5) Assume that both arrival and service rate following Poisson distribution. The arrival rate and service rate are 17 and 19 customers/hour respectively,at a single window in RTC reservation counter. Find i) p
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- Q3) The following data represents the score of 40 students in one exam 26 72 41 59 60 88 35 48 11 84 36 73 50 61 95 70 46 56 28 74 14 91 27 22 39 77 44 87 60 45 90 63 43 88 71 29 86 70 69 55 * :b) The Median is 67 67.5 68 68.5 none of all above OThe information below represents some summary statistics for MAT361, fall 2019, students in quiz 1 and quiz 2. [2] Summary statistics Quiz 1 Quiz 2 6. 9 12 12 16 16 (Lowest, Highest) (2, 22) (2, 22) Draw a box plots in a single graph for quiz 1 and quiz 2 using the above information. Explain how the students did in quiz 2 compared to quiz 1?M means median
- please show steps neatly with answer.A class of undergraduate mechanical engineering students was surveyed. Respondents were asked about their political alignment. Of the 340 students who answered that question, 45 declared being conservative, 126 aligned with liberal ideology and 169 saw themselves as moderate. i) Give a frequency table for these data on political alignment. ii) Show how to obtain the corresponding relative frequency distribution and write a short sentence describing it. iii) How many modes do you see? What might explain this? iv) Is the shape symmetric, skewed right or left? What might explain this? Finally, in that same survey, respondents were asked to pick a random number from 1 to 9. v) What type of shape do you expect to see for a histogram displaying their answers and why?The figure above shows three different panels examining the relationship between average price and type of avocado.a)Compare the distributions of the average prices for the conventional and organic avocados. In particular, compare their central locations, spreads and skew to conclude whether there is evidence in this data that the average prices of organic avocados is different from those of conventional avocados.
- if we determine that a problem follows a geometic distribution, show that the probability of a success on the first trial is equal to P. Then, show the sequence of the first five terms as we increase X from 1 to 5Question 4The researcher wishes to use graphical descriptive methods to present summaries of the data on each of the two variables: hours worked per week and yearly income, as stored in file HOURSWORKED.jpga) The number of observations (n) is 65 individuals. The researcher suggests using 7 class intervals to construct a histogram for each variable. Explain how the researcher would have decided on the number of class intervals (K) as 7. b) The researcher suggests using class intervals as 10 < X ≤ 15, 15 < X ≤ 20, …, 40 < X ≤ 45 for the hours per week variable and class intervals 40 < X ≤ 45, 45 < X ≤ 50, ..., 70 < X ≤ 75 for the yearly income variable. Explain how the researcher would have decided the width of the above class intervals (or class width). c) Draw and display a histogram for each of the two variables using appropriate BIN values from part (b) and comment on the shape of the two distributions.In a secondary school, a survey was carried out in which we wanted to know the number of hours that students dedicate to study in two semesters. The following results were obtained: a) Prepare a table by class intervals, with 7 intervals that complies with the two Sturges rules b) Include in the table Class Mark, Absolute Frequency, Accumulated Frequency, Relative Frequency and Accumulated Relative Frequency. c) Determine the Central Tendency Measures (Average, Median and Mode). d) Determine the dispersion measures (Range, Variance and Standard Deviation) e) Calculate the 78th percentile f) Calculate kurtosis index g) Calculate Fisher's skewness index
- 4. The points for drawing the less than ogive curve is given below. (7,6), (14, 11), (21, 18), (28, 30), (35, 45), (42, 55), (49, 63), (56, 67), (63, 70) a) Construct the frequency distribution. b) Find the number of observation less than 42. c) Find the number of observations more than 28.Eht///55BJPRC4rQHWKawiv2z PlohPZXNnCn4sJc6i79t9nMQ/edit $ scholarships Request 1) Marketing: Income What is the income distribution of super shoppers. In the following table, income units are given in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoints are given to the nearest thousand dollars Income 5-15 15-25 25-35 35-45 45-55 55 and range more Midpoint, x 10 20 30 40 50 60 Percent of 21% 14% 22% 15% 20% 8% super shoppers a) Using the income midpoints, x and the percentage of super shoppers, do we have a valid probability distribution? Explain. b) Use a histogram to graph the probability distribution of part (a) c) Compute the expected incomepu of a super shopper. d) Compute the standard deviation o for the income of super shoppers. 2)The director of a health club conducted a survey and found that 23% of members used only the pool for workouts. Based on this information, what is the probability that, for a random sample of 10…The Johnson & Johnson Company operates 6 identical machines that are serviced by a single technician when they breakdown. These breakdowns occur according to the Poisson distribution and average 0.03 breakdowns per machine operating hour. Average repair time for a machine is 5 hours and follows the exponential distribution. a) What percent of the technician's time is spent repairing machines? Answer in 4 decimal places. Blank 1 b) On average, how long is a machine out of service because of a breakdown? Answer in 2 decimal places. Blank 2 c) On average, how many machines are out of service? Answer in 1 decimal place. Blank 3 Blank 1 Blank 2 Blank 3 Add your answer Add your answer Add your answer
