Company F sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four pieces. Occasionally the manufacturing process results in a fabric defect. Let the random variable X represent the number of defects on a fat quarter created by Company F. The following table shows the probability distribution. If a fat quarter has more than 2 defects, it cannot be sold and is discarded. Let the random variable Y represent the number of defects on a fat quarter that can be sold by Company F. (a) Construct the probability distribution of the random variable Y.

Asapembassies differ from consulates in thata) compared to a consulate, an embassy is a smaller representation of a nation's government in a foreign country. b) consulates are permanent diplomatic missions generally located in a country’s capital, whereas a country may have a number of embassies in various cities. c) embassies are permanent diplomatic missions generally located in a country’s capital, whereas a country may have a number of consulates in various cities. d) embassies deal solely with economic diplomacy and trade relations, whereas consulates deal primarily with political and diplomatic relations with the host nation. e) countries establish embassies in another nation only if it recognizes the sovereignty of that country, whereas consulates exist without regard to recognition of a nation's sovereignty.