Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 80 hours and a standard deviation of 9 hours. Complete parts a through c. a. What is the probability that a single battery randomly selected from the population will have a life between 70 and 90 hours? P(70≤x≤90)=0.7286 (Round to four decimal places as needed.)
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- A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.2 years, and standard deviation of 3.3 years.The 7% of items with the shortest lifespan will last less than how many years?Give your answer to one decimal place.81223456 Number of Accidents ('x = X)d 0.28 Daily (X) 0.31 0.19 0.08 0.07 0.05 0.02 a given day? MacBookThe Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables d. Less than 55 poundse. Less than 49 pounds
- A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.5 years, and standard deviation of 2.7 years.The 3% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place.The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?Assume that adults have IQ scores that are normally distributed with a mean of 99.5 and a standard deviation of 19. Find the probability that a randomly selected adult has an IQ greater than 135.9.(Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 135.9 is ____