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Question: A box contains 1000 balls, of which 2 are black and the rest are white.
a) Which of the following is most likely to occur in 1000 draws with replacement from the box?
a. fewer than 2 black balls,
b. exactly 2 black balls,
c. more than 2 black balls
b) If two series of 1000 draws are made at random from this box, what, approximately, is the chance that they produce the same number of black balls?
a genetic experiment involving peas yielded one sample of offspring consisting of 414 green peas and 153 yellow peas.
Suppose that 100 people are given lipid lowering drugs and that the drug appears to be effective in about 20 of them. Effective is defined as lowering their cholesterol values by 10 points in one month.
A sample of 4 different calculators is randomly selected from a group containing 42 that are defective and 27 that have no defects. what is the probability that all four of the calculators selected are defective?
suppose we observe a random variable x having the exponential distribution with parameter a which means that x has
How large a sample is required to estimate the mean speed with a margin of error equal to 2 miles per hour with 90% confidence?
Prove the Radon-Nikodym theorem, for finite measures, from the Hahn decomposition theorem. Hint: See Problem 8 on how to define f.
a survey of 131 investment managers in barrons big money poll revealed the followingbull 43 of managers classified
What was the rate of inflation for the 1950's, as measured by the percentage change in the CPI?
Researcher is interested in testing whether there are differences in mean between population one and population two.
They hope to use a sample size such that, with probability 0.95, the error will not exceed 0.04. What sample size will ensure this, regardless of what sample proportion value occurs when they gather the sample?
Of course, many different kinds of plastic exist. Spend 10 minutes writing down pos- sible ways to recycle one-gallon plastic milk jugs. You can assume that the milk jugs are received rinsed out and reasonably clean, but not sterile. Look at your ..
The small-sample confidence interval for μ, based on Student's t (Section 8.8), possesses a random width-in contrast to the large-sample confidence interval (Section 8.6), where the width is not random if σ2 is known. Find the expected value of the..
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