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snow_lady [41]
3 years ago
12

The ABCD Electronics Company has just manufactured 7000 write-rewrite CDs, and 160 are defective. If 5 of these CDs are randomly

selected for testing, what is the probability that the entire batch will be accepted?
Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.
prob.
Mathematics
1 answer:
Kamila [148]3 years ago
4 0
First, we must find what percent of 7,000 is 160.

To do this, let's do 160/7,000

160/7000 simplified is 4/75.

So, 4 out of every 75 CDs will be defective. If we want to find the probability of them all being affective, we must first do 71/75, because we subtracted the amount of defective CDs from the numerator.

Next week must multiply 71/75*71/75*71/75*71/75*71/75 to get the probability of 5 randomly selected ones being affective.

I got 1804229351/2373046875

If you divide this, you get 0.76030076354, so there is about a 76 percent chance of having all 5 randomly pulled be affective.

.Hope this helped! Comment if you have any questions!!!
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Lunch break: In a recent survey of 655 working Americans ages 25-34, the average weekly amount spent on lunch was $43.5
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Using the Empirical Rule, it is found that:

  • a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
  • b) Approximately 95% of the amounts are between $38.03 and $49.11.
  • c) Approximately 68% of the amounts fall between $40.73 and $46.27.

------------

The Empirical Rule states that, in a <em>bell-shaped </em>distribution:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

-----------

Item a:

43.5 - 3(2.77) = 35.26

43.5 + 3(2.77) = 51.88

Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.

-----------

Item b:

43.5 - 2(2.77) = 38.03

43.5 + 2(2.77) = 49.11

Within 2<em> standard deviations of the mean</em>, thus, approximately 95%.

-----------

Item c:

  • 68% is within 1 standard deviation of the mean, so:

43.5 - 2.77 = 40.73

43.5 + 2.77 = 46.27

Approximately 68% of the amounts fall between $40.73 and $46.27.

A similar problem is given at brainly.com/question/15967965

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