QUESTION IMAGE
Question
question 4
the distribution of pizza delivery times is approximately normal with a mean of 30 minutes and standard deviation of 5 minutes. use the empirical rule, what is the probability a pizza will be delivered in 20 minutes or less?
0.003
0.05
0.025
0.025
question 5
the heights of women are approximately normal with mean 65 inches and standard deviation 2.5 inches. sabrina is 67.5
Step1: Calculate the z - score
The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $x = 20$ (the value we are interested in), $\mu=30$ (the mean), and $\sigma = 5$ (the standard deviation). So, $z=\frac{20 - 30}{5}=\frac{- 10}{5}=-2$.
Step2: Apply the Empirical Rule
The Empirical Rule for a normal distribution states that about 95% of the data lies within 2 standard deviations of the mean, i.e., $P(-2
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0.025