##### Question

In: Statistics and Probability

# the results of a survey in which people from high income countries were asked to report...

the results of a survey in which people from high income countries were asked to report their level of education (less than basic, basic and advanced) and whether they were employed or not. The results are in thousands and are for the 2016-17 period.

You work for a Human Resources firm interested in global employment trends. You randomly sample 30 employed people from high income countries and ask them about their level of education.

a) What is the probability that 24 or fewer of these people would have an advanced education? (Round to 3 decimals)

b) What is the probability that 3 or more of these people would have a less than basic education? (Round to 4 decimals)

c) What is the probability that at least 10 of these people would have a basic education? (Round to 2 decimals)

d) What's the expected number of employed people with a basic education (Round to the nearest integer)?

e) What does this data tell you about employment and education in high income countries?

Sum of Number of Employed People (Thousands)
Education Total
Basic 57808
Less Than Basic 4605
Grand Total 258927

## Solutions

##### Expert Solution

Following table shows the relative frequency:

 Sum of Number of Employed People (Thousands) Education Total, f Relative frequency, f/258927 Advanced 196514 0.759 Basic 57808 0.2233 Less Than Basic 4605 0.0178 Grand Total 258927 1

(a)

Let X is a random variable shows the number of students out of 30  have an advanced education. Here X has binomial distribution with parameter n=30 and p=0.759. The probability that 24 or fewer of these people would have an advanced education is

(b)

Let X is a random variable shows the number of students out of 30  have less than basic education. Here X has binomial distribution with parameter n=30 and p=0.0178.

The probability that 3 or more of these people would have a less than basic education is

(c)

Let X is a random variable shows the number of students out of 30  have basic education. Here X has binomial distribution with parameter n=30 and p=0.2233.

The probability that at least 10 of these people would have a basic education is

(d)

The expected number of employed people with a basic education is

30 * 0.2233 = 6.699

(e)

As the education level increases, employment increase.

## Related Solutions

##### In a Survey people were asked to report their level of Math Anxiety as High, Medium,...
In a Survey people were asked to report their level of Math Anxiety as High, Medium, Low or None. The table below reflects the results. The question is: Is there evidence that the level of math anxiety is different for female and male students at the α = 0.1 level of significance? Perform a Test for Homogeneity of Proportions. High/Medium Low/None Female 19 9 Male 12 8
##### The table shows the results of a survey that asked 2850 people whether they were involved...
The table shows the results of a survey that asked 2850 people whether they were involved in any type of charity work. A person is selected at random from the sample. Find the probability of each event. Give your answers as simplified fractions or as decimals rounded to 3 places. Frequently Occasionally Not at all Total Male 221 456 795 1472 Female 207 430 741 1378 Total 428 886 1536 2850 a) What is the probability that the person is...
##### The following represents the results of a survey in which individuals were asked to share what...
The following represents the results of a survey in which individuals were asked to share what they perceive to be the ideal number of children. 0 1 2 3 4 5 6 Female 11 8 92 65 35 3 2 Male 8 15 74 42 21 3 1 a. What is the probability an individual believes the ideal number of children is 2? b. What is the probability an individual is male and believes the ideal number o f children...
##### 4) A magazine reported the results of a survey in which readers were asked to send...
4) A magazine reported the results of a survey in which readers were asked to send their responses to several questions regarding good eating. DataSet for question 4,5,6 is the reported results to the question, How often do you eat chocolate? Based on the data answer the following questions. a) Were the responses to this survey obtained using voluntary sampling technique? Explain b) What type of bias may be present in the response? c) is 13% a reasonable estimate of...
##### The following is a report from a BLS survey taker: “There were 70 people in the...
The following is a report from a BLS survey taker: “There were 70 people in the houses I visited. 12 of them were children under the age of 16, 25 people had full-time jobs, and 6 had part-time jobs. There were 10 retirees, 5 full-time homemakers, 5 full-time students over age 16, and 2 people who were disabled and cannot work. The remaining people did not have jobs, but all said they would like one. One of these people had...
##### The table below shows the results of a survey that asked 28632863 people whether they are...
The table below shows the results of a survey that asked 28632863 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts​ (a) through​ (e). Frequently    Occasionally Not at all Total Male 224 456 791 1471 Female 205 440 747 1392 Total 429 896 1538 2863 ​(a) Find the probability that the person is frequently or occasionally involved in charity work. Upper P left parenthesis being frequently involved...
##### The table below shows the results of a survey that asked 2867 people whether they are...
The table below shows the results of a survey that asked 2867 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts​ (a) through​ (b). Frequently    Occasionally Not at all Total Male 221 453 792 1466 Female 208 450 743 1401 Total 429 903 1535 2867 ​(a) Find the probability that the person is frequently or occasionally involved in charity work. P(being frequently involved or being occasionally involved)=...
##### The table below shows the results of a survey that asked 2864 people whether they are...
The table below shows the results of a survey that asked 2864 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts​ (a) through​ (d). Frequently    Occasionally   Not at all   Total Male 228 458 792   1478 Female 205 440 741   1386 Total 433 898 1533 2864 ​(a) Find the probability that the person is frequently or occasionally involved in charity work. Upper P left parenthesis being frequently...
##### The following is a report from a not-very-efficient BLS survey taker: “There were 100 people in...
The following is a report from a not-very-efficient BLS survey taker: “There were 100 people in the houses I visited. 24 of them were children under the age of 16, 25 people had full-time jobs, and 12 had part-time jobs. There were 10 retirees, 5 full-time homemakers, 11 full-time students over age 16, and 3 people who were disabled and cannot work. The remaining people did not have jobs, but all said they would like one. Seven of these people...
##### In a survey, people were asked "Which flavor of ice cream do you like, chocolate or...
In a survey, people were asked "Which flavor of ice cream do you like, chocolate or vanilla?" The result is summarized in the following table. Each number is the frequency (count) falling into that cell. Chocolate Vanilla Neither Children 38 26 92 Teens 87 92 14 Adults 21 62 78 What is the percent of children who like chocolate ice cream among all the people responded in this survey? Round your answer to the nearest 0.01. Flag this Question Question...