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kirill [66]
3 years ago
11

Based on a study of the nations of the world, a researcher finds that wealthier nations generally have a greater percentage of t

he population employed in the public sector than do less fortunate nations. He claims that this relationship is causal; i.e., the wealth of a nation leads to or causes growth in public sector employment. Evaluate this claim with respect to the criteria for assessing causality. Explain your arguments briefly and clearly.
Mathematics
1 answer:
ehidna [41]3 years ago
7 0

Answer:

Answer explained below

Step-by-step explanation:

There is a difference between the two terms correlation and causation. Correlation does not always imply the causation, but causation always implies the correlation.

The correlation is only the statistical or numerical relationship between two variables even they are related or not, but the causation is the relationship between the two variables.

Causation indicates that the result of one variable is the result of the other variable.

For the given scenario, a researcher finds that wealthier nations generally have a greater percentage of the population employed in the public sector. There is a causal relationship exists between the percentage of the population employed in the public sector and wealth of the nation. If the nation is wealthier, then it causes an increment in the employees of the public sector.

The wealth of the nation is the cause for a greater percentage of the population employed in the public sector. If the wealth of nation will increase, the number of employees in the public sector will increase. If the wealth of the nation will decrease, the number of employees in the public sector will also decrease.

There is a positive relationship or association or you can say that there is a positive correlation exists between the two variable ‘wealth’ of a nation and percentage of ‘employees’ in the public sector.

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A military aircraft can travel 740 miles per hour. The distance between Tyndall Air Force Base in Florida and Lakenheath Air For
BARSIC [14]

Answer: 3.5 h

Step-by-step explanation:

<u>1. Data:</u>

a) s = 740 miles / h

b) d = 2,567 miles

c) t = ?

<u>2. Equation:</u>

  • speed = distance / time
  • s = d / t

<u>3. Solution:</u>

  • Solve the equation for t:

        s = d / t ⇒ t = d / s

  • Substitute values:

        t = 2,567 miles / (740 miles/h) ≈ 3.47 h ≈ 3.5 h

   

5 0
3 years ago
A new security system needs to be evaluated in the airport. The probability of a person being a security hazard is 4%. At the ch
ivolga24 [154]

Answer:

(a) 0.9412

(b) 0.9996 ≈ 1

Step-by-step explanation:

Denote the events a follows:

P = a person passes the security system

H = a person is a security hazard

Given:

P (H) = 0.04,\ P(P^{c}|H^{c})=0.02\ and\ P(P|H)=0.01

Then,

P(H^{c})=1-P(H)=1-0.04=0.96\\P(P|H^{c})=1-P(P|H)=1-0.02=0.98\\

(a)

Compute the probability that a person passes the security system using the total probability rule as follows:

The total probability rule states that: P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})

The value of P (P) is:

P(P)=P(P|H)P(H)+P(P|H^{c})P(H^{c})\\=(0.01\times0.04)+(0.98\times0.96)\\=0.9412

Thus, the probability that a person passes the security system is 0.9412.

(b)

Compute the probability that a person who passes through the system is without any security problems as follows:

P(H^{c}|P)=\frac{P(P|H^{c})P(H^{c})}{P(P)} \\=\frac{0.98\times0.96}{0.9412} \\=0.9996\\\approx1

Thus, the probability that a person who passes through the system is without any security problems is approximately 1.

7 0
3 years ago
ⓌⒽⓎ ⓜⓊⓈⓉ ⓉⒽⒺ ⓇⒺⓜⒶⒾⓃⒹⒺⓇ ⒷⒺ ⓁⒺⓈⓈ ⓉⒽⒶⓃ ⓉⒽⒺ ⒹⒾⓋⒾⓈⓄⓇ
Lynna [10]

Answer:

The remainder is the number that is left over after dividing. It is always less than the divisor. The remainder is an essential part of the answer and is shown in the quotient preceded by the letter R.

Step-by-step explanation:

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