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Artyom0805 [142]
2 years ago
10

Help me w this multiple choice!

Mathematics
1 answer:
olga2289 [7]2 years ago
3 0

Answer:

D

Step-by-step explanation:

\sin(30)  =  \frac{n}{ \frac{10 \sqrt{3} }{3} }   \\ 0.5 =  \frac{n}{5.77} \\ n = 2.88 =  \frac{5 \sqrt{3} }{3}

\cos(30)  =  \frac{m}{ \frac{10 \sqrt{3} }{3} }  \\ 0.866 =  \frac{m}{5.77}  \\ m = 5

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Answer:

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Let <em>X</em> = number of defective PS4s.

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(a)

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P(X=2)={5\choose 2}(0.50)^{2}(1-0.50)^{5-2}=10\times0.25\times0.125=0.3125

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(b)

Compute the probability that exactly ​ 2 are defective given that  ​at least ​ 2 purchased PS4s are defective as follows:

P(X=2|X\geq 2)=\frac{P(X=2\cap X\geq2)}{P(X\geq2)} =\frac{P(X=2)}{P(X\geq 2)}

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The value of P (X ≥ 2) is:

P(X\geq 2)=1-P(X

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P(X=2|X\geq 2)=\frac{P(X=2)}{P(X\geq 2)}=\frac{0.3125}{0.8125} =0.3846

Thus, the probability that exactly ​ 2 are defective given that  ​at least ​ 2 purchased PS4s are defective is 0.3846.

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