Question 1-D Please show work how to calculate percentile when mean & standard d

Question

Question 1-D Please show work how to calculate percentile when mean & standard deviation is known.

According to a marketing website, adults in a certain country average 52 minutes per day on mobila devices this year Assume that minutes per day on mobile devices follow the nomal distribution and has a standard deviation of 12 minutes. Complete parts a through d belov a. What is the probablity that the amount of time spent today on mobile devices by an adult is less than 61 minutes? 7734Round to four dacimal places as naeded ) b. What is the probelbillty that the amount of time spent todey on mobile devices by an adult is more than 45 minutes? 719 Round to four decimal places as neadad) c. What is the probability that the amount of time spent today on mobile devices by an adult is between 35 and 46 minutes? 2307 Round to four dacimal places as needed) d. What amount of time spent today on mobile devices by an adult represents the 80th percentile? An amount of eminutes represents the 80th percentile .9 Round to two declmal places as needed)

Explanation / Answer

Solution:- Given that mean = 52,sd = 12
P(X - mu)/sigma = 0.80
=> (X - 52)/12 = 0.8416
= X = 52 + (12*0.8416)
X = 62.10 (rounded)

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