Suppose a survey finds that the mean monthly rent of a two-bedroom apartment in seattle is $560, with a standard deviation of $35. Assume rent is normally distributed. a) What is the probability that a randomly selected apartment costs more than $600? b) What percentage of apartments cost between $500 and $630?

A waiterbelieves the distribution of his tips has a model that is slightly skewed to the left​, with a mean of ​$8.60 and a standard deviation of $4.20. He usually waits on about 50 parties over a weekend of work. ​a) Estimate the probability that he will earn at least ​$450. ​b) How much does he earn on the best 5​% of such​ weekends?

The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. a. A wife claimed to have given birth 308 days after a brief visit from her husband, who was serving in the Navy. Find the probability of a pregnancy lasting 308 days or longer. b. A baby is premature if the length of pregnancy is in the lowest 3%. Find the length that separates premature babies from those who are not premature. Must use Excel to solve! To translate/copy the numbers ONLY is ok. You CANNOT copy the entire question onto Excel. Otherwise, 10% penalty will apply! Search SAMSUNG

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 254 feet and a standard deviation of 43 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = % b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 216 feet? P(more than 216 feet) =