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2 years ago

Alfonso has 435 stamps in his collection. He wants to collect at least

Mathematics

1 answer:

kherson [118]2 years ago

8 0

Answer:

Inequality: $435 + d \geq 815$

Solution: $d \geq 380$

Step-by-step explanation:

He has 435 stamps in his collections.

He will collect d stamps, and he wants to collect at least 815 stamps, that is, the sum of 435 and d has to be at least 815.

So the inequality is given by:

$435 + d \geq 815$

And the answer is given by:

$d \geq 815 - 435$

$d \geq 380$

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2 years ago

A statistics textbook chapter contains 60 exercises, 6 of which are essay questions. A student is assigned 10 problems. (a) What

Scilla [17]

Answer:

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b) P=0.4232

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d) The shape of the hypergeometric, in this case, is like a binomial with mean np=1.

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The appropiate distribution to model this is the hypergeometric distribution:

$P(X=x)=\frac{\binom{s}{x}\binom{N-s}{M-x}}{\binom{N}{M}}=\frac{\binom{6}{x}\binom{54}{10-x}}{\binom{60}{10}}$

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$P(X=0)=\frac{\binom{6}{0}\binom{54}{10-0}}{\binom{60}{10}}\\\\P(X=0)=\frac{1*(54!/(10!*44!)}{60!/(10!*50!)} =\frac{2.3931*10^{10}}{7.5394*10^{10}} = 0.3174$

b) What is the probability that at least one is essay?

$P(X=1)=\frac{\binom{6}{1}\binom{54}{9}}{\binom{60}{10}}\\\\P(X=1)=\frac{6*(54!/(9!*43!)}{60!/(10!*50!)} =\frac{3.1908*10^{10}}{7.5394*10^{10}} =0.4232$

c) What is the probability that two or more are essay?

$P(X\geq2)=1-(P(0)+P(1))=1-(0.3174+0.4232)=1-0.7406=0.2594$

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2 years ago

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viva [34]

Answer:

Reflection

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2 years ago

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valentina_108 [34]

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