Exam 7: Continuous Probability Distributions

The weight of cans of fruit is normally distributed with a mean of 1,000 grams and a standard deviation of 50 grams.What percent of the cans weigh 860 grams or less?

For a standard normal distribution,what is the probability that z is greater than 1.75?

The uniform probability distribution's shape is a rectangle.

The number of different standard normal distributions is unlimited.

A major credit card company has determined that customers charge between $100 and $1100 per month.Given that the average monthly amount charged is uniformly distributed,what percent of monthly charges is less then $100? _____________

In a uniform probability distribution,P(x)is constant between the distribution's minimum and maximum values.

The mean of any uniform probability distribution is

The mean (µ)divides the normal curve into two identical halves.

Management is considering adopting a bonus system to increase production.One suggestion is to pay a bonus on the highest 5 percent of production based on past experience.Past records indicate that,on the average,4,000 units of a small assembly are produced during a week.The distribution of the weekly production is approximately normally distributed with a standard deviation of 60 units.If the bonus is paid on the upper 5 percent of production,the bonus will be paid on how many units or more?

An analysis of the grades on the first test in History 101 revealed that they approximate a normal curve with a mean of 75 and a standard deviation of 8.The instructor wants to award the grade of A to the upper 10 percent of the test grades.What is the dividing point between an A and a B grade?