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People are selected to serve on juries by randomly picking names from the list of registered voters. The average age for registered voters in the county is µ=39.7 years with a standard deviation of σ=12.4. A statistician randomly selects a sample of n=16 people who are currently serving on juries. The average age for the individuals in the sample is M=48.9 years. How likely is it to obtain a random sample of n=16 jurors with an average age greater than or equal to 48.9?
Assume that replacement time for TVs are normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years. The probability a randomly selected TV will have replacement time less than 5.5 years to be .0071.
Household income does not tend to follow a normal distribution in a particular state, yet average income is approximately $45,000/year in this state, with a standard deviation of about $9000.
Use the binomial distribution to determine the probability that a student will get at least 8 out of 10 questions on a ten question multiple choice test correct by just guessing if each question has four
What is the probability that the trainee class will consist entirely of men or women? Round your answer to the nearest thousandth.
A mean life of 1800 hours and a standard deviation of 200 hours. Assume the life of these light bulbs follows a normal distribution. Find the probability that a single light bulb will have a life greater than 2000 hours.
You would like to take an advantage of the higher yield investment but have only $500 available. What is the maximum rate of return that you would pay to borrow the $200 need to take advantage of the high yield investment?
A rare disease has just broken out. Doctor Johnson is trying to help, but while treating patients he might expose himself to the disease.
A real estate agent in the coastal area of Georgia wants to compare the variation in the selling price of homes on the oceanfront with those one to three blocks from the ocean sample of 21 oceanfront homes sold within the last year revealed the st..
How large a sample should be taken if the desired margin of error E is:
The probability that a bomber hits its target on any particular mission is 0.80. Four bombers are sent after the same target. What is the probability: they all hit the target?
Use the correct formula to find the probability that, out of 45 houses, exactly 4 of the houses will be burglarized. Show your calculations or explain how you found the probability.
Can you please derive the mean and variance of a RV X, which has a Poisson distribution.
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