Question

a fuel pump at a gasoline station doesnt always dispense the exact amount displayed on the meter. when the meter reads 1.000 l, the amount of fuel a certain pump dispenses is normally distributed with a mean of 1 l and standard deviation of 0.05 l. let ( x = ) the amount dispensed in a random trial when the meter reads 1.000 l. find ( p(x < 1) ). you may round your answer to two decimal places.

Explanation:

Step1: Recall normal distribution property

For a normal distribution $X \sim N(\mu, \sigma^2)$, the mean $\mu$ is the median, so half the data lies below $\mu$.

Step2: Identify given parameters

Here, $\mu = 1$, so $P(X < \mu) = 0.50$

Answer:

0.50