Brooklyn College Graduates Step In to Depressing Job Market – NYTimes.com.
Even their top graduate is having trouble.
To get a degree in business, management and finance at Brooklyn College, two math courses are required: Calculus I, and, Elementary Probability and Statistics. (A more advanced Prob. and Stat. course can be taken.)
Here are four (of eight) questions from an Elem. Prob. and Stats. final.
1. A collection of 12 experimental cows was fed a special diet for 3 weeks. The following weight gains (in pounds) were observed: 30, 22, 32, 26,24, 40, 34, 36, 32, 33, 28, 30.
(a) Find the sample mean for the observed weight gain.
(b) Find the sample standard deviation for the observed weight gain.
2. Given that X is a random variable having a normal distribution with μ = 20 and = 3, determine
(a) P(X > 25), and (b) P(17 < X < 24).
3. Years of data collection have shown that stalk height distribution in corn production is a random variable with normal distribution having= 10 cm. If 80% of all stalks have height greater than 2 meters, what is the mean height?
4. In a game of chance, three dice are thrown. If all three dice show the same value, the player wins $2. If precisely two of the dice show the same value, the player wins $1. If none of the dice show the same value, the player loses $1. What is the expected value of this game to the player?
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