Question

Please don't copy and paste the answer from another person's question that was already asked. I already saw those and I wouldn't be posting this if I wanted to see those answers. Thank you!

SHOW WORK!!!!! Full credit will not be given for answers only. NOTE: for any question asking you to determine a probability----you MUST write out a probability statement using proper notation!!!! Probabilities should be DECIMAL form and rounded to 4 decimal places.

The results of a national survey showed that on average, adults sleep 6 hours and 48 mins per night with a standard deviation of 24 minutes. Assume a normal distribution. Answer the following questions by using the Empirical Rules. (Note: you should either use hours or convert to minutes.)

- What percentage of American adults sleep between 5.6 and 6.4 hours per night?

- What is the probability that an American adult slept more than 7 hours and 36 minutes in a night?

- Given that an American adult slept at least 6 hours in a night, what is probability that this adult slept at most 7.2 hours in a night?

- At most how much sleep would an American adult get if they were in the lower 16 percentile?

- What is the expected amount of sleep an average American would get in a 7-day week? What is the standard deviation? Assume that the amount of sleep each day is independent of all other days.

Answer 1