Exam 6: Continuous Probability Distributions

In grading eggs into small, medium, and large, the Nancy Farms packs the eggs that weigh more than 3.6 ounces in packages marked "large" and the eggs that weigh less than 2.4 ounces into packages marked "small"; the remainder are packed in packages marked "medium." If a day's packaging contained 10.2% large and 4.18% small eggs, determine the mean and the standard deviation for the eggs' weights.Assume that the distribution of the weights is normal.

For a continuous random variable x, the height of the function at x is

A standard normal distribution is a normal distribution with

A standard normal distribution is a normal distribution with

The standard deviation of a standard normal distribution

The uniform probability distribution is used with

For a uniform probability density function, the height of the function

The ages of students at a university are normally distributed with a mean of 21.What percentage of the student body is at least 21 years old?

A uniform probability distribution is a continuous probability distribution where the probability that the random variable assumes a value in any interval of equal length is

Use the normal approximation to the binomial distribution to answer this question.Eleven percent of all students at a large university are absent on Mondays.If a random sample of 12 names is called on a Monday, what is the probability that four students are absent?

The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles.What is the probability that a randomly selected tire will have a life of at least 35,000 miles?

If arrivals follow a Poisson probability distribution, the time between successive arrivals must follow a(n) _____ probability distribution.

The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.The probability of a player weighing more than 250 pounds is

A continuous probability distribution that is useful in describing the time, or space, between occurrences of an event is a(n) _____ probability distribution.

In a standard normal distribution, the

For a standard normal distribution, the probability of obtaining a z value between -1.6 to 1.8 is

For a standard normal distribution, the probability of z 0 is

The time it takes to travel from home to the office is normally distributed with μ = 25 minutes and σ = 5 minutes.What is the probability the trip takes more than 40 minutes?​

For a standard normal distribution, the probability of obtaining a z value between -1.4 to -0.35 is

The random variable x is known to be uniformly distributed between 70 and 100.The probability of x having a value between 80 to 95 is