Test 6B AP Statistics Name:
Part 1: Multiple Choice. Circle the letter corresponding to the best answer.
1. In the town of Tower Hill, the number of cell phones in a household is a random variable W
with the following distribution:
W0 1 2 3 4 5
P(W) 0.1 0.1 0.25 0.3 0.2 0.05
The probability that a randomly-selected household has at least two cell phones is
(a) 0.20. (b) 0.25. (c) 0.55.
2. A random variable Y has the following distribution:
(d) 0.70. (e) 0.80.
The value of the constant C is:
(a) 0.10. (b) 0.15. (c) 0.20. (d) 0.25. (e) 0.75.
3. A rock concert producer has scheduled an outdoor concert. If it is warm that day, she expects
to make a $20,000 profit. If it is cool that day, she expects to make a $5000 profit. If it is
very cold that day, she expects to suffer a $12,000 loss. Based upon historical records, the
weather office has estimated the chances of a warm day to be 0.60; the chances of a cool day
to be 0.25. What is the producer’s expected profit?
(a) $5,000
(b) $11,450
(c) $13,000
(d) $13,250
(e) $15,050
Y-1 0 1 2
P(Y) 3C2C0.4 0.1
