Question

Questions

1. [10 marks] For each of the following statements, identify whether the statement is true or false, and explain why. Please limit each response to no more than 2 sentences.

a) The probability that a continuous random variable takes a specific value is 0.

b) Statistical inference is the process of drawing conclusions about unknown statistics by using known parameters.

c) The terms “histogram” and “bar graph” are synonyms.

d) If two events A and B are independent, then there is no overlap between the events on a Venn diagram.

e) The standard deviation of the number 10 is 1.

Answer 1

ANSWER::

a ) True

because, In continuous function at particular point derivative became zero. so probability also became zero.

b ) False

because, statistical inference draw the conclusion about unknown parameter using population based on a random sample from population.

c ) False

because, in terms histograms each column represent a group defined by continuous, quantitative variable and bar graph each column represent a group defined by a categorical variable.

d ) True

because, A and B are independent means they are mutually exclusive and probability of occurrence of one of them is not affected by the occurrence of the other.

e ) False

because, no other information given about the number 10  and standard deviation itself is 0. That is mean deviation about mean is zero.

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