High temperatures in a certain city for the month of august follow a uniform distribution over the interval 63 degrees upper f63°f to 93 degrees f. 93°f. what is the probability that a randomly selected august day has a high temperature that exceeded 68 degrees f question mark

Answer: The notation for the uniform distribution is X ~ U (a, b), where a = the lowest value and b = the highest value In your case, X ~ U (66,89) µ = (b+a) / 2 Ď = (b-a) ²/12 In this case, a = 66 and b = 89 Thus, µ = (89+66) / 2 = 77.5 Ď = (89-66) ²/12 = 44.0833 Then, because we now know the true/population µ and Ď, we can use z-scores. z = (X-µ) / Ď In our case, X = 71. So, Z = (X-µ) / Ď Z = (71-77.5) / 44.0833 = - 0.15 P (Z>-0.15) = P (Z<0.15) = 0.5596