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
Advanced	196514
Basic	57808
Less Than Basic	4605
Grand Total	258927

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

Answer: 0.764

(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

Answer: 0.0160

(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

Answer: 0.11

(d)

The expected number of employed people with a basic education is

30 * 0.2233 = 6.699

Answer: 7

(e)

As the education level increases, employment increase.

orchestra answered 1 year ago

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