Question

>> Question 33 2 pts Which of the following statements is correct? The time people take to complete a survey is an example of a discrete random variable. The relationship between the variance and the standard deviation is such that the standard deviation is the positive square root of the variance A continuous random variable X has an infinite range, i.e.(-0, too). According the empirical rule for normally distributed variables, 75% of the values fall within one standard deviation of the mean Question 34 3 pts

Answer 1

[ Note:

1) We know that time is a continuous random variable.

=> So, 1st statement is incorrect.

2) We know that relationship between variance and standard deviation is given by,

$=>+Standard \ Deviation =\sqrt{Variance}$

i.e. standard deviation is the positive square root of the variance.

=> So, We can say that 2nd statement is correct.

3) We know that a continuous random variable X has an infinite range means that X lieas between [$-\infty$,
+00
] or X has range [$-\infty$,
+00
].

=> So, We get 3rd statement is also incorrect.

4) We know that according to the empirical rule for normally distributed ramdom variables approximately 68% of the values fall within one standard deviation of the mean.

=> So, We get 4th statement is also incorrect.

]

Answer: Correct answer is " 2nd Option " (The relationship between the variance and the standard deviation is such that the standard deviation is the positive square root of the variance.)