Calculate the standard deviation for the following values 1, 4, 7, 2, 6. 3.19 2.

Question

Calculate the standard deviation for the following values 1, 4, 7, 2, 6. 3.19 2.28 5.20 1.25 Find the normal distribution. the mean plus and minus 1.96 standard deviations will include about what percent of the observations 50% 99, 7% 95% 68% Which of the following is true in a normal distribution Mean equals the mode and the median Mode equals the median Mean divides the distribution into two equal parts All of the above are correct Mike makes 90% of the free throws he attempts. He is going to shoot 3 free throws. Assume that the results of free throws are independent from each other. He wants to find the probability that he makes exactly 2 of the 3 free throws. 0.318 0.243 0.81 0.531 The following notation is helpful, when we talk about the Poisson distribution, but NOT e: A constant equal to approximately 3.14592. (Actually, e is the base of the natural logarithm system.) mu: The mean number of successes that occur in a specified region. x: The actual number of successes that occur in a specified region. P(x; mu): The Poisson probability that exactly x successes occur in a Poisson experiment, when the mean number of successes is mu. A binomial probability problem has these features, but NOT: A set number of trials Each can be classified as a "success", "failure" or "draw" The probability of success is the same of each trial Results from each trial are dependent on each other. b and d The average number of homes sold by the Eastern Realty company is 2 homes per day. What is the probability that exactly 3 homes will be sold tomorrow? 0.609 0.074 0.180 0.101

Explanation / Answer

1) mean = (1+4+7+2+6)/5 = 4

standard deviation = {[(1-4)2 + 0 + (7-4)2 + (2-4)2 + (6-4)2]/5}1/2

= 2.28 (option b)

2) c. 95%

3) d. All the above are correct

4) P(2 out of 3 throws) = 3C2 x 0.9x0.9x0.1 = 0.243 (option b)

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