In: Statistics and Probability
X: Vitamin B content of a slice of bread µ= K microgram where “K” is 54 and σ= 0.005 milligrams. a) According to Chebyshev’s Theorem, what is the interval of vitamin B content that at least 8 out of 9 slices of bread satisfy? b) Assume that X has a normal distribution, find the exact probability of observing the interval you find in part a)Compare and discuss the results.
Clearly here X is a random variable with a probability distribution.
It is given that mean and standard deviation of the distribution of X are 54 mg and .005 mg respectively.
The further derdetai solution is given in the pictures below.
Please go through them carefully specially the notations.
All the best. Thank you.
[NOTE: I have used standard normal table values which you can find on any standard book and on internet]