Exam 6: Continuous Probability Distributions

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

The uniform, normal, and exponential distributions

For a normal distribution, a negative value of z indicates

A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11. Students who made 59.99 or lower on the exam failed the course. What percent of students failed the course?

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.

The probability that a continuous random variable takes any specific value

Given that z is a standard normal random variable, what is the probability that z -2.12?

The average starting salary of this year's MBA students is $45,000 with a standard deviation of $5,000. Furthermore, it is known that the starting salaries are normally distributed. What are the minimum and the maximum starting salaries of the middle 95% of MBA graduates?

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

The area of the continuous uniform probability distribution 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

z is a standard normal random variable. The P(-1.5 < z < 1.09) equals

z is a standard normal random variable. The P (1.20 z 2.10) equals

Given that z is a standard normal random variable, what is the value of z if the area to the right of z is 0.1801?

The assembly time for a product is uniformly distributed between 6 to 10 minutes. The standard deviation of assembly time (in minutes) is approximately

A continuous random variable is uniformly distributed between a and b. The probability density function between a and b is

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?

Which of the following are continuous random variables?​ I. The weight of an elephant II. The time to answer a questionnaire III. The number of floors in a skyscraper IV. The square feet of countertop in a kitchen

There is a lower limit but no upper limit for a random variable that follows the _____ probability distribution.

z is a standard normal random variable. The P(z ≥ 2.11) equals