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yKpoI14uk [10]
2 years ago
10

9. A computer chip manufacturer knows that 72% of the chips produced are defective.

Mathematics
1 answer:
adoni [48]2 years ago
5 0

The probability that exactly 800 chips are acceptable is less than 0.000001

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

The given parameters are:

  • Sample, n = 3000
  • Percentage acceptable, p = 72%
  • Acceptable chips, x = 800

The binomial probability is represented as:

P(x) = ^nC_x * p^x * (1- p)^{n - x}

So, we have:

P(300) = ^{3000}C_{800} * (72\%)^{800} * (1- 72\%)^{3000 - 800}

The data values are large.

So, we use a statistical calculator to evaluate the expression

Using the calculator, we have:

P(300) < 0.000001

Hence, the probability that exactly 800 chips are acceptable is very small i.e. less than 0.000001

Read more about probability at:

brainly.com/question/25870256

#SPJ1

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You order fourteen burritos to go from a Mexican restaurant, six with hot peppers and eight without. However, the restaurant for
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Answer:

0.578

Step-by-step explanation:

If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.)

Given that there are 14 orders at the ratio by of:

6 with hot peppers

8 without hot peppers

At most two have hot peppers.

Binomial Problem with n = 3 ; p(hot) = 6/8

P(0<= x <=2) = 1 - P(x = 3)

= 1 - (6/8)^3

= 1 - ( 3/4 )^3

= 1 - ( 27/64 )^3

= 1- (37/64)

= 1 - 0.421875

= 0.578125

= 0.578

6 0
3 years ago
An investment account grows at 5% each year. There are 365 days in a year. What is the approximate daily growth rate of the acco
lina2011 [118]

Answer:

i went off of 10000 as the money or somewher in that range

Step-by-step exp lanation:

The final balance is $2,653.3.

The total compound interest is $1,653.3.

i hope this helps

4 0
3 years ago
Solve the inequality. Graph the solution set on a number line. <br> P+5&gt;-3 and p+1&lt;4
fomenos

Answer: -8< P <3

Step-by-step explanation:

3 0
3 years ago
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Simplify by combining like terms:<br><br> 8 + 10a – 3 + 5a
kirill [66]

Answer:

5+15a

Step-by-step explanation:

add like terms

8-3=5

10a+5a=15a

3 0
3 years ago
In a particular region, 6% of the population is thought to have a certain disease. A standard diagnostic test has been found to
pochemuha

Answer:

The positive predictive value ≈ 30.012%

Step-by-step explanation:

(a) The given percentage of the people in the region that have the disease, P(D) = 6% = 0.06

The percentage people correctly identified as having the disease by the standard diagnostic test = 91%

The percentage of people incorrectly identified as having the disease by the standard diagnostic test, P(T + |H) = 8%

Therefore, the sensitivity of the test, P(T + |D) = 0.91

The specificity of the test, P(T - |H) = 1 - 0.08 = 0.92

Therefore, the probability that a person is healthy, P(H) = 1 - 0.06 = 0.94

Therefore, in a population of 1,000 people, 60 people have the disease, with a sensitivity of 91%, the test will correctly pic 0.91×66 = 60.06 people correctly with the disease and 0.91 × 940 = 855.4 people without the disease

The number of non-diseased that test positive by the test is 0.08 × 1000 = 80 people which are false positives

Therefore, the number of diseased diagnosed as negative is 0.08 × 60 = 4.8

Therefore, we have;

\begin{array}{cccc}&Deseased&Non-diseased& Diseased + Non-diseased\\Test  \ +ve&60.06&80& 140.06\\Test \ -ve&4.8&855.4&\end{array}

The positive predictive value = Diseased +ve/(Diseased +ve + Non-diseased  +ve)

The \ positive \  predictive  \ value = \dfrac{Diseased +ve}{Diseased +ve + Non-diseased  +ve} \times 100

Therefore;

The positive predictive value = 60.06/(60.06 + 140.06) × 100 ≈ 30.012%

7 0
3 years ago
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