Which of the following is a continuous random variable? Group of answer choices The time to complete a specific task The number of new hires in a year The number bounced check from a bank The outcomes of rolling two dice

Continuous random variables can take infinitely many values.

(a) The time to complete a specific task is a continuous random variable.

Simply put, continuous random variables can take decimal values

Example of such data are heights and distance (5.5 cm, 5.95 m, etc.).

From the list of given options, option (a) represents a continuous random variable because time can take as many values as possible.

The time to complete the task may be 2 hours, 2.55 hours, 2.65 hours, and so on.

However, the number of new hires, bounced checks and outcome of a die can only whole numbers

Hence, (a) The time to complete a specific task is a continuous random variable.

Read more about random variables at:

link

The time to complete a specific task

The number of new hires in a year

Step-by-step explanation:

A continuous variable:-

can assume any value within a specified relevant interval of values assumed by the variable.

For example:- height , weight, time, age

Final answer:-

Time is a continuous variable

The number of new hires in a year

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺