Question
$X$ is a normally distributed random variable with mean 112 and standard deviation $15 .$ Find the probability indicated.a. $\quad P(100<X<125)$b. $\quad P(91<X<107)$C. $\quad P(118<X<160)$
Step 1
Step 1: First, we need to convert the given values of X into the standard normal variable Z using the formula $Z = \frac{X - \mu}{\sigma}$, where $\mu$ is the mean and $\sigma$ is the standard deviation. Show more…
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a) Assume that the random variable X is normally distributed, with mean μ = 100 and standard deviation σ = 15. Compute the probability P(X < 112). b) Assume that the random variable X is normally distributed, with mean μ = 50 and standard deviation σ = 16. Compute the probability P(10 < X < 60).
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