An easy-assembly, no-tools-required, gas grill comes with detailed step-by-step instructions. Even though each grill is carefully packaged, there are often missing pieces. This can aggravate the customer and increase the cost to the producer, who must provide phone support and ship the missing parts. Suppose the mean number of missing pieces per packaged grill is 0.7, and one grill is randomly selected from the stockroom.
a. What is the probability that there will be no missing pieces in the package?
b. If there are more than five missing pieces, the producer identifies the packager and issues a warning. What is the probability of a warning being issued at the packaging plant?
c. Suppose three grills are randomly selected. What is the probability that each will have no more than one missing piece?
Because of forced spending cuts in Spring 2013, the Federal Aviation Administration identified 149 air traffic control towers that would be closed.43 In a group of 20 air traffic control towers in the Midwest, five will be closed. Suppose six of the 20 air traffic control towers are selected at random.
a. What is the probability that none of the six air traffic control towers will be closed?
b. What is the probability that at most two of the air traffic control towers will be closed?
c. What is the probability that at least four will be closed?