Forty families gathered for a fund-raising event. Suppose the individual contribution for each family is normally distributed with a mean and a standard deviation of $125 and $32, respectively. The organizers would call this event a success if the total contributions exceed $5,400. What is the probability that this fund-raising event is a success? (You may find it useful to reference the z table. Round final answer to 4 decimal places.) Probability

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A:

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Q: Find the mean and standard deviation of the numbers below.  3 7 5 4 5 6 7 8 6 5

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Q: The length of time that the SAT takes to complete follows some unknown distribution with mean 2.5…

A: Population mean μ =2.5 Population standard deviation =0.25 Sample size n =60 Standard error=S.D/√n…

Q: Looking at the Residual Plot for Blood Pressure, is there evidence of a possible outlier? Group of…

A: In excel first enter the data as: For the smoker variables 0 denotes "No" and 1 denotes "Yes".

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

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Q: How do I get the probability with x bar?

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A:

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A:

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Q: How do I do this problem?

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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!