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7. A normal random variable x has mean μ = 1.7 and standard deviation σ =...

7. A normal random variable x has mean μ = 1.7 and standard deviation σ = 0.17. Find the probabilities of these X-values. (Round your answers to four decimal places.)

(a)   1.00 < X < 1.60

(b)    X > 1.39


(c)   1.25 < X < 1.50

8. Suppose the numbers of a particular type of bacteria in samples of 1 millilitre (mL) of drinking water tend to be approximately normally distributed, with a mean of 81 and a standard deviation of 8. What is the probability that a given 1-mL sample will contain more than 98 bacteria? (Round your answer to four decimal places.)

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