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Use the following data. It has been previously established that for a certain type of AA battery (when newly produced), the voltages are distributed normally with $\mu=1.50 \mathrm{V}$ and $\sigma=0.05 \mathrm{V}$.

What percent of the batteries have voltages below $1.54 \mathrm{V} ?$

Intro Stats / AP Statistics

Chapter 22

Introduction to Statistics

Section 4

Normal Distributions

Descriptive Statistics

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Lectures

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03:57

(II) Suppose two batteries…

08:49

(II) Determine the magnitu…

17:23

05:32

Consider the circuit shown…

02:40

01:35

In Fig. $27-26,$ the ideal…

04:44

In Fig. $25.28,$ take all …

01:31

The diode shown in Figure …

01:04

A variable DC battery is c…

09:26

In Fig. $27-41, R_{1}=10.0…

Welcome to New Merida in the current problem We are considering the voltages and the voltages are distributed with a normal distribution with mean at 1 51.50 and sigma being one of 0.5 world. Now the question that are being asked, he is okay let me take a different ink. Yeah is what is the percentage of But it is that could hold of this The low 1.54 Now since it's not a standard value on these uh scale. So I hope you can understand the sigma distance. This is two sigma distance and uh this is terrific MMA and distance. Got it. So we have over here the values that cannot be directly found from here because it will be somewhere like this. So what we do we do our standardization 1.50 divided by 0.05. That would give Probability have said less than 0.04 divided by 0.05. That is the probability of said less than 455 is a superb ability. Said less than 0.0 point Yeah. Now, yes, I bring the normal table uh just a moment. Yeah. So now, if I look at 0.08, The value is seven 881, correct? So this property will be 0.7881. And that will be the percentage will be 78.81 percentage of the total. No, but I was abandoned. These Okay, so this person off all batteries, We'll have a voltage less than 1.54.

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