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Write out explicitly, using Bernoullis techniques, the formulas for the sums of the first n fourth, fifth, and tenth powers. Then show that the sum of the tenth powers of the first 1000 positive integers is 91, 409, 924, 241, 424, 243, 424, 241, 924, 242, and 500. Bernoulli claimed that he calculated this value in "less than half of a quarter of an hour" (without a calculator).
A IRS auditor randomly selects 3 tax returns from 57 returns of which 6 contains errors. What is the probability that she selects none of those containing errors?
A candy confectioner measures the weight of 30 pieces of candy and obtains a mean and standard deviation of 32.5 gms and 2.6 gms, respectively. Construct the 98% confidence interval for the population mean.
Assume battery life is normally distributed. Batteries in the lower 10% do not meet minimum life requirements. What is the minimum life requirement for a battery?
How would you explain to another student the difference between compound interest and continuous compound interest to a friend?
Is there a linear relationship between age and education, and if so, how strong is that relationship? Is it possible to predict educational level based on age? If so, what limitations exist for the developed method?
A marketing research analyst collects data for a random sample of 100 customers out of the 400 who purchased a particular "coupon special".
an english teacher has been teaching a sixth grade composition class for many years. he has the feeling that over the
x is a normally distributed random variable with a mean of 5.00. if the probability thatxis less than 6.32 is 0.67 as
Shaver Manufacturing, Inc., offers dental insurance to its employees. A recent study by the human resource director shows the annual cost per employee per year followed the normal probability distribution
a researcher wishes to compare how students at two different schools perform on a math test. he randomly selects 40
a factory makes light bulbs. over a long period 4 of them are found to be faulty. a random sample of 100 light bulbs is
What is the margin of error for a 95% confidence interval for the difference of the two means (low capacity - high capacity)? (Answer to the nearest hundredth.)
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