ue/False [1pt each]: Circle T for True or F for False. TIF If a distribution is
ID: 3044730 • Letter: U
Question
ue/False [1pt each]: Circle T for True or F for False. TIF If a distribution is skewed to the right, the mean is less than the median. IfX is the time spent for a randomly-selected student to finish this exam, then X is a continuous random variable. TIF T / F P(AlB)+P(A'|B)=1. T F IfA and B are disjoint events, then the probability of A or B occurring equals P(A) +P(B). TIFFor a continuous random variable, P (X = x) = 0 for all x because the area under a density curve at a single value is zero. T F A single outlier has a greater effect on the mean than the median. T F For any list of numbers, half of the values will be below the mean. T F Itis possible for the standard deviation of a list of numbers to equal 0. TIF IfX is the number of questions a randomly-selected student answers correctly on this exam, then X is a continuous random variableExplanation / Answer
1) If a distributon is skewed to the right, the mean is less than the median - False
For right skewed distribution mean is greater than median value
2) If X is the time spent for a randomly selected student to finish this exam, then X is a continuous random variable- True
Because there are infinite number of possible times that can be taken.
3) P(A|B)+P(A'|B) = 1 - True
4) If A nad B are disjoint events , then the probability of A or B occuring equals P(A)+P(B) - True
5) For a continuous random variable , P(X=x) =0 for all x because the area under a density curve at a single value is zero. - True
6) A single outlier has a greater effect on the mean than the median - True
Because, mean is affected by extreme where median is independent of extreme values.
7) For any list of numbers, half of the values will be below the mean. - False
Half of the values below the median and half of the values above the median.
8) It is possible for the standard deviation of a list of numbers to equal 0. - True
Because if there is no varaition in the list of numbers , the standard deviation is =0
example: 2,2,2,2,2 , for this list of number standard deviation = 0
9) If X is the number of questions a randomly selected student answers correctly on this exam , then X is a continuous random varaible- False
For number of questions, the varaible X is discrete random variable.
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