Exam 5: Continuous Random Variables

The actual weight of hamburger patties can be modeled using a continuous probability distribution is an example of a continuous random variable.

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

For a binomial probability experiment,with n = 150 and p = .2,it is appropriate to use the normal approximation to the binomial distribution.

The z-value tells us the number of _____ that a value of x is from the mean.

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

A plant manager knows that the number of boxes of supplies received weekly is normally distributed with a mean of 200 and a standard deviation of 20. What percentage of the time will the number of boxes received weekly be -Greater than 210 or Less than 180

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?

A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard deviation of 9. -What percentage of students scored between 65 and 89?

Consider a normal population with a mean of 10 and a standard deviation 2. -Find P(X < 6).

Suppose that the waiting time for a pizza to be delivered to an individual's residence has been found to be normally distributed with a mean of 30 minutes and a standard deviation of 8 minutes. What is the probability that a randomly selected individual will have a waiting time -At least 10 minutes

A student's grade on an examination was transformed to a z value which is negative.Therefore,we know that the student scored:

Suppose the distribution of personality test scores is normally distributed with a mean of 15 and a variance of 25. -What is the probability of finding a person who scores less than 10?

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 within 1 standard deviation of the mean?

A normal population has a mean of 10 and a variance of 4.What is P(X > 7)?

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 greater than 200?

If the random variable of x is normally distributed,____% of all possible observed values of x will be within three standard deviations of the mean.

The area under the curve of a valid continuous probability distribution must equal _____.

The price-to-earnings ratio for firms in a given industry is distributed according to normal distribution.In this industry,a firm with a standard normal variable value of z = 1:

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 no less than 55km away?

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. -What proportion of the households spent between $5.00 and $9.00?