# Question: Suppose 80 of students finish high school Of them 50

Suppose 80% of students finish high school. Of them, 50% finish college. Of them, 20% get a masters’ degree. Of them, 30% get a Ph.D.

a. What percentage of students get a Ph.D.?

b. Explain how your reasoning in part a used multiplications rule with conditional probabilities.

c. Given that a student finishes college, find the probability of getting a Ph.D.

a. What percentage of students get a Ph.D.?

b. Explain how your reasoning in part a used multiplications rule with conditional probabilities.

c. Given that a student finishes college, find the probability of getting a Ph.D.

**View Solution:**## Answer to relevant Questions

In Example 8 about Down syndrome, we estimated the probability of a positive test result (predicting that Down syndrome is present) to be P(POS) = 0.257, based on observing 1355 positive results in 5282 observations. How ...An eyewitness to the crime says that the person who committed it was male, between 15 and 20 years old, Hispanic, and drove a blue Honda. The prosecutor points out that a proportion of only 0.001 people living in that city ...An interview in an investment magazine (In the Vanguard, Autumn 2003) asked mathematician John Allen Paulos, “What common errors do investors make?” He answered, “People tend not to believe that markets move in random ...Your friend decides to flip a coin repeatedly to analyze whether the probability of a head on each flip is 1/2. He flips the coin 10 times and observes a head 7 times. He concludes that the probability of a head for this ...The 2011 Statistical Abstract of the United States3 provides information on individuals’ self described religious affiliations. The information for 2008 is summarized in the following table (all numbers are in thousands). ...Post your question