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A friend of yours claims to have the psychic gift. You are skeptical of her claim. To test her gift, you take the ace of hearts, ace of spades, ace of diamonds, and ace of clubs from a deck of cards. You randomly choose one of the four cards removed from the deck and ask your friend (without seeing the card) to tell you what it is. You replace the card and repeat the experiment four times.
If your friend is really not a psychic (and is merely guessing at the cards), what is the probability that she guesses all four cards correctly? Round your answer to four decimal places.
A jar of peanut butter contains 457 grams with a standard deviation of 10.7 grams. Assuming a normal distribution, find the probability that a jar contains less than 454 grams.
A mean of 2.25 ounces and a standard deviation of 0.15 ounce. Between what two values (in ounces) symmetrically distributed around the population mean will 80% of the apples fall?
One variable recorded is the count X of finish defects (dimples, ripples, etc) in the car's paint. Is it reasonable to use a binomial distribution?
Modern manufacturing techniques rely on highly reliable components. Because of the difficulty and time to test the separate components of a computer system, for example, these are often completely assembled before the power is ever applied. Assume..
What test can be performed to compare the percentage of participants who developed abnormal triglyceride levels between the vitamin A group and the trace group? Implement the test in Problem 10.68, and report a two tailed p value.
The 50 computer mice inspectors at a particular factory can only inspect 34 mice per hour. Does the company have reason to believe that these inspectors are slower than average at α = 0.10?
The customers arriving between 0 and 1 have to wait until the store opens. Suppose X is the total times that these customers have to wait. Calculate Var(x).
A run chart is developed that confirms process stability. The level of significance is chosen to be 0.01. (a) Is there evidence to suggest that the process average differs from the target value?
A binary mobile consists of two branches, a left branch and a right branch. Each branch is a rod of a certain length, from which hangs either a weight or another binary mobile. We can represent a binary mobile using compound data by constructing i..
The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (d) Neither will fail? (c) One or the other will fail? Show all steps carefully.
If there is evidence that percentage of polished lenses that contain surface defects does not exceed 2%. A random sample of 240 lenses contains 5 defective lenses.
For each of the 50 states and Washington, D.C., a number of statistics related to education are available for 1992
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