You manage a small brewery that makes local craft beer. The quantity of beer in each bottle is normally distributed, with a mean of 12 ounces and a standard deviation of 0.5 ounces. You pull one random bottle from the assembly line. What is the probability that the bottle has between 11 and 11.50 ounces of beer? Round your answer to three decimal places
1. You manage a small brewery that makes local craft beer. The quantity of beer in each bottle is normally distributed, with a mean of 12 ounces and a standard deviation of 0.5 ounces. You pull one random bottle from the assembly line. What is the probability that the bottle has between 11 and 11.50 ounces of beer? Round your answer to three decimal places, e.g. 0.519.
2. A small retail store has customers whose ages are normally distributed, with a mean of 37.5 and a standard deviation of 7.6. What is the probability that a randomly selected customer is older than 50 years old? Round your answer to three decimal places, e.g. 0.685.
3. Assume the average number of fatal crashes caused by sleep-deprived drivers each year is 2,000. Additionally assume the annual number of fatal crashes per year is normally distributed with a standard deviation of 275. For a year to be in the upper 5% with respect to the number of fatal crashes, how many fatal crashes would have to occur? Enter your answer as a number rounded to no decimal places, e.g. 1952.
4. A small retail store has customers whose ages are normally distributed, with a mean of 37.5 and a standard deviation of 7.6. What is the probability that a randomly selected customer is younger than 44 years old? Round your answer to three decimal places, e.g. 0.285.
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