The odds against the occurrence of an event are defined to be the ratio of the probability that the event will not occur to the probability that the event will occur. An integer is to be selected at random from the set of integers from k to n, where k＜n. The odds against the event that the integer selected will be an even integer are 1 to 0.95. Which of the following could be the integers k and n, respectively?
A. 13 and 33
B. 14 and 33
C. 15 and 33
D. 16 and 55
E. 17 and 55
List K consists of 5 different positive integers, each of which is less than or equal to 20. The range of the integers in K is 10. List M consists of 4 of the integers in K and another integer that is 2 times the remaining integer in K. Which of the following values could be the range of the 5 integers in M?
Indicate all such values.
A. 8
B. 15
C. 30
For each value x in a list of values with mean m, the absolute deviation of x from the mean is defined as |x-m|.
A certain online course is offered once a month at a university. The number of people who register for the course each month is at least 5 and at most 30. For the past 6 months, the mean number of people who registered for the course per month was 20. For the numbers of people who registered for the course monthly for the past 6 months, which of the following values could be the sum of the absolute deviations from the mean?
Indicate all such values.
A. 100
B. 90
C. 60
D. 30
E. 10
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