The weights of scones in another Box are normally distributed with mu and standard deviation 0.4...

The weights of scones in another Box are normally distributed with mu and standard deviation 0.4 g. It is known that 10% of the scones in this Box weigh less than 4 g. Find the value of mu

Expert Solution

Let X denote the weight of scone in box. Given X has normal distribution with mean and standard deviation .

Then has standard normal distribution.

Given

Then

where Z is standard normal random variable.

From standard normal table

Comparing this we get

orchestra answered 2 years ago

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