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?

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The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances that someone is earning more than $20 an hour?

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Suppose that the number of hours that an adult watches in a day has a mean of 2.4 hours and a standard deviation of .7 hours. i. What is the probability that an adult watches more than 3.5 hours in a day?Calculate the z-score. Draw a diagram, Then find the probability.ii. What is the probability that a person watches between 2 and 3 hours of TV a day? Write the probability notation. Calculate the z-score. Draw a diagram. then you may  find the probability.iii. What is the 40th percentile for the number of hours an adult watches TV in a day?

Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have BLUE eyes.  Three randomly selected Americans are selected and examined for eye color. If you let success correspond to an American having BLUE eyes, calculate the following. Calculate the standard deviation.

Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.

Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Find the percentage of buyers who paid between $148,200 and $151,800 if the standard deviation is $1800. Group of answer choices 99.7% 34%

The Powerball lottery jackpot has a winning probability of 1/189,000,000.  If you only consider the options of winning the jackpot ($100,000,000) or losing, what the is the mean value of a ticket that costs $2 to buy?   At what point does the mean value of a ticket become positive?

Normal Distribution Calculator: http://onlinestatbook.com/2/calculators/normal dist.html 2. Suppose the scores on a chemistry test were normally distributed with a mean of 78 and a standard deviation of 10. a. Label the horizontal axis appropriately on the Normal curve at right. b. Find the probability that the student earned fewer than 75 points. c. Find the probability that the student earned at least 70 points. 48 58 68 78 88 98 108 d. Find the probability that the student earned between 80 and 90 points. Shade the appropriate area in the figure, and then determine the proportion. e. Find the probability that the student earned either less than 80 points or more than 90 points.