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5. Calculate (by hand) the mean and standard deviation for the binomial distribution with the probability of a success being ½and n = 10. Either show work or explain how your answer was calculated. Use these formulas to do the hand calculations: Mean = np, Standard Deviation = .gif”> (4 points)

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Answer Explanation: The mean for Section 1 is 15.2 and the mean for section 2 is 12.9. Notice that the problem description tells us that the distribution follows a normal distribution, therefore we use the mean as the measure of the center of the data set. In (B) and (C), one of each of the values is the median instead of the mean.

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the probability under a Normal distribution for getting in the range from to . For example can be approximated as ∫ where is the Normal distribution: Example: I toss a coin 1000 times, what is the probability that I get more than 550 heads? Answer: The number of heads has a binomial distribution with mean np=500 and

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KEY CONCEPTS: Probability Distribution, Graphical and Tabular representation of Probability Distributions, Probabilities from Probability Distributions. In the examples done earlier, the table and the histogram are two ways of representing the probability mass function, also called the...

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Determine whether the table describes a probability distribution. If it does, find its mean and standard deviation. x P(x) 1 0.002 2 0.026 3 0.119 4 0.265 5 0.234. Find the mean of the random variable. Select the correct choice below and, if necessary. Fill in the answer box to complete your choice.

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The exponential distribution describes the arrival time of a randomly recurring independent event sequence. If μ is the mean waiting time for the next event recurrence, its probability density function is: Here is a graph of the exponential distribution with μ = 1. Problem. Suppose the mean checkout time of a supermarket cashier is three minutes.