Problem 21E

A digital scale that provides weights to the nearest gram is used.

(a) What is the sample space for this experiment? Let A denote the event that a weight exceeds 11 grams, let B denote the event that a weight is less than or equal to 15 grams, and let C denote the event that a weight is greater than or equal to 8 grams and less than 12 grams.

Describe the following events.

Solution :

Step 1 of 9:

Given a digital scale that provides weight to the nearest gram is used.

Our goal is:

a). We need to find what is the sample space for this experiment.

b). .

c). .

d). .

e). .

f). .

g). .

h). .

i). .

a). Now we have to find what is the sample space for this experiment.

Let A, B, and C be the three events.

A is a weight exceeds 11 grams.

B is a weight is less than or equal to 15 grams and

C is a weight is greater than or equal to 8 grams and less than 12 grams.

The nonnegative integers from 0 to the largest integer that can be displayed by the scale is S.

We consider X is the weight.

We know A, B, and C be the three events.

So A is X>11, B is X15, C is 8X < 12.

Then S = {0, 1, 2,...}.