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katovenus [111]
1 year ago
8

Solve the problem using 6.2%, up to $128,400 for Social Security tax and using 1.45%, no wage limit, for Medicare tax.

Mathematics
1 answer:
N76 [4]1 year ago
7 0

Based on the Social security tax and the Medicare tax, the amounts for the payroll manager are:

  • Social security -  $145.70
  • Medicare - $216.78

<h3>What are the Social security and Medicare taxes?</h3>

The Social Security tax is charged on up to $128,400 and the Payroll manager had a salary of $141,000 so far but only $14,950 this month so the social security tax will be calculated:

= 6.2% x (128,400 - (141,000 - 14,950))

= $145.70

The Medicare tax has no limit:

= 14,950 x 1.45%

= $145.70

Monthly Social security:

= 7,960.80 / 12

= $216.78

Find out more on Medicare tax at brainly.com/question/23706698

#SPJ1

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Answer:

(a) E(X) = 950

(b) $ COV = 0.007255$

(c) P(X > 980) = 0.00001\\\\

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(b) what is the COV of the number of non-defective units?

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(c) What is the probability of having more than 980 non-defective units?

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P(X > 980) = 1 - P(X < 980)\\\\P(X > 980) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\

We need to consider the continuity correction factor whenever we use continuous probability distribution (Normal distribution) to approximate discrete probability distribution (Binomial distribution).

P(X > 980)  = 1 - P(Z < \frac{979.5 - 950}{6.892} )\\\\P(X > 980)  = 1 - P(Z < \frac{29.5}{6.892} )\\\\P(X > 980)  = 1 - P(Z < 4.28)\\\\

The z-score corresponding to 4.28 is 0.99999

P(X > 980) = 1 - 0.99999\\\\P(X > 980) = 0.00001\\\\

So it means that it is very unlikely that there will be more than 980 non-defective units.

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