Question

Let x denote the time it takes to run a road race. Suppose x is approximately normally distributed with a mean of 195 minutes and a standard deviation of 24 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race in less than 187 minutes? Round your answer to four decimal places. Attach File Browse My Computer Browse Dropbox Browse Content Collection QUESTION 5 The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.05 and a standard deviation of 0.30. Find the probability that the mean GPA of a random sample of 49 students selected from this university is 2.75 or lower. Round your answer to four decimal places. Attach File Browse My Computer Browse Content Collection Browse Dropbox Click Save and Submit to save and submit. Click Save All Anister to save all answers 30 MacBook Air # 3 $ 4. % 5 8 2

Answer 1

। XNNG 155, (bb PC__x ८ । 8-) = PC2 ८ । 87 - 195) D =) P (2 ८ P (2 ८ - 1/3) 10. 3699 २) XNN 3 . 05, 0.30 ..36 ३. 25-3.5 P८ x ८ = ( 5-16 P(2. ०-38 P (2 ८ -०.3 x7 ) 3 P( 2 ८-7) = |. 97 98 x 212