Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Types of bonds are divided into three categories: good risk, medium risk, and po

ID: 3256892 • Letter: T

Question

Types of bonds are divided into three categories: good risk, medium risk, and poor risk. Assume that of a total of 12, 082 bonds, 6, 172 are good risk, 1, 108 are medium risk, and the rest are poor risk. One bond is chosen at random. What is the probability that the bond is not a poor risk? Write only a number as your answer. Round to two decimal places (or example: 0.43) Do not write as a percentage. A group of freshmen and sophomore students was selected and each was asked whether they were a member a student dub. The following table was constructed: Find the probability that a randomly selected student form the group is a freshman or is a member of a student club. Write only a number a your answer. Round to two decimal places (or example: 0.73) Do not write as a percentage.

Explanation / Answer

Ans: 1)Total number of bonds=12082

At Good risk=6172

At medium risk=1108

At poor risk=12082-6172-1108=4802

Bonds not at poor risk=6172+1108=7280

Hence,probability of not choosing a bond at poor risk=7280/12082=0.6025

2)

P(freshman or club)=P(freshman)+P(club)-P(freshman and club)

P(freshman)=(3+8)/(3+8+11+6)=11/28=0.39

P(club)=(3+11)/(3+8+11+6)=14/28=0.5

P(freshman and club)=3/(3+8+11+6)=3/28

P(freshman or club)=(11/28)+(14/28)-(3/28)=(11+14-3)/28=22/28=0.7857