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Lunna [17]
2 years ago
12

A total of 655 persons have multiple job in a city. Of them, 381 are male, 299 are married and 168 are make and married. Find th

e probability that a randomly selected person with multiple jobs is a male or remarried.​
Mathematics
1 answer:
Nimfa-mama [501]2 years ago
6 0

Probabilities are used to determine the chances of events

The probability that a randomly selected person with multiple jobs is a male or married is  0.782

<h3>How to determine the probability</h3>

The given parameters are:

Sample size, n = 655

Male = 381

Married = 299

Male and Married = 168

The number of those that are male or married is calculated as:

Male or Married = Male + Married - Male and Married

So, we have:

Male or Married = 381 + 299 - 168

Evaluate

Male or Married = 512

The probability is then calculated as:

p = 512/655

Evaluate

p = 0.782

Hence, the probability that a randomly selected person with multiple jobs is a male or married is  0.782

Read more about probability at:

brainly.com/question/25870256

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A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with σ=0.0
oksian1 [2.3K]
<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

\overline{x}\pm z^* SE                   (1)

, where \overline{x} = sample mean

z* = critical value.

SE = standard error

and SE=\dfrac{\sigma}{\sqrt{n}} , \sigma = population standard deviation.

n= sample size.

As per given , we have

\overline{x}=74.021

\sigma=0.001

n= 15

It is known that ring diameter is normally distributed.

SE=\dfrac{0.001}{\sqrt{15}}=0.000258198889747\approx0.000258199

By z-table ,

The critical value for 95% confidence  = z*= 1.96

A 99% two-sided confidence interval on the true mean piston diameter :

74.021\pm (2.576) (0.000258199)     (using (1))

74.021\pm 0.000665120624

74.021\pm 0.000665120624\\\\=(74.021- 0.000665120624,\ 74.021+ 0.000665120624)\\\\=(74.0203348794,\ 74.0216651206)\approx(74.020,\ 74.022)  [Rounded to three decimal places]

∴  A 99% two-sided confidence interval on the true mean piston diameter  = (74.020, 74.022)

By z-table ,

The critical value for 95% confidence  = z*= 1.96

A 95% lower confidence bound on the true mean piston diameter:

74.021- (1.96) (0.000258199)    (using (1))

74.021- 0.00050607004=74.02049393\approx74.020 [Rounded to three decimal places]

∴  A 95% lower confidence bound on the true mean piston diameter= 74.020

7 0
3 years ago
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Goryan [66]
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For which survey is a sample not necessary?
BARSIC [14]

Answer:

<h2>How many car accidents involve airbag malfunctions?</h2><h2 />

This is because there's no need to survey an entire population for accurate results.

The other 3, regarding Colorado residents, middle school students, and classmates are considered a population.

For testing the amount of car accidents, a population is not needed.

<em />

<em>I hope this helped you!</em>

7 0
3 years ago
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In simplest radical form, what are the solutions to the quadratic equation 6 = x2 – 10x?
bezimeni [28]

Answer:

Step-by-step explanation:

quadratic equation: ax² + bx + c =0

x' = [-b+√(b²-4ac)]/2a   and x" =  [-b-√(b²-4ac)]/2a  

6 = x² – 10x ; x² - 10x -6 =0

(a=1, b= - 10 and c = - 6

x' = [10+√(10²+4(1)(-6)]/2(1)  and x" = [10-√(10²+4(1)(-6)]/2(1)

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