A random variable follows the continuous uniform distribution between 55 and 90. Calculate the following quantities for the distribution. a) PD: > 56) [} b) P(x > 70) c) P(x > 81) d) P(x : 72) e) What are the mean and standard deviation of this distribution? a) P(x>56)=|:| (Type an integer or decimal rounded to three decimal places as needed.) b) P(x>70)=D (Type an integer or decimal rounded to three decimal places as needed.) c)P(x>31)=D (Type an integer or decimal rounded to three decimal places as needed.) d) P{x = 72): D (Type an integer or decimal rounded to three decimal places as needed.) a) The mean of this distribution is E). (Type an integer or a decimal.) The standard deviation of this distribution is l] (Type an integer or decimal rounded to two decimal places as needed.)