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Americans drank an average of 34 gallons of bottled water per capita in 2014. If the standard deviation is 2.7 gallons and the variable is normally distributed, find the probability that a randomly selected American drank more than 25 gallons of bottled water. What is the probability that the selected person drank between 28 and 30 gallons?

Intro Stats / AP Statistics

Chapter 6

The Normal Distribution

Section 2

Applications of the Normal Distribution

Probability Topics

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Lectures

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soon this question, given the mean and standard deviation, were asked to find probability that Americans will drink more than 25. John's about water. Chicken red is to probe for the excess creator. Five extra represents the gallons drinking water. And since this data is normally distributed, we can use a C score from which Zizek X you over there singing. So now the first step is gonna be plugging 25 x and self disease 25 34 which is a big quoted 3.3. So now we're gonna need to do is find the corresponding ability to disease core value. It's Nick. Thank you. 333 Was your open Jews Your you cheers to no do It's expressed this in terms of z c this greater ninja to treat three the vehicle to she is less three for three that this is probably the refund from detail split up in for you 996 nine six. That's the second part of the problem is asking with probability to the readiness center person drag between 28 and 30 guns one x 4 30 So you were gonna do spit it up into two separate seasons. Core values 12 for yourself or separately. Was you on 28? I stayed for so I see to visit 30 34 to I looked at it Get nothing is too to and they want for a Now we're just gonna be right. This obscene probability to two x Z for age is equal to is equal to probability that see, it's less than negative for eight. I'm just a probability. Let's see, she's less than negative too. To to now we're just gonna check are Z table abilities. Uh, so negative. 222 00132 This gives us Joe 32 14814 Ain't 64 for And now we're just gonna go ahead and plug these two values back here says you put you 69 four your friends, your 132 You're June 562 That's a

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