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Nonamiya [84]
3 years ago
15

The total cost to pay for parking at a state park for the day and rent a paddleboat are: 1 hour for $17, 2 Hours for $29, 3 hour

s for $41, and 4 hours for $53. Find the cost to park for a day and the hourly rate to rent a paddleboat.
Mathematics
1 answer:
kolezko [41]3 years ago
7 0
$412.8 for 24 hours
Hope this help
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Answer:

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Answer:

P(X = 0) = 0.027

P(X = 1) = 0.189

P(X = 2) = 0.441

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Step-by-step explanation:

The probability mass function P(X = x) is the probability that X happens x times.

When n trials happen, for each x \leq n, the probability mass function is given by:

P(X = x) = pe_{n,x}.p^{x}.(1-p)^{n-x}

In which p is the probability that the event happens.

pe_{n,x}, is the permutation of n elements with x repetitions(when there are multiple events happening(like one passes and two not passing)). It can be calculated by the following formula:

pe_{n,x} = \frac{n!}{x!}

The sum of all P(X=x) must be 1.

In this problem

We have 3 trials, so n = 3

The probability that a wafer pass a test is 0.7, so p = 0.7

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P(X = 0) = (0.7)^{0}.(0.3)^{3} = 0.027

P(X = 1) = pe_{3,1}.(0.7).(0.3)^{2} = 0.189

P(X = 2) = pe_{3,2}.(0.7)^{2}.(0.3) = 0.441

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3 years ago
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