3. Suppose X ~ N(10, 2) a. Find the probability that X is at least 8.5. b. Find the probability that X is at most 7. c. Find the probability that X is between 6 and 14. d. Find x such that P(X< x) = 0.99. e. Find x such that P(X > x) = 0.30.

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3. Suppose X - N(10, 2)
a. Find the probability that X is at least 8.5.
b. Find the probability that X is at most 7.
c. Find the probability that X is between 6 and 14.
d. Find x such that P(X < x) = 0.99.
e. Find x such that P(X > x) = 0.30.
Transcribed Image Text:3. Suppose X - N(10, 2) a. Find the probability that X is at least 8.5. b. Find the probability that X is at most 7. c. Find the probability that X is between 6 and 14. d. Find x such that P(X < x) = 0.99. e. Find x such that P(X > x) = 0.30.
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Comment: As per the our company guidelines we are supposed to answer only three subparts.  Kindly repost other parts in the next question. 

Solution: 

Let X~N(10,2) this means that X has normal distribution with mean μ=10 and standard deviation σ=2.

 

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