5/12-3/8 In Simplest form can someone please break it down so I can understand how to get the answer..

1 answer:

jeka943 years ago

4 0

To find 5/12-3/8, you have to find a common denominator. A common denominator of 12 and 8 could be 24. So, you multiply 5/12, both the numerator and the denominator by 2, which gives you 10/24. Then, you multiply 3/8 both by 3 to get the common denominator of 24. 3/8x 3 is 9/24. So, 10/24-9/24 is 1/24 because you only subtract the numerator and keep the denominator the same.

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<h2>Answer with explanation:</h2>

Given : The probability that telephone bills mailed to house-holds in Hong Kong are incorrect.=0.01

<h2>Binomial distribution :-</h2>

$P(x)=^nC_xp^x(1-p)^{n-x}$

If a sample of 10 bills is selected, then the probability that at least one bill will be incorrect :-

$P(x\geq1)=1-P(0)\\\\=1-^{10}C_{0}(0.1)^0(0.9)^{10}\\\\=1-(0.9)^{10}=0.6513$

Hence, the probability that at least one bill will be incorrect =0.6513

<h2>Poisson distribution: </h2>

$P(x;\mu)=\dfrac{e^{-\mu}\mu^x}{x!}$

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Then , If a sample of 10 bills is selected, then the probability that at least one bill will be incorrect :-

$P(x\geq1)=1-P(0)\\\\=1-\dfrac{e^{-1}1^0}{0!}\\\\=1-0.3678=0.6321$

Hence, the probability that at least one bill will be incorrect =0.6321

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