Bacteria count number of bacteria in a particular culture fo

Bacteria count: number of bacteria in a particular culture follows normal distribution with mean 11 million and standard deviation 2 million. In what proportion of that culture less than 6 million bacteria produced?
Bacteria count: number of bacteria in a particular culture follows normal distribution with mean 11 million and standard deviation 2 million. In what proportion of that culture less than 6 million bacteria produced?

Solution

The proportion of that culture is less than 6 million bacteria produced is

P(X<6) = P((X-mean)/s <(6-11)/2)

=P(Z<-2.5)

=0.0062 (from standard normal table)

 Bacteria count: number of bacteria in a particular culture follows normal distribution with mean 11 million and standard deviation 2 million. In what proportio

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