The salaries of the employees of a corporation are normally distributed with a mean of $25,000 and a standard deviation of $5,000.

a.What is the probability that a randomly selected employee will have a starting salary of at least $31,000?

b.What percentage of employees has salaries of less than $12,200?

c.What are the minimum and the maximum salaries of the middle 95% of the employees?

d.If sixty-eight of the employees have incomes of at least $35,600, how many individuals are employed in the corporation?

The salaries of the employees of a corporation are normally distributed with a mean of $25,000 and a standard deviation of $5,000.

a.What is the probability that a randomly selected employee will have a starting salary of at least $31,000?

b.What percentage of employees has salaries of less than $12,200?

c.What are the minimum and the maximum salaries of the middle 95% of the employees?

d.If sixty-eight of the employees have incomes of at least $35,600, how many individuals are employed in the corporation?

The time it takes a worker on an assembly line to complete a task is exponentially distributed with a mean of 8 minutes.

a.What is the probability density function for the time it takes to complete the task?

b.What is the probability that it will take a worker less than 4 minutes to complete the task?

c.What is the probability that it will take a worker between 6 and 10 minutes to complete the task?

The price of a bond is uniformly distributed between $80 and $85.

a.What is the probability that the bond price will be at least $83?

b.What is the probability that the bond price will be between $81 to $90?

c.Determine the expected price of the bond.

d.Compute the standard deviation for the bond price.