Question

6. A construction zone on a highway has a posted speed limit of 40 Kilometers per hour. The speeds of the vehicles passing through this construction zone are normally distributed with a mean of 46 kilometers per hour and a standard deviation of 4 kilometers per hour. Find the percentage of vehicles passing through this construction zone that are: a) exceeding the posted speed limit b) traveling at speeds between 50 and 57 kilometers per hour. 7. A machine at Kasem Steel Corporation makes iron rods that are supposed to be 50 inches long. However, the machine does not make all rods of exactly the same length. It is known that the probability distribution of the rods made on this machine is normal with a mean of 50 inches and a standard deviation of .06 inches. The rods that are either shorter than 49.85 inches or longer than 50.15 inches are discarded. What percentage of the rods made on this machine are discarded ? 8. A racing car is one of the many toys manufactured by Mack Corporation. The assembly times for this toy follow a normal distribution with a mean of 55 minutes and a standard deviation of 4 minutes. The company closes at 5 P.M. each day. If one worker starts to assemble a racing car at 4 P.M.. What is the probability that she will finish assembling the toy before the company closes for the day

Answer 1

let x = speed limit you lu= 46,0=4) a) P(x > 40) 2 P(X=ų > 40-461 = P(Z 7-1.5) because normal = f( 2c 1.5) - 0.9332 | PL 50 < x <57) P(50-46 xare 57-4) Pl <2 <2.75 P ( 22 2.75) - P(Z <1) ( Using 0.9970 - 0.8413 नळप 0.1557 4 -- nos As per HomeworkLib ASK EACH guidelines, QUESTION SEPERATELY