Question: 1) Calculate P (45 < x < 60) if x has a normal distribution with mean of 50 and standard deviation of 5. Draw a

1) Calculate P (45 < x < 60) if x has a normal distribution with mean of 50 and standard deviation of 5. Draw a sketch with the desired probability shaded and show your calculations.

2) The length of time to complete door assembly on an automobile factory assembly line is normally distributed with mean = 6.7 minutes and standard deviation = 1.2 minutes. For a door selected at random, what is the probability the assembly line time will be 5 minutes or more? Draw a sketch with the desired probability shaded and show your calculations

3) The lifetime of a SuperTough AAA battery is normally distributed with mean = 28.5 hours and standard deviation = 5.3 hours. For a battery selected at random, what is the probability that the lifetime will be (a) 24 hours or less? (b) 35 hours or more? (c) between 24 hours and 35 hours? Draw a sketch for each part with the desired probability shaded and show your calculations.

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