ote: Students should use the tool link: https://mathcracker.com/normal-probability-calculator-sampling-distributions (Include the work from the software as part of your answer before submitting the lab) A prototype automotive tire has a design life of 38,500 miles with a standard deviation of 2,500 miles. The manufacturer tests 60 such tires. On the assumption that the actual population mean is 38,500 miles and the actual population standard deviation is 2,500 miles, find the probability that the sample mean will be less than 36,000 miles. Assume that the distribution of lifetimes of such tires is normal. (a) Let X = number of miles on a single tire. Write the question above in terms of this variable X. (b) Using the software tool above, find the probability stated on part (a) (c) Using the software tool above, graph the probability of stated on part (b)

Q: rest

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Q: a) How many students are taking Art?

A: the number of students taking Art if given by 6+10=16

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A: a) Given: A botanist has sampled 3000 seeds and planted them in warm, moist soil. Out of them, 2430…

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A:

Q: Question 7

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Q: 4 yd

A:

Q: Suppose the age that children learn to walk is normally distributed with mean 12 months and standard…

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A: Given,          A product has cost function Cx=x2-2x and revenue function Rx=10x ,           where x…

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Q: How do I differentiate?

A: Given that

Q: ゴメ ボ

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

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A: the meaning of 9.2 is =92/10 that is equal to 46/5

Q: part c pls

A: C) Given that r(u,v)=(u cos v, u sin v, v) with 1,2×0,2π I(x,y,z)=(0,0,x2+y2+z2) Here x=u cos v, y=…

Q: Chapter 2 project

A: Title: Developing a Sustainable Product Line: A Comprehensive Business StrategyIntroduction (300…

Q: How do you find lcd.

A: The Least common denominator or lowest common denominator (LCD) for a set of fractions that you want…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!