Define P ( z ≥ 1.45 ) P ( -1.34 ≤ z ≤ 1.52 )
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- Continuous Distributions - Data Management The number of automobile accidents per week in Pascal Ville is normally distributed with a mean of 16.3 accidents and standard deviation of 2.7 accidents. a) What is the z-score for a week with more than 17 automobile accidents? b) What is the z-score for a week with 14 or fewer automobile accidents? c) What is the probability that there will be at least 12 automobile accidents in a given week?Number 1Probability Question required solution
- Q5: Please answer all sectionsHYPERGEOMETRIC DISTRIBUTION: Suppose your friend has 10 cookies, 3 of which are chocolate chip. Your friend randomly divides the cookies equally between herself and you. What is the probability that you get all the chocolate chip cookies? *Poisson Distribution Exercise > The number of telephone calls received by an office on averages is 4 per minute. Find the probability that: V No call will arrive in a given one-minute period. V At least two calls will arrive in a given one-minute period. V At least three calls will arrive in a given two-minute period. > The number of serious accidents, y in a manufacturing plant has approximately a Poisson distribution with a mean of 1.5 accidents per month. What is the probability that: V More than three accidents will occur within a period of one month? V Fewer than three accidents will occur within a period six weeks?
- Q4Using the binomial distribution,If n=10 and p=0.2, find P(x=3)shaded region on the curve and take a screen and paste it in this problem set document as part of your answer to this question. Use the blank ones in your virtual notebook. (b) When 200 shoppers enter the store, how many shoppers would be expected to be in the store between 22 minutes and 52 minutes? 6.) The mean MCAT total score in a recent year is 500. A random sample of 32 MCAT total scores is selected. What is the probability that the mean score for the sample is (a) less than503, (b) more than 502, and between 498 and 501? Assume σ=10.6. (Source: Association of American Medical Colleges) Hand draw the shaded curves and take a screenshot and attach them as part of the work. 7.) Some college students use credit cards to pay for school-related expenses. For these students,the amount paid is normally distributed, with a mean of $1615 and a standard deviation of $550. (a) What is the probability that a randomly selected college student, who uses a credit card to pay for school-related…
