Can someone check if my answers are correct for these two problems? The table we
ID: 3333413 • Letter: C
Question
Can someone check if my answers are correct for these two problems? The table we used for the standard normal probabilities is also shown.4.35: a) 50.7% b) $18.38 4.36: a) 0.34 b) [-1.08,1.08] .35 mpany pays its employees an average wage of $15.90 an hour with a standard deviation of $1.50. If the wages were approximately normally distributed and paid to the nearest cent, a) What percentage of workers receive wages between $13.75 and $16.22 an hour? What is the cutoff value for highest paid 5% of the employees? 4.36. A soár panel produces, on average, 34.5 kWh (kilowatt-hours) per month, with standard deviation of 2.5 kWh. a) Find the probability that the panel output will be between 35 and 38 kWh in a month. b) Find an interval, symmetric about the mean (that is, [-a, +al for som e a), that contains 72% of monthlv kWh values
Explanation / Answer
as per chegg policies i am answering Q1
MEAN 15.9 SD 1.5 a) P(13.75<X<16.22) P(X<16.22)-P(X<13.75) P(Z<(16.22-15.9)/1.5)-P(Z<(13.75-15.9)/1.5) =NORMDIST(16.22,15.9,1.5,TRUE)-NORMDIST(13.75,15.9,1.5,TRUE) 0.508585212 50.86% b) P(Z<z)= 0.95 z= =NORMSINV(0.95) z= 1.644854 (x-mean)/sd= 1.644854 X = =1.645*1.5+15.9 X = 18.3675