Question

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Score: 0 of 10 pts 10 of 11 (8 complete) HW Score: 58%, 29 of 50 pts Instructor-created question Question Help Bicycles arrive at a bike shop in boxes. Before they can be sold, they must be unpacked, assembled and tuned (lubricated, adjusted, etc.). Based on past experience, the shop manager assumes the times for each setup phase are independent and follow a normal distribution. The means and standard deviations of the times in minutes) are as shown: Mean SD Unpacking and Assembly 25.1 2.4 Tuning 12.3 2.6 What is the mean total bicycle setup time? 37.4 Round to one decimal as needed. What is the standard deviation of the total bicycle setup time? 3.54 Round to two decimals as needed. A customer decides to buy a bike like one of the display models but wants a different color. The shop has one, still in the box. The manager says they can have it ready in half an hour. What is the chance the bike will be set up and ready to go as promised? (0.0183 Round to four decimals as needed. The bicycle shop will be offering 2 specially priced children's models at a sidewalk sale. The basic model will sell for $120 and the deluxe model for $150. Past experience indicates that sales of the basic model will have a mean of 5.4 bikes with a standard deviation of 1.2, and sales of the deluxe model will have a mean of 3.2 bikes with a standard deviation of 0.8 bikes. What's the chance the shop will sell more deluxe than basic models? 0.0336 Round to four decimals as needed. Assume the shop sells no deluxe models and the cost to set up the sidewalk sale is $500. What's the chance that the sales from the basic models will cover these costs? 0.6293 Round to four decimals as needed.

Answer 1

Poluto | SD Given Mean 95.1 Unpacking & ASSembly 9.4 Tuning 12.3 2.6 V Mean total bicycle Setup time: 26:1+19.3 : 3.4.4 2) Standood deviation of the total bicycle Setup time =1&• 437@•6)* -1 12.52 + 3.54 3.54 / :P (2x -2009) 3) PCXe 30) - P(X. < 30-34:4) =0.0183 9) Mean difference oko models - 5.4-3.2 = 9.2 Standard deviation : 111.97 Corp)? - 12.08 1.4422 :: poobability - P(x<0) 10-92 (6 714433) P(22-1153) : 0.0630 5) Given basic model will sell - $ 120 deluxe modol - $ 150 the poobability of basic model Sales enceed is you = 4• 16+) ) = PCER>-1.03) - 1-P68<-03) el-0.1515 +0.8485, PCX > 4.164) - P(x-ell, 4.164-0.4) 1.9