# Conditional Probability Formula and Contingency Tables

In a large accounting firm, the proportion of accountants with MBA degrees and at least 5 years of professional experience is 0.75 times the proportion of accountants with no MBA degree and less than 5 years of professional experience. Furthermore, 35% of the accountants in this firm have MBA degrees, and 45% have less than 5 years of professional experience.

(a) What is the probability of a randomly selected accountant to have at least 5 years of professional experience?

(b) What proportion of accountants with MBA degrees have at least 5 years of professional experience?

(c) What is the probability of a randomly selected accountant to have at least 5 years of professional experience and no MBA degree?

(d) If one of the firm's accountants is selected at random, what is the probability that this accountant has an MBA degree or at least 5 years of professional experience but not both?

https://brainmass.com/statistics/descriptive-statistics/conditional-probability-formula-contingency-tables-559075

#### Solution Preview

We are given P(MBA)=0.35, so P(no MBA)=1-0.35=0.65.

P(less than 5 years | MBA)=0.45 , so P(at least 5 years | ...

#### Solution Summary

The solution gives detailed steps on calculating the conditional probability under different conditions using contingency tables.

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4. Define odds. What does it mean to say that odds are usually quoted against an event?

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7. (a) What is a contingency table? (b) How do we convert a contingency table into a table of relative frequencies?

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