# Question: Why is the total area beneath a probability density function

Why is the total area beneath a probability density function equal to 1.0?

**View Solution:**## Answer to relevant Questions

For the normal distribution described in Exercise 7.15, what commuting time will be exceeded on only 10% of Jamal’s commuting days? In exercise Assume a normal distribution with a standard deviation of 5.0 minutes and a ...Drying times for newly painted microwave oven cabinets are normally distributed with a mean of2.5 minutes and a standard deviation of 0.25 minutes. After painting, each cabinet is mated with its electronic modules and ...Approximately 80% of American families have some form of life insurance coverage. For a randomly selected sample of n = 15 families, and the discrete random variable x = the number of families in the sample who are covered ...A random variable is Poisson distributed with λ = 0.02 occurrences per minute. For the corresponding exponential distribution, and x = minutes until the next occurrence, identify the mean of x and determine the ...If a computer statistical package were to simulate 1000 random observations from a normal distribution with μ = 200 and σ = 50, what percentage of these observations would you expect to have a value of 300 or more? Do you ...Post your question