[CUSTOM SOLUTION] A Normal Distribution

3a. The probability of randomly selecting a car with two occupants.3b. The probability of randomly selecting a car with two or more occupants.3c. The probability of randomly selecting a car with between two and five occupants, inclusive.4. Scores. Scores for a qualification exam are normally distributed, with a mean of 80 and a standard deviation of 10. To be qualified for an interview, you must score in the top 10%. What is the lowest score you can earn and still be qualified for an interview?5. Coffee temperatures. You randomly select 25 coffee shops and measure the temperature of coffee sold at each. The sample mean temperature is one-hundred sixty-two degrees F with a sample standard deviation of 8.0 degrees F. Find the 95% confidence interval for the mean temperature. Assume the temperatures are approximately normally distributed.

 

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