The time required to play a certain game is uniformly distributed between 30 and 70 minutes. Complete parts a through c below. ..... a. Find the expected value and variance of the time to complete the...

Extracted text: The time required to play a certain game is uniformly distributed between 30 and 70 minutes. Complete parts a through c below. ..... a. Find the expected value and variance of the time to complete the game. The expected value of the time to complete the game is 50 minutes. (Type an integer or decimal rounded to two decimal places as needed.) The variance of the time to complete the game is 133.33 (Type an integer or decimal rounded to two decimal places as needed.) b. What is the probability of finishing within 57 minutes? (Type an integer or decimal rounded to three decimal places as needed.) c. What is the probability that the game would take longer than 43 minutes? (Type an integer or decimal rounded to three decimal places as needed.)