Exam 6: Continuous Probability Distributions

A manufacturing process produces items whose weights are normally distributed.It is known that 22.57% of all the items produced weigh between 100 grams up to the mean and 49.18% weigh from the mean up to 190 grams.Determine the mean and the standard deviation.

For a standard normal distribution, the probability of obtaining a z value of less than 1.65 is

In a standard normal distribution, the range of values of z is from

A negative value of z indicates that

The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.What percent of players weigh between 175 and 225 pounds?

A value of 0.5 that is added to and/or subtracted from a value of x when the continuous normal distribution is used to approximate the discrete binomial distribution is called

The function that defines the probability distribution of a continuous random variable is a

The standard deviation of a normal distribution

Given that z is a standard normal random variable, what is the value of z if the area to the right of z is 0.9634?

The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes.The probability that her trip will take exactly 50 minutes is

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 exactly 42,500 miles?

The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000.What is the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $47,500?

The weekly earnings of bus drivers are normally distributed with a mean of $395.If only 1.1 percent of the bus drivers have a weekly income of more than $429.35, what is the value of the standard deviation of the weekly earnings of the bus drivers?

x is a normally distributed random variable with a mean of 12 and a standard deviation of 3.The probability that x equals 19.62 is

Given that z is a standard normal random variable, what is the value of z if the area to the left of z is 0.2345?

If the mean of a normal distribution is negative,

z is a standard normal random variable.What is the value of z if the area between -z and z is 0.754?

Given that z is a standard normal random variable, what is the value of z if the area to the left of z is 0.9582?

The probability density function for a uniform distribution ranging between 2 and 6 is

An exponential probability distribution