Question

10-3
Generating Random Samples
Practice and Problem Solving: A/B
Use the description below to complete Exercises 1-3.
In a set of 1,000 integers from 1 to 1,000, an integer chosen at random on
a single trial should be an integer from 1 to 25 about 25 out of every 1,000
trials, or one out of every 40 integers selected.
Trial 1
406
1. A sample of 5 integers selected is shown. Does this
sample represent the general rule for picking an
integer from 1 to 25 in the population of integers from
1 to 1,000? Explain.
Trial 2
734
Trial 3
44
Trial 4
340
Trial 5
996
2. How many integers between 1 and 25 would you
expect to appear in a sample of 80 trials? Explain.

Answer 1

Integers are all set of numbers without decimal points

• The trial does not represent the general rule
• 2 integers between 1 and 25 are expected to appear in 80 trials

How to determine the general rule

The sample space of 5 trials is too small to determine the general rule for picking integers from 1 to 5

Hence, the trial does not represent the general rule

The expected number of appearance

Start by calculating the probability of selecting a number from 1 to 25 in 1000 integers.

The probability is:

$p = \frac{25}{1000}$

$p = 0.025$

The expected number of appearance is then calculated as:

$E(x) = np$

Where n represents the number of trials.

So, we have:

$E(x) = 80 * 0.025$

$E(x) = 2$

Hence, 2 integers between 1 and 25 are expected to appear in 80 trials

Read more about probability at:

https://brainly.com/question/25870256