A random variable follows the continuous uniform distribution between 55 and 90. Calculate the following quantities for the distribution. a) P(x > 61) b) P(x > 65) c) P(x > 85) d) P(x = 75) e) What are the mean and standard deviation of this distribution? a) P(x > 61) = (Type an integer or decimal rounded to three decimal places as needed.) b) P(x > 65) = (Type an integer or decimal rounded to three decimal places as needed.) c) P(x > 85) = (Type an integer or decimal rounded to three decimal places as needed.) d) P(x = 75) = (Type an integer or decimal rounded to three decimal places as needed.) e) The mean of this distribution is (Type an integer or a decimal.) The standard deviation of this distribution is (Type an integer or decimal rounded to two decimal places as needed.)
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\[ P(x > 61) = \frac{90 - 61}{35} = \frac{29}{35} \approx \textbf{0.828} \] Show more…
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