An industrial psychologist has developed a test to identify…

An industrial psychologist has developed a test to identify people with a potential to be good managers. His statistics indicate that 30 percent of the employees in the company positive leadership traits. Past data indicates that 45 percent of those with positive traits are promoted into management, while 10 percent of those without the traits are promoted into management. b) Given that an employee has already been promoted into management, what is the probability that they had the positive leadership traits? Round to the nearest thousandth.

The next five questions use the same problem statement proba…

The next five questions use the same problem statement probability mass function.  Let X be the number of taxis that a customer finds waiting outside of their hotel anytime between 5:00pm and midnight on weeknights. The probability mass function for X is Solve for the following probabilities. Round to the nearest hundredth. a)

An industrial engineer working at UPS studied packages deliv…

An industrial engineer working at UPS studied packages delivered on one specific courier route.  She collects data on 300 packages, shown in the table below, and records when (early, on time, late) and where (business, home) each package was delivered.    Let A denote the event that a package is delivered late.  Let B denote the event that a package is delivered early.  Let C denote the event that a package is delivered to a business.  Use the data recorded to calculate the probabilities below. Round to the nearest hundredth.    Early On Time Late Business 81 112 29 Home 14 33 31   d.) What is the value of ?