A random variable follows the continuous uniform distribution between 55and 80.Calculate the following quantities for the distribution.

a) P(x>64)

b) P(x>65)

c) P(x>75)

d) P(x=66)

e)What are the mean and standard deviation of thisdistribution?

a) P(x>64)=_____ ?(Type an integer or decimal rounded to three decimal places asneeded.)

b)P(x>65)=_____ ?(Type an integer or decimal rounded to three decimal places asneeded.)

c)P(x>75)=_____ ?(Type an integer or decimal rounded to three decimal places asneeded.)

d)P(x=66)=_____ ? (Type an integer or decimal rounded to three decimal places asneeded.)

e) The mean of this distribution is _____ ?(Type an integer or adecimal.)

The standard deviation of this distribution is _____ ?(Type an integer or decimal rounded to two decimal places asneeded.)