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# Given that $x$ is a normally distributed random variable with a mean of 28 and a standard deviation of $7,$ find the following probabilities.a. $\quad P(x<28)$b. $\quad P(28<x<38)$c. $\quad P(24<x<40)$d. $\quad P(30<x<45)$e. $\quad P(19<x<35)$f. $\quad P(x<48)$

## a. 0.5000b. 0.4236c. 0.6720d. 0.4765e. 0.7428f. 0.9979

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