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a) It is known that CDs produced by a manufacturer will be defective with probability 0.1, independently of each other. A company sells the CDs in packages of size 10 and offers a money-back guarantee if more than 1 of the 10 CDs in the package will be defective. If someone buys 3 packages, what is the probability that he will return at least one of them?
b) A station has two mini-buses (each with 16 seats), A and B, awaiting, each already having 13 seats occupied. Passengers come singly, selecting A with probability 0.7 and selecting B with probability 0.3. Find the probability that B is filled up before A and moves out first.
c) The number of times that an individual contracts a cold in a given year is a Poisson random variable with parameter λ = 5. Suppose a new wonder drug (based on large quantities of vitamin C) has just been marketed that reduces the Poisson parameter to λ = 3 for 75% of the population. For the other 25% of the population the drug has no appreciable effect on colds. If an individual tries the drug for a year and has 2 colds in that time period, how likely is it that the drug is beneficial for him/her?
d) The probability of being dealt a full house in a hand of poker is approximately 0.0014. Find an approximation for the probability that in 1000 hands of poker you will be dealt at least 2 full houses
In a population of four classes of individuals, the proportion of individuals of Class i is pi for i = 1, 2, 3, 4.
If one of the stocks has a beta of 1.56 and the total portfolio is equally as risky as the market, what must the beta be for the other stock in your portfolio
during a test period an experimental group of 10 vehicles using an 85 ethanol-gasoline mixture showed mean co2
a population variance 34a. what is the standard deviation ?b. what if n 14 what would be the standard deviation of the
A survey of teenagers and parents in Canada conducted by the polling organization Ipsos ("Untangling the Web: The Facts About Kids and the Internet
Why do businesses that have been spun off from their parent often immediately put antitakeover defenses in place?
in a gallop poll 1010 adults were randomly selected and asked if they were satisfied or dissatisfied with the amount of
Draw an example of a histogram for a data set such that, The data set exhibits symmetric central tendency.
What is probability In a sample of 12 people earning between $20,000 and $50,000 per year between 4 and 10 people have bought a new car within the past 2 years
Use exponential smoothing with a = 0.2 and 0.4 to forecast August's income. Assume that the initial forecast for February is $78,000.
They then conducted a hypothesis test to determine if this difference was greater than zero on average.
The Miller Construction Company must decide whether to make a bid on a construction project. Miller believes it will cost the company $10,000 to complete.
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