You are planting a garden this Spring and you have 3 different kinds of seeds tochoose from: carrot (C), lettuce (L), and bean (B). Unfortunately, there are three peststhat, if they live sufficiently close to you, will eat the young plants—leaving you withnothing for your efforts! These pest are: rabbits (R), molls (M), and gophers (G).By checking with Ag Extension at NMSU, you have learned the following: P{R} = 0.4 → the probability that rabbits present and hungryP{M} = 0.3P{G} = 0.1 P{C | R} = 0.5 → the probability that your carrots get eaten given that you've gothungry rabbits aroundP{L | R} = 0.3P{B | R } = 0.7 P{C | M} = 0.3 → the probability that your carrots get eaten given that you've gothungry moles aroundP{L | M} = 0.4P{B | M} = 0.6 P{C | G} = 0.4 → the probability that your carrots get eaten given that you've gothungry gopher aroundP{L | G} = 0.9P{B | G} = 0.3 a) What is the probability that the lettuce doesn’t get eaten? b) What is the probability that the carrots are eaten and there are hungry rabbits nearby?In other words, determine P (C∩R) . c) If you know that there are hungry gophers and hungry rabbits nearby, what is theprobability that your carrots will be eaten? Assume that the events of the gophers andrabbits eating the carrots are independent. Hello, I need help with part "c". Thanks In advance.
You are planting a garden this Spring and you have 3 different kinds of seeds to
choose from: carrot (C), lettuce (L), and bean (B). Unfortunately, there are three pests
that, if they live sufficiently close to you, will eat the young plants—leaving you with
nothing for your efforts! These pest are: rabbits (R), molls (M), and gophers (G).
By checking with Ag Extension at NMSU, you have learned the following:
P{R} = 0.4 → the
P{M} = 0.3
P{G} = 0.1
P{C | R} = 0.5 → the probability that your carrots get eaten given that you've got
hungry rabbits around
P{L | R} = 0.3
P{B | R } = 0.7
P{C | M} = 0.3 → the probability that your carrots get eaten given that you've got
hungry moles around
P{L | M} = 0.4
P{B | M} = 0.6
P{C | G} = 0.4 → the probability that your carrots get eaten given that you've got
hungry gopher around
P{L | G} = 0.9
P{B | G} = 0.3
a) What is the probability that the lettuce doesn’t get eaten?
b) What is the probability that the carrots are eaten and there are hungry rabbits nearby?
In other words, determine P (C∩R) .
c) If you know that there are hungry gophers and hungry rabbits nearby, what is the
probability that your carrots will be eaten? Assume that the
rabbits eating the carrots are independent.
Hello, I need help with part "c".
Thanks In advance.
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