Question

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:

Given that:

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

True

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

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

False

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

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

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

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 ) The standard deviation of the number 10 is 1.

False

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