Exam 5: Continuous Random Variables

During the past six months, 73.2% of households purchased sugar. Assume that these expenditures are approximately normally distributed with a mean of $8.22 and a standard deviation of $1.10. -Find the probability that a household spent more than $16.00

Complete the following statement: Only 20% of the individuals wait less than _____ minutes.

A plant manager knows that the number of boxes of supplies received weekly is normally distributed with a mean of 200 and a standard of 20. -A movie theatre manager knows that the number of patrons per movie is normally distributed with a mean of 200 and a standard deviation of 20.What is the number of patrons,x,where 80% are less than x?

When a ____________ probability distribution is used to approximate a ________ probability distribution we must make a ____________ correction.

A plant manager knows that the number of boxes of supplies received weekly is normally distributed with a mean of 200 and a standard of 20. -What percentage of the time will the number of boxes received weekly be less than 160?

The fuel efficiency rating for a mid-size car is normally distributed with a mean of 32 and a standard deviation of 0.8. What is the probability that the rating for a selected mid-size car would be: -Less than 33.2?

The weight of a product is normally distributed with a mean 5 grams.A randomly selected unit of this product weighs 7.1 grams.The probability of a unit weighing more than 7.1 grams is .0014.The production supervisor has lost files containing various pieces of information regarding this process including the standard deviation.Determine the value of standard deviation for this process.

Suppose that the times required for a cable company to fix cable problems in its customers' homes are uniformly distributed between 40 minutes and 65 minutes -What is the probability that a randomly selected cable repair visit will take at least 50 minutes?

The distance between store outlets in a chain of stores in a large metropolitan city is normally distributed with an average of 50km and a standard deviation of 5km.What is the probability of finding a store between 50km and 60km?

The specific shape of each normal distribution is determined by its _____ and _____.

While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m. -What is the probability that a randomly selected depth is less than 3.60 m?

A probability distribution that describes the time or space between successive occurrences of an event is a(n)_____ probability distribution.

The flying time of a drone airplane has a normal distribution with mean 4.76 hours and standard deviation of .04 hours. What is the probability that the drone will fly: -Less than 4.66 hours?

A company must decide their contribution to their pension plan based on the probability distribution of the length of life of their retired employees. Suppose the probability distribution of the lifetimes of their employees is approximately a normal distribution with μ = 74 years and σ = 8.6 years. -What percentage of their retired employees would receive payments beyond age 85?

An aptitude test has a mean score of 80 and a standard deviation of 5. The population of scores is normally distributed. -What raw score corresponds to the 70^th percentile?

The average time a subscriber spends reading the local newspaper is 49 minutes. Assume the standard deviation is 16 minutes and that the times are normally distributed. -For the 10% who spend the most The average time a subscriber spends reading the local newspaper is 49 minutes. Assume the standard deviation is 16 minutes and that the times are normally distributed.me reading the paper,how much time do they spend?

The flying time of a drone airplane has a normal distribution with mean 4.76 hours and standard deviation of .04 hours. What is the probability that the drone will fly: -What is the probability that a standard normal random variable will be between .3 and 3.2?

For a normal population with a mean of 10 and a variance 4,the P(X ≥ 10)is ___.

The temperature for the month of July with the humidex factor is normally distributed with a mean of 30.05°C with a standard deviation of 0.2°C. -What is the probability that a daily July temperature taken at random will be less than 29.75C?

Consider a normal population with a mean of 10 and a standard deviation 2. -Find P(X < 12).