and weighs them. He finds out that the weights of the geese are normally distributed with a mean of 9 pounds and a standard deviation of 1.3 pounds. What then, is the probability that one of these geese snatched at random will weigh less than 10.5 pounds?
A sample of 16 is taken from a population which has a normal distribution with a mean of 10 and a standard deviation of 3. What is the probability that the sample mean is less than 11? Put your answer in decimal answer form.
A wildlife biologist captures a certain species of geese in orer to weigh them. Using science, he determines that the weights are normally distributed with a mean of nine pounds and a standard deviation of 1.3 pounds. What is the probability that a goose captured at random will weigh between 8 pounds and 11 pounds?
For machine gun ammunition to be acceptable, the US Army requires that 96 percent of rounds fired hit a specified target. The test is to fire a 50 round burst at the target and observe whether this condition is met. A manufacturer estimates that each round of their ammunition has a probability of .99 of hitting the target. What