A fair die is rolled n times. Denote the largest number from all rolls as r, r=1,...,6. a. Write out the cumulative distribution function for r b. What is P(r = 3)?
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A fair die is rolled n times. Denote the largest number from all rolls as r, r=1,...,6.
a. Write out the cumulative distribution
b. What is P(r = 3)?
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- The table compares what Plainfield College students did after graduating with a bachelor's degree in 1992, 1998, and 2003. A graphical display of the conditional distributions of what students did after graduation by year is given. Does this study present any evidence that postgraduation plans have changed over this 11-year period? Explain. Choose the best answer below. A. Yes. There is evidence that the percentage of Plainfield College graduates continuing their education and entering the work force directly after receiving a bachelor's degree has increased from 1992 to 2003. B. No. The percentage of Plainfield College graduates continuing their education has increased from 1992 to 2003. Likewise, the percentage of graduates entering the work force directly after receiving a bachelor's degree appears to have decreased from 1992 to 2003. However, this is not sufficient evidence to show any change due to the fact that the number of students graduating has increased over this same…find relative efficiency*. A manufacturer who produces medicine bottles, finds that 0.1% of the Dottles are defective. The bottles are packed in boxes containing 500 bottles. A drug manufacturer buys 100 boxes from the producer of bottles. Using Poisson distribution, find how many boxes witt contain : () no defective. (i) at least two defectives. (Given e 0.5 = 0.6065)
- In order to determine whether or not a driver's education course improves the scores on a driving exam, a sample of 6 drivers were given the exam before and after taking the course. The results are shown below. Assume the population of differences is normally distributed. Driver Score Beforethe Course Score Afterthe Course 1 82 87 2 87 88 3 95 91 4 78 77 5 86 93 6 78 83 Let d = Score After − Score Before. (a) Compute the test statistic. (Round your answer to three decimal places.) (b) Using ? = 0.05 and the p-value approach, test to see if taking the course actually increased scores on the driving exam. Calculate the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion?A self-service store employs one cashier at its counter. 9 customers arrive on an average every 4 minutes. The cashier can serve 3 customers per minute. Assume Poisson distribution for arrivals and exponential distribution for service time. What is the average number of customers in the queue? Select one:a. 2.25b. 3c. 1.286d. 5.25e. 6.75A researcher wanted to determine whether certain accidents were uniformly distributed over the days of the week. The data show the day of the week for n = 296 randomly selected accidents. Is there reason to believe that the accident occu with equal frequency with respect to the day of the week at the a = 0.05 level of significance? E Click the icon to view the table. Distribution of accidents Day of the Week Frequency Sunday Monday Tuesday Wednesday Thursday Friday Saturday o 39 37 31 40 39 51 59 Print Done Compute the expected counts for day of the week Day of the Week Observed Count Sunday Expected Count 39 Monday 37 Tuesday 31 Wednesday 40 Thursday 39 Friday 51 Saturday 59 (Round to two decimal places as needed.) ?) Question Viewer Enter your answer in the edit fields and then click Check Answer. Check Answer Clear All parts 3 remaining MacBook Air DD 12 80 888 F9 10 F7 FS F4 esc F2 F3 F1 & 2$ % de %3D @ # 7 8 1 3 4 Y Q W E R tab J K S D ns lock く .. .- つ エ
- K The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 30 28 28 29 36 23 29 41 27 37 Actor (years) 36 37 27 37 51 38 35 40 59 41 ... Since the P-value is the significance level, the null hypothesis. There sufficient evidence to support the claim that actresses are generally younger when they won the award than actors. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? year(s). The confidence interval is year(s) < d < (Round to one decimal place as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval…Roll a fair 4-sided die. X is the result. Y is that we toss a fair coin X times and count the number of tails Find the joint distribution for X and Y. Find Cov(X,Y).Which one of the following statements is True? The Odds against A equals 1 – Odds in favor of A. For a mound shaped distribution if the skew is positive then the mean is greater than the median. P(n, r) = C(n, r) / r! The probability of an event equals the number of favorable outcomes divided by the number of unfavorable outcomes. A Bimodal distribution is symmetric.
- Help mecoffee extraction One student dissolved 20mg of caffeine in 20mL of water. The student carried out two extractions using 20mL of dichloromethane in each. Caffeine solubility in water: 2.17g / 100mL at 25C Caffeine solubility in dichloromethane: 10.0g / 100mL at 25C a. Determine the distribution coefficient. b. Determine the amount of caffeine obtained in the first extraction. c. Determine the amount of caffeine obtained in the second extraction. d. Determine the total amount of caffeine extracted during the entire process. e. Determine the percent recovery.Qs: A fair coin is tossed three times. Let X denotes 1 or 0 according as a head or a tail occurs on the first toss, and let Y denote the number of tails which occur. Determine (Answer ONLY ONE): a. The distribution of X and Y b. The joint distribution h of X and Y