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aliina [53]
3 years ago
6

This is pretty simple, but the wording gets me. Is choice B correct as well, I’m not really sure. Please help

Mathematics
1 answer:
Oliga [24]3 years ago
7 0
I’m not 100% sure but i think ur answer rn is correct don’t check the second box
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Jack likes to go fishing. While waiting for the fishes to bite, he formulates the following model for the process: fishes bite a
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Answer:

a) 0.122

b) 3.35 × 10⁻⁴

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Step-by-step explanation:

Here we have the Poisson process given by

P(N(t) = k) = \frac{e^{-\lambda t} (\lambda t)^k }{k!}

Where:

λ = Rate = 4 bites/hour and

t = Length of time that is

Mean = λt

Where k = 6 fishes bites and t = 2 hours we have

P(N(2) = 6) = \frac{e^{-4 \times 2} (4 \times 2)^6 }{6!} = 0.122

b) The probability that he fails to catch any fishes during the first two hours is the probability t that he catches 0 fish as follows

P(N(2) = 0) = \frac{e^{-4 \times 2} (4 \times 2)^0 }{0!} = 3.35 \times 10^{-4}

(c) Here we have

P(N(2) = 6) =  0.122

For 1 fish caught in two times we have first time no fish and second time he caches a fish gives

0.122×(1-0.122) = 0.1071

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