1. The following table shows the probability distributions of letter grades from a mathematics class. What is the probability that a randomly chosen student received a letter grade higher than F but lower than A?
Letter Grade _____________ Probability
A .................................... .29
B .................................... .34
C .................................... .21
D .................................... .09
F .................................... .07
2. The colors in a bag of candy-coated milk chocolate candies have the probability distribution in the table that follows. What is the probability of randomly selecting a brown, orange, or red candy?
Color ............................ Probability
Brown .............................. .13
Yellow .............................. .14
Red ................................. .13
Orange .............................. .20
Blue ................................. .24
Green .............................. .16
3. An experiment with outcomes s1, s2, s3, s4 has the following probability distribution:
Outcome _____________ Probability
s1 ................................... .1
s2 ................................... .5
s3 ................................... .2
s4 ................................... .2
Let E = (s1, s2) and F = (s2, s4).
(a) Determine Pr (E) and determine Pr (F).
(b) Determine Pr (E).
(c) Determine Pr (E ¨ F).
(d) Determine Pr (E ´ F).