3 years ago

Slide 4

Mathematics

1 answer:

goldenfox [79]3 years ago

4 0

Answer:

87.5$ since 25% is 1/4 87.5 is 1/4

Step-by-step explanation:

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(a) 0.675

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Step-by-step explanation:

$P(R) = 90\% = 0.9$ (Probability of functional red)

$P(\sim R) = 90\% = 1 - 0.9 = 0.1$ (Probability of non-functional red)

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(a) The probability the board is functional is the probability that the red and the green resistors are functional.

$P(\text{board is functional}) = P(R\cap G) = P(R) \times P(G) = 0.9\times0.75 = 0.675$

(b) The probability that exactly one of the resistors chosen is functional is the probability that either red is functional and green is not or green is functional and red is not.

$P(\text{exactly one is functional}) = P((R\cap \sim G) \cup (G\cap \sim R))$

$P(\text{exactly one is functional}) = P(R\cap \sim G) + P(G\cap \sim R) = (P(R) \times P(\sim G)) + (P(G) \times P(\sim R))$

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