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The probability density function of the net weight in pounds of a packaged chemical herbicide is f(x) = 2.0 for 49.75 < x="">< 50.25=""> Determine the probability that a package weighs m
Rolling a pair of fair die 10 times and recording the number of times we get a 7. What is the probability of rolling exactly 3 sevens?
(A) Formulate and solve an Linear Programming model for this case. (B) Evaluate the prospect of borrowing money before the first game.
Compare and contrast internal and external validity. Describe and give examples of research questions for which external validity is a primary concern.
A standard deck of cards contains 52 cards. One card is selected from the deck. Compute the probability of randomly selecting a seven or ace.
If a normal model can be used to model them, what percent of the funds would you expect to be in each region? Use the 68-95-99.7 rule to approximate the probabilities.
In a study on the health and development of a bird species, Yellow Robin, two different sites were compared: one in The Dandenong Ranges (East of Melbourne) and another in the drier area of the Gra
Calculate the summary statistics relevant to this problem. Compute a 95% confidence interval for the mean change in blood lactate level.
A manufacturer of squash racquets has collected information on time in months to breakage for their racquets in normal play; that is, not due to mishandling. Data from past records on breakages sug
State the approximate distribution for the total number of children in 150 families. On what theoretical basis can this approximation be made (state the reason)?
Raw materials are studied for contamination. Suppose that the number of particles of contamination per pound of material is a Poisson random variable with a mean of 0.01 particle per pound.
Let R be the random variable which determines the face value of the red die, and G be the random variable which determines the face value of the green die.
The scores on an exam are normally distributed with µ = 30 and s = 7. (Show your working.) a) What percent of the population have scores above 40?
The time it takes a cell to divide (called mitosis) is normally distributed with an average time of one hour and a standard deviation of 5 minutes.
The ages of subscribers to a certain mailing list are normally distributed with mean 35.5 years and standard deviation 4.8. What is the probability that the ages of a random subscriber is?
Winning symbol caps are placed randomly on 5% of the bottles. You buy a six-pack of the soft drink. a) State the exact probability distribution that applies to this circumstance.
The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes.
A vertical line is drawn through a normal distribution at z = -1.00. The line separates the distribution into two sections. What proportion of the distribution is in the larger section?
A soft drink manufacturer is using a "winning" cap as a sales promotion. The purchaser can get a prize if they buy a bottle that has a "Winner" symbol under the cap. Winning symbol caps are placed r
Let X be a discrete random variable that is uniform over the set of integers in the range [a,b], where a and b are given integers such that a < 0 < b. Find the PMF of the random variables m
A bag of 31 tulip bulbs contains 12 red tulip bulbs, 12 yellow tulip bulbs, and 7 purple tulip bulbs. What is the probability that two randomly selected tulip bulbs are both red.
A computer can be classified as either cutting-edge or ancient. 93% of computers are classified as ancient. (a) What is the probability that two randomly selected computers are ancient?
A study was commissioned to investigate the characteristics of properties that are for sale. Data was collected on 60 houses and the following variables recorded.
If two televisions are randomly selected, compute the probability that both televisions work. What is the probability at least one does not work?
If the probability that any sightings is genuine is on the order of one in one hundred thousand, what is the probability that at least one of the ten-thousand was genuine?