Like many professionals, the clergy in mainline Protestant churches have pensionplans. Due to the nature of the ministry, investment strategies may involve what areknown as "screens." Screens are rules that prevent a pension fund administrator frominvesting in corporations that are involved with, for example, alcohol, gambling,tobacco and weapons of mass destruction. Ministers may elect to invest in two broadcategories: "regular" and "social purpose" funds, which would typically use screensin their investment strategy. The use of screens may reduce their monthly benefit atretirement.

The data below are from a survey of ministers about their support in principle for theuse of such screens. Each minister asked if the screens should be applied to theregular funds, the social purpose funds, both, or neither. The ministers were alsoclassified by the current percentage of their investments in the social purpose funds:0%, 10 - 59%, 60% or greater.

a) What is the probability that a minister selected at random from those whoparticipated in the survey was uncertain about the use of screens?
b) What is the probability that a minister selected at random from those whoparticipated in the survey was in the 60+% group and supported the use of screensfor social purpose funds only?
c) What is the probability that a minister selected at random from those whoparticipated in the survey felt the screens should be used for social purpose fundsonly or for both social purpose and regular funds, given that they were in the 10-59% group?
d) What is the probability that a randomly selected "uncertain" minister would be inthe 0% group?

Question

Like many professionals, the clergy in mainline Protestant churches have pensionplans. Due to the nature of the ministry, investment strategies may involve what areknown as "screens." Screens are rules that prevent a pension fund administrator frominvesting in corporations that are involved with, for example, alcohol, gambling,tobacco and weapons of mass destruction. Ministers may elect to invest in two broadcategories: "regular" and "social purpose" funds, which would typically use screensin their investment strategy. The use of screens may reduce their monthly benefit atretirement.

The data below are from a survey of ministers about their support in principle for theuse of such screens. Each minister asked if the screens should be applied to theregular funds, the social purpose funds, both, or neither. The ministers were alsoclassified by the current percentage of their investments in the social purpose funds:0%, 10 - 59%, 60% or greater. 
 
a) What is the probability that a minister selected at random from those whoparticipated in the survey was uncertain about the use of screens?
b) What is the probability that a minister selected at random from those whoparticipated in the survey was in the 60+% group and supported the use of screensfor social purpose funds only?
c) What is the probability that a minister selected at random from those whoparticipated in the survey felt the screens should be used for social purpose fundsonly or for both social purpose and regular funds, given that they were in the 10-59% group?
d) What is the probability that a randomly selected "uncertain" minister would be inthe 0% group?

Quizplus · Accepted Answer

The Answer of Like many professionals, the clergy in mainline Protestant churches have pensionplans. Due to the nature of the ministry, investment strategies may involve what areknown as "screens." Screens are rules that prevent a pension fund administrator frominvesting in corporations that are involved with, for example, alcohol, gambling,tobacco and weapons of mass destruction. Ministers may elect to invest in two broadcategories: "regular" and "social purpose" funds, which would typically use screensin their investment strategy. The use of screens may reduce their monthly benefit atretirement.

The data below are from a survey of ministers about their support in principle for theuse of such screens. Each minister asked if the screens should be applied to theregular funds, the social purpose funds, both, or neither. The ministers were alsoclassified by the current percentage of their investments in the social purpose funds:0%, 10 - 59%, 60% or greater. 
 
a) What is the probability that a minister selected at random from those whoparticipated in the survey was uncertain about the use of screens?
b) What is the probability that a minister selected at random from those whoparticipated in the survey was in the 60+% group and supported the use of screensfor social purpose funds only?
c) What is the probability that a minister selected at random from those whoparticipated in the survey felt the screens should be used for social purpose fundsonly or for both social purpose and regular funds, given that they were in the 10-59% group?
d) What is the probability that a randomly selected "uncertain" minister would be inthe 0% group?

Like Many Professionals, the Clergy in Mainline Protestant Churches Have