Suppose you sample one value from a uniform distribution with a = 0 and b = 20. a. What is the probability that the value will be between 13 and 16? b. What is the probability that the value will be between 1 and 8? c. What is the mean? d. What is the standard deviation? a. The probability that the value will be between 13 and 16 is ____. (Type an integer or a decimal.) b. The probability that the value will be between 1 and 8 is ____. (Type an integer or a decimal.) c. The mean of the given uniform distribution is μ = ____. (Type an integer or a decimal.) d. The standard deviation of the given uniform distribution is σ = ____. (Round to four decimal places as needed.)
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Step 1
In this case, a = 0 and b = 20. P(13 ≤ x ≤ 16) = (16 - 13) / (20 - 0) = 3 / 20 So, the probability that the value will be between 13 and 16 is: $\boldsymbol{\frac{3}{20}}$ b. Show more…
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