3 years ago

If a car factory checks 360 cars and 8 of them have defects, how many will have defects out of 1260?

Mathematics

1 answer:

viktelen [127]3 years ago

3 0

You should expect 28 defected cars.

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A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe

Mila [183]

<h3>Answer: 0.1319</h3>

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Work Shown:

$P(x) = (_n C_x)*(p)^x*(1-p)^{n-x}\\\\P(14) = (_{15} C_{14})*(0.8)^{14}*(1-0.8)^{15-14}\\\\P(14) = 15*(0.8)^{14}*(0.2)^{1}\\\\P(14) \approx 0.13194139533312 \\\\P(14) \approx \boldsymbol{0.1319} \\\\$

Side note: you can use the nCr formula to compute $_{15} C_{14}$ ; however, it's much quicker to use the shortcut formula $_{n} C_{n-1} = n$ . You can also use Pascal's Triangle to find the value of $_{15} C_{14}$