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nata0808 [166]
3 years ago
13

Bob is doing a quality test on machine bolts. He tested 24 bolts that he randomly picked and found that 5 were defective Based o

n Bob's results, what is the expected number of bolts that will be defective if he tests 840 bolts?​
Mathematics
1 answer:
MissTica3 years ago
4 0

Answer:

Mean of the binomial distribution

μ = 174.972 bolts

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that Bob tested 24 bolts that he randomly picked and found that 5 were defective

The proportion of the defective item

            p = \frac{x}{n} = \frac{5}{24} = 0.2083

<u><em>Step(ii):-</em></u>

Let 'x' be a random variable in a binomial distribution

Mean of the binomial distribution

                   μ = np

                  μ = 840 ×0.280

                 μ = 174.972

<u><em>Final answer</em></u>:-

Mean of the binomial distribution  μ = 174.972 bolts

                 

 

             

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3 years ago
Gerold invested $118 in an account that pays 6 percent simple interest. how much money will he have at the end of 5 years
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If you would like to know how much money will Gerold have at the end of 5 years, you can calculate this using the following steps:

1 year: $118 + 6% * $118 = 118 + 6/100 * 118 = 118 + 7.08 = $125.08
2 year: $125.08 + 6% * $125.08 = 125.08 + 6/100 * 125.08 = 125.08 + 7.50 = $132.58
3 year: $132.58 + 6% * $132.58 = 132.58 + 6/100 * 132.58 = 132.58 + 7.95 = $140.53
4 year: $140.53 + 6% * $140.53 = 140.53 + 6/100 * 140.53 = 140.53 + 8.43 = $148.96
5 year: $148.96 + 6% * $148.96 = 148.96 + 6/100 * 148.96 = 148.96 + 8.94 = $157.9

The correct result would be $157.9.
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1: check the Variables exponent degree of the function if the exponent is zero or 1 of the function that's the function is linear.

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