MTH 23 Final Esam Page 3 od 9 Foren 2. (10 points) Answer the follewing question

Question

MTH 23 Final Esam Page 3 od 9 Foren 2. (10 points) Answer the follewing questions (a) (S points) An animal shelter has a 67% adoption rate for pu in the shhelter, 65 live to be 7 n or older Of the pupp ies who are adopted,75% live to bey years or older what in the probability that a randomly selected puppy in the shelter will get adopted and live 7 or more yearst Answen The probability is surviving the winter is 38%, and the probability of both is 10% what is the probability that a randomly selected plant will go to seed or survive the winter? (b) (5 points) The probability of a plant going to seed is 24%. The probability of thats me type of plant Answer: The probability is

Explanation / Answer

2. a)

P(Adopted) = 67% = 0.67

P(Not adopted) = P(NA) = 0.33

P(Survive) = 65% = 0.65

P(Adopted / Survive) = 0.75

Required probability = P(Adopted)*P(Adopted/ Survive)= 0.67*0.75 = 0.5025

b)

P(seed) = 24% = 0.24

P(survive) = 38% = 0.38

P(both) = 10% = 0.10

P(seed or survive) = P(seed) + P(survive) - P(both) = 0.24 + 0.38 - 0.10 = 0.52

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