Question

A producer of electronic book readers is performing a quality check to ensure the reader’s backlight is working correctly. The plant manager tests 2,000 readers on Monday and finds that 8 have defective backlights. The fraction StartFraction 1 over x EndFraction is the experimental probability of a book reader having a defective backlight. What is the value of x?

Answer 1

Answer: Value of x is 250.

Step-by-step explanation:

                        Experimental probability is also known by the name empirical probability. This is different from theoretical probability by the very fact that experimental probability is based on actual experiments and recordings. The Mathematical formula for experimental probability is described as:

Experimental Probability = $\frac{E}{T}$ ,

where E = Number of times a certain event occurred during an experiment &

T = Total number of trials.

In this question , we are given

Total number of reader’s backlight tested by  plant manager = 2000

The number of defective backlights = 8

Now, the experimental probability of a book reader having a defective backlight is given by :-

$\frac{1}{x}$ = $\frac{8}{2000}$

$x$ = $\frac{2000}{8}$

∴ x = 250

Hence, the value of x = 250.

Answer 2

Given :

No of Tests = 2000

No of defective backlights = 8

To Find :

The value of x = ?

Solution :

• We know that

probability = Number of times event occured/Total number of       times

• By substituting the values

       1/x  = 8/2000

       x = 2000/8

       x = 250

The value of x is 250