47 50 53 56 59 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The graph could not represent a variable with a normal distribution because the curve has two modes. O B. The graph could represent a variable with a normal distribution because the curve is symmetric and bell-shaped. Its mean is approximately and its standard deviation is approximately (Round to one decimal place as needed.) OC. The graph could not represent a variable with a normal distribution because the curve crosses the x-axis O D. The graph could not represent a variable with a normal distribution because the graph is skewed to the left O E. The graph could not represent a variable with a normal distribution because the curve is constant O F. The graph could not represent a variable with a normal distribution because the graph is skewed to the right.

Find the area of shaded region. The graph depicts IQ scores that are normally distributed with a mean 100 and standard deviation of 15. What is the area of the shaded region. Round to four decimal points.

Need it in 15min

Solve A through F

The data in the table represent the ages of the winners of an award for the past five years. Use the data to answer questions​ (a) through​ (c).   25 30 61 48 42   a. Determine the population mean​ age, μ​, of the five winners.   μ=________________ ​(Type an integer or a​ decimal.)   b. Consider samples of size 3 without replacement. Find the mean of the variable x.   Ages x     Ages x Full data set        25, 30, 61 38.67     25, 48, 42 38.33       25, 30, 48 34.33     30, 61, 48 46.33       25, 30, 42 32.33     30, 61, 42 44.33       25, 61, 48 44.67     30, 48, 42 40.00       25, 61, 42 42.67     61, 48, 42 50.33         The mean of the variable x is ______________. ​(Round to two decimal places as​ needed.)   c. Find μx​, using only the result of part​ (a).   μx=_________________ ​(Type an integer or a​ decimal.)

q3-  For categorical data: Select one or more: a. We can't apply boxplot to show its distribution b. We can apply aggregate functions. c. We can't use histogram to show its distribution. d. The interval between units is the same.

Shaded diagram.. 3. The random variable X has a normal distribution with mean 80 and standard deviation 6. Choose random samples of size 40 from this distribution. Let X be the random variable of sample means. (5) a. What is the distribution of X ? (5) b. What is the mean of X ? y

10. The following dot plot shoes the test scores for 10 students on a unit exam. Which shape most accurately describes these data? A. Skewed left B. Skewed right C. Normal Distribution Test Resuits D. Constant + 50 60 70 80 100 Test Score LEGO xx+8 XXxx-

The accompanying data represent the wait time (in minutes) for a random sample of 40 visitors to a popular attraction in a large amusement park. Use the sample data to complete parts (a) through (d). Click the icon to view the data for wait times. (a) Construct a relative frequency histogram of the data. Comment on the shape of the distribution. Choose the correct graph below. O A. ARelative Freq. 0.6- 0+ 60 Wait Time (min.) What is the shape of the distribution? O O E A. Q 60 B. No A. Yes, there is(are) B. A Relative Freq. 0.6 outlier(s). 07 0 60 Wait Time (min.) O A. The distribution is bell-shaped and roughly symmetric about its peak between 25 and 30 minutes. B. The distribution is right-skewed because the peak is between 0 and 5 minutes and the right tail is much longer than the left tail. C. The distribution is left-skewed because the peak is between 55 and 60 minutes and the left tail is much longer than the right tail. D. The distribution is right-skewed because the peak is…

Find the mean for the data items in the given frequency distribution. 6. 8. Score, x Frequency, f 3 1 The mean IS Round to 3 decimal places as needed.) 55 4/3 3/5 26 1.