High temperatures in a certain city for the month of August follow a uniform dis

Question

High temperatures in a certain city for the month of August follow a uniform distribution over the interval 79F to 97F. What is the probability that the high temperature on a day in August exceeds 94F? [Round to four decimal places] 0.1667 You are correct. Your receipt no. is 158-4537Previous Tries What is the probability that the high temperature on a day in August is within 1.1 standard deviation of mean temperature? [Round to four decimal places] 0.1222 Submit Answer Incorrect. Tries 4/5 Previous Tries Above what temperature are 60% of the daily high temperatures of August? [Round to two decimal places] 86.20 You are correct. Previous Tries Your receipt no. is 158-2303

Explanation / Answer

here mean of uniform distribution =(a+b)/2 =(79+97)/2=88

and std deviation =(b-a)/(12)1/2 =5.196152

hence probability that temerature is within 1.1 std deviatrion from mean =(2*1.1*5.196152)/(97-79)=0.635085~0.6351

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