If you roll a 10 sided die until you get a 1, what would be the expected value and variance of the resulting probability distribution?
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Q: In a recent year, the Better Business Bureau settled 75% of complaints they received. You have been…
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Q: Suppose a large shipment of cell phones contained 11% defectives. If a sample of size 359 is…
A: Sample size =359
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If you roll a 10 sided die until you get a 1, what would be the
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- The mean value of the Gaussian probability distribution is numerically equal to its variance. True or FalseNeighborhood Insurance sells fire insurance policies to local homeowners. The premium is $150, the probability of a fire is 0.1%, and in the event of a fire, the insured damages (the payout on the policy) will be $140,000. g. What are the expected value and variance of your profit?Let X be the discrete r.v. that represents the number of Boys in a three-child family. Assume that the outcomes boys and girls are equally likely. What is the expected value of this discrete probability distribution? What is the variance?
- In a recent year, the Better Business Bureau settled 75% of complaints they received. You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Suppose your sample size is 134. What is the probability that the sample proportion will be at most 3 percent more than the population proportion? (Enter your answer as a number accurate to 4 decimal places.)Suppose a large shipment of laptop computers contained 12% defectives. If a sample of size 286 is selected, what is the probability that the sample proportion will be less than 7% ? Round your answer to four decimal places.A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 14 years with a variance of 16. If the claim is true, in a sample of 40 wall clocks, what is the probability that the mean clock life would differ from the population mean by greater than 0.4 years? Round your answer to four decimal places. don't forget to round
- In a recent year, the Better Business Bureau settled 75% of complaints they received. You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Suppose your sample size is 141. What is the probability that the sample proportion will be at most 4 percent more than the population proportion? (Enter your answer as a number accurate to 4 decimal places.)We Love Cocoa! sells two-pound boxes of assorted chocolates. Because of imperfections in their equipment, the actual weight of the box of chocolates has a continuous uniform distribution ranging from 31.8 to 32.6 ounces. What is the probability that a box weighs exactly 31 ounces?Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was μ = 9.2 mg/L with 95% of the data ranging from 5.4 mg/L to 13.0 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume xhas a probability distribution that is approximately normal. (a) Use the 95% data range to estimate the standard deviation for oxygen demand. (b) An oxygen demand below 8 indicates that some organisms in the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L?(Round your answer to four decimal places.) (c) A high oxygen demand can also indicate trouble. An oxygen demand above 12 may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12…
- Suppose a large consignment of compact discs contained 7% defectives. If a sample of size 322 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 3%? Round your answer to four decimal places.Assume that the probability of a 25-year-old male living to age 26, based on mortality tables, is 0.993. If a 16,000 dollar one-year term life insurance policy on a 25-year-old male costs 100 dollars, what is its expected value? What is the expected value? The expected value is dollars.A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 15 years with a variance of 25. If the claim is true, in a sample of 41 wall clocks, what is the probability that the mean clock life would be less than 15.4 years? Round your answer to four decimal places