A random variable follows the continuous uniform distribution between 10 and 50. a. Calculate the following probabilities for the distribution. 1. Upper P left parenthesis 15 less than or equals x less than or equals 40 right parenthesisP(15x40) 2. Upper P left parenthesis 15 less than or equals x less than or equals 45 right parenthesisP(15x45) 3. Upper P left parenthesis 15 less than or equals x less than or equals 30 right parenthesisP(15x30) b. What are the mean and standard deviation of this distribution? Question content area bottom Part 1 a. 1. Upper P left parenthesis 15 less than or equals x less than or equals 40 right parenthesisP(15x40)equals= enter your response here (Type an integer or decimal rounded to three decimal places as needed.) Part 2 a. 2. Upper P left parenthesis 15 less than or equals x less than or equals 45 right parenthesisP(15x45)equals= enter your response here (Type an integer or decimal rounded to three decimal places as needed.) Part 3 a. 3. Upper P left parenthesis 15 less than or equals x less than or equals 30 right parenthesisP(15x30)equals= enter your response here (Type an integer or decimal rounded to three decimal places as needed.) Part 4 b. The mean is enter your response here. (Type an integer or decimal rounded to two decimal places as needed.) Part 5 The standard deviation is enter your response here. (Type an integer or decimal rounded to two decimal places as needed.)