Suppose the length of a rod produced by a certain machine is uniformly distributed between 2.3...

Suppose the length of a rod produced by a certain machine is uniformly distributed between 2.3 and 2.8 metres.

If the specification of the rod is to be between 2.25m to 2.75m, what proportion of rods from this manufacturer will fail to meet this specification?

Suppose that the compressive strength of cement coming from a certain manufacturer can be modelled with a normal distribution with a mean of 6000 kilograms per square centimetre and a standard deviation of 100 kilograms per square centimetre.

What is the probability that the strength of a product sample would be less than 6250Kg/cm²?
What is the probability that the strength of a product sample would be between 6100 and 6200Kg/cm²?
What strength is exceeded by 95% of the cement produced by this manufacturer?

Expert Solution

orchestra answered 2 years ago

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