Bicycles arrive at a bike shop in boxes. Before they can be sold, they must be u

Question

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 creates a model of how long this may take based on the assumptions that the times for each setup phase are independent, each phase follows a Normal model, and the means and standard deviations of the times in minutes are as shown in the table. Complete parts a) and b) a) What are the mean and the standard deviation for the total bicycle setup time? mu = _____ sigma = _____ (Round to two decimal places as needed.) b) A customer decides to buy 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. Do you think the bike will be set up and ready to go as promised? Explain (Round to four decimal places as needed.) A. No, the probability that the bike will be ready in half an hour is B. Yes, the probability that the bike will be ready in half an hour is

Explanation / Answer

here mean of total time =4.5+22.6+13.8=40.9

std deviation =(0.42+2.32+2.82)1/2 =3.65

b) probability of getting ready in half an hour =P(X<30)=P(Z<(30-40.9)/3.65)=P(Z<-2.99)=0.0014

as this is very less therefore option A is correct

please revert for any clarificaiton required

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