On Professor Hardtack's last cost accounting exam, the mean score was 71, the median was 77, and the mode was 81. (a) Check the appropriate choice of the distribution, based on the statistics given. a. The distribution should be skewed to the left because the mean is less than the median. b. The distribution should be skewed to the left because the standard deviation is less than the median. c. The distribution should be skewed to the right because the mean is less than the median. d. The distribution should be skewed to the right because the coefficient of variance is less than the median. (b) Select the factor that might cause the distribution to be like this. (You may select more than one answer. Click the box with a check mark for the correct answer and double click to empty the box for the wrong answer.) a. Many students did not study for the exam b. No students scored a C c. Few students did not study for the exam d. Most students scored a C or higher

A. The correct answer is A. The distribution should be skewed to the left because the mean is less than the median.

B. The correct answers are:

C. Few students did not study for the exam

D. Most students scored a C or higher.

Step-by-step explanation:

A. Let's recall that skewness is "a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. The skewness value can be positive, zero, negative, or undefined."

According to this definition, we have that on Professor Hardtack's last cost accounting exam, the mean score was less than the median and less than the mode, therefore, using the Pearson’s first coefficient of skewness, the distribution is negatively skewed or left-skewed.

The correct answer is A. The distribution should be skewed to the left because the mean is less than the median.

B. If  the mean score was 71, the median was 77, and the mode was 81, therefore, we have that:

The majority of the students scored equal to or higher than 71 (C) and just a little amount of students scored less than 71 because they did not study for the exam. Therefore, the correct options are:

C. Few students did not study for the exam

D. Most students scored a C or higher.

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step-by-step explanation:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.