the life of a certain brand of battery is normally distributed, with mean 128 hours and standard deviation…

the life of a certain brand of battery is normally distributed, with mean 128 hours and standard deviation 16 hours. what is the probability that a battery you buy lasts at most 100 hours? standardize the variable. x = 100 is equivalent to z = -0.57 0.57 -1.75 1.75 done

the life of a certain brand of battery is normally distributed, with mean 128 hours and standard deviation 16 hours. what is the probability that a battery you buy lasts at most 100 hours? standardize the variable. x = 100 is equivalent to z = -0.57 0.57 -1.75 1.75 done

Answer

Answer:

-1.75

Explanation:

Step1: Recall z - score formula

The formula for the z - score is $z=\frac{x-\mu}{\sigma}$, where $x$ is the value from the original normal distribution, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Identify values

We are given that $\mu = 128$, $\sigma=16$, and $x = 100$.

Step3: Calculate z - score

Substitute the values into the formula: $z=\frac{100 - 128}{16}=\frac{-28}{16}=-1.75$.