a) Area of all the shaded region = 0.2 * 1 + 0.2 * 1.5 + 0.4 * 0.75 + 0.2 * 1 = 1
b) P(at most 0.4) = P(X < 0.4) = 0.2 * 1 + 0.2 * 1.5 = 0.5
c) P(greater than 0.8) = P(X > 0.8) = 0.2 * 1 = 0.2
Consider the following relative frequency density histogram. what is the area of all the shaded rectangles...
The total area of the bars in a relative frequency histogram: A. depends on the width of each bar. B. depends on the sample size. C. depends on the number of bars. D. depends on both the sample size and on the number of bars. The most appropriate type of chart for determining the number of observations at or below a specific value is: A. a cumulative frequency ogive B. a pie chart C. a histogram D. a time-series chart
PLEASE do them all Use the rectangles in the following graph to approximate the area of the region bounded by y cos x, y 0, x-. and x 0.8+ 0.6+ 0.4+ 02+ 0.522 1.568 -1.57 -0.524 1.57 0.001 1.045 -1.047 3.1400 1.5700 0.7850 1.1775 2.0933 Use the rectangles in the graph given below to approximate the area of the region bounded by y y 0, x 1 , and x= 4. Round your answer to three decimal places. 7 6...
+1 4 In each of the following graphs there are six rectangles. The area under the graph of f(x) between the vertical lines x=0, x=2 and the x-axis is also shaded RRRR 051 152 RRRRRR • Approximate the area under the curve by considering a lower bound and an upper bound. Why do you think that more rectangles are being used? • Complete the following tables to organize the information. You can create a table with your GDC to calculate...
show work. 1) Graph the histogram for the following frequency table. Calculate the relative and Cumulative Frequencies. Graph the Cumulative Frequency Histograms. Classes Frequency 10-20 4 20-30 7 30-40 15 40-50 17 50-60 8 60-70 3 2) Graph the histogram for the following frequency table. Graph the Frequency Polygon, and the Ogive. Label all points on the graphs. Classes Frequency 0-20 20-40 5 40-60 10 60-80 29 80-100 12 5
Consider the graph 12 10 6, 9) y-f(x 8 (2, 7) (4, 5) (0, 3) (8, 0) 10 (a) Using the indicated subintervals, approximate the shaded area by using lower sums s (rectangles that lie below the graph of f) (b) Using the indicated subintervals, approximate the shaded area by using upper sums S (rectangles that extend above the graph of f) +-14 points SullivanCalc1 5.1.019 Approximate the area A under the graph of function f from a to b...
Make a relative histogram using midpoints, vertical scale ! The following table represents the amount of time a sample of college students spent studying in a week. Find the relative frequency for each class and make a relative frequency histogram of the data using midpoints. Use an appropriate vertical scale. HoursFrequency Relativefrequencv 7- 13 14-?? 15 21 20 21-27 28 -34
iv. Consider the following figure. a) Find the sum of the area of the shaded region. b) Find the sum of the perimeter of the shaded region. Evaluate the indefinite integral as a power series. What is the radius of convergence? da 05 In(1+2) Use the power series in problem 2 to approximate de correct within 5 decimal places,
Consider the following relative frequency distribution: Class Interval to under 10 10 to under 20 20 to under 30 30 to under 40 Relative Frequency 0.2 0.3 0.45 0.05 If there are 2,000 numbers in the data set, how many of the values are less than 30 In a simple random sample each item in the population has
3. For both of the following density histograms below, compute the approximate area of the shaded region (you may complete your work by hand and include a picture with your answer, if you prefer). (2 point) 0.25 015 010 001 CO 5 15 75 . b. 100 100 26 . SE
display the proportion of observations of each class relative to the total number of observations. Frequency distributions e Cumulative relative frequency distributions Relative frequency distributions OHistograms group several values side by side within the same category in a vertical direction. Stacked bar charts Clustered bar charts Pie charts Scatter plots Histograms displaying discrete data usually " have gaps between their bars. True O False Choose a pie chart rather than a bar chart if you want to compare the relative...