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3 years ago

What is 16tons what pounds

Mathematics

2 answers:

Marianna [84]3 years ago

5 0

16 tons is equal to 32,000 pounds

mamaluj [8]3 years ago

5 0

32,000 is your answer

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3 years ago

find the probability exactly 3 successes in 6 trials of a binomial experiment in which the probability of success if 50%. round

Dennis_Churaev [7]

Answer:

Hence, the probability of exactly 3 successes in 6 trials of a binomial experiment round to the nearest tenth of a percent is:

31.2%

Step-by-step explanation:

The probability of getting exactly k successes in n trials is given by the probability mass function:

$P(k;n,p)=P(X=k)={\binom {n}{k}}p^{k}(1-p)^{n-k}$

Where p denotes the probability of success.

We are given that the probability of success if 50%.

i.e. $p=\dfrac{1}{2}$

also form the question we have:

k=3 and n=6.

Hence the probability of exactly 3 successes in 6 trials is:

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{3}(1-\dfrac{1}{2})^{6-3}$

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{3}(\dfrac{1}{2})^{3}$

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{6$

$\binom {6}{3}=20$

Hence,

$P(3;6,\dfrac{1}{2})=P(X=3)=20\times (\dfrac{1}{2})^6=\dfrac{5}{16$

In percentage the probability will be:

$\dfrac{5}{16}\times 100=31.25\%=31.2\%$

8 0

3 years ago