A process characteristic follows a normal distribution with…

A process characteristic follows a normal distribution with a mean of 25.15 and standard deviation of 0.9.  The spec limits for the characteristic are 25.00 +/- 1.5.   If a sample of 9 parts are taken from the process, what is the probability that there will be no parts out of spec in the sample?

A process characteristic follows a normal distribution with…

A process characteristic follows a normal distribution with a mean of 25.15 and standard deviation of 0.9.  The spec limits for the characteristic are 25.00 +/- 1.5.   If a sample of 9 parts are taken from the process, what is the probability that there will be no parts out of spec in the sample?

A bottle of liquid hand soap indicates that it contains 8 oz…

A bottle of liquid hand soap indicates that it contains 8 oz.  In the process of filling the bottles, it is known that 3% of the bottles are under-filled and do not contain the full 8 oz.  If 5 bottles are randomly selected from the process, what is the probability that none of the bottles are under-filled?