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[8 pts] The height of a certain plant after 1-week ranges from 1 cm to 5 cm with a uniform probability distribution. The graph
[8 pts] The height of a certain plant after 1-week ranges from 1 cm to 5 cm with a uniform probability distribution. The graph is given below. Using this distribution, answer the following questions: 0.25 0.5 25 3.5 4.5 a) What's the probability that after 1 week the plant will be between 2 and 4 cm tall? P (25x34) = 0.25 =0.25-4-23 = 0.25-2 =0.50 The probability that the plant will be between 2cm and 4cm tall after 1 week is 50%. b) What's the probability the plant will be at least 3.5 cm tall? P(x 3.5)=1-P(x 3.5) =1-4(3.5) =1-0.25 =0.75 I The probability that the plant will be at least 3.5cm tall is I 75%. c) What's the probability the plant will be under 1.5 cm, or over 4.5 cm?
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