Find the probability that a single randomly selected value is greater than 50.9. P(X > 50.9) = Find the probability that a sample of size n = 26 is randomly selected with a mean greater than 50.9.

Scores for students on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 108. A random sample of 36 students who took the SAT-I test is selected. Let ?̅ represent the mean score of the sample.   4. The probability that the sample mean score ?̅ is greater than 540 is about (a) 0.9573 (b) 0.5427 (c) 0.6554 (d) 0.0427 (e) 0.17

Pls help ASAP and show all work and calculations.

The average time to run the 5K fun run is 24 minutes and the standard deviation is 2.3 minutes. 11 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. 1. Find the probability that the randomly selected 11 person team will have a total time more than 265.1? 2. The top 10% of all 11 person team relay races will compete in the championship round. These are the 10% lowest times. What is the longest total time that a relay team can have and still make it to the championship round?