The design load on a hoist is 50 tonnes. The hoist is used to lift packages each having a mean…

The design load on a hoist is 50 tonnes. The hoist is used
to lift packages each having a mean weight of 1.2 tonnes. The weights of
individual packages are known to be normally distributed with a standard
deviation of 0.3 tonnes. If 40 packages are lifted at one time, what is the
probability that the design load on the hoist will be exceeded?

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