2. This year Karen has decided to diversify her business by growing broc- coli as well as lettuce. Karen plants lettuce with a probability of or broccoli with a probability of . By the time these plants are ready to harvest the price of lettuce increases with a probability of and decreases with a probability of . The price of broccoli increases with a probability of , decreases with a probability of or stays the same with a probability of . (a) Draw a probability tree for this scenario. (b) Use the probability tree to determine the probability that Karen plants broccoli and that the price of broccoli increases by the time it is ready to harvest. (c) Use the probability tree to determine the probability that the price of whatever Karen plants increases by the time it is ready to harvest. (d) Calculate Pr(Price of lettuce does not change | Karen plants lettuce). (e) Calculate Pr(Price of broccoli does not changen Karen plants broccoli

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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2. This year Karen has decided to diversify her business by growing broc-
coli as well as lettuce. Karen plants lettuce with a probability of or
broccoli with a probability of . By the time these plants are ready
to harvest the price of lettuce increases with a probability of and
decreases with a probability of 3. The price of broccoli increases with
a probability of , decreases with a probability of or stays the same
with a probability of .
(a) Draw a probability tree for this scenario.
(b) Use the probability tree to determine the probability that Karen
plants broccoli and that the price of broccoli increases by the time
it is ready to harvest.
(c) Use the probability tree to determine the probability that the
price of whatever Karen plants increases by the time it is ready
to harvest.
(d) Calculate Pr(Price of lettuce does not change | Karen plants lettuce).
(e) Calculate Pr(Price of broccoli does not changen Karen plants broccoli).
Transcribed Image Text:2. This year Karen has decided to diversify her business by growing broc- coli as well as lettuce. Karen plants lettuce with a probability of or broccoli with a probability of . By the time these plants are ready to harvest the price of lettuce increases with a probability of and decreases with a probability of 3. The price of broccoli increases with a probability of , decreases with a probability of or stays the same with a probability of . (a) Draw a probability tree for this scenario. (b) Use the probability tree to determine the probability that Karen plants broccoli and that the price of broccoli increases by the time it is ready to harvest. (c) Use the probability tree to determine the probability that the price of whatever Karen plants increases by the time it is ready to harvest. (d) Calculate Pr(Price of lettuce does not change | Karen plants lettuce). (e) Calculate Pr(Price of broccoli does not changen Karen plants broccoli).
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