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bezimeni [28]
3 years ago
13

an urn containing n balls can be represented by the set u = {b1, b2, ... , bn}. interpret the following algorithm in the context

of urn problems. does it represent drawing with or without replacement? how many lines does it print? for i is in {1, 2, ... , n} do for j is in {1, 2, ... , n} do for k is in {1, 2, ... , n} do print bi, bj, bk
Mathematics
1 answer:
kati45 [8]3 years ago
5 0
The algorithm prints out all the possible ways to draw  3 <span>balls in sequence, </span><span> ---Select--- with </span>  <span>replacement. It prints</span>  <span>lines.</span>
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All bags entering a research facility are screened. The screening process is not perfect so that 77% of the bags that contain fo
garik1379 [7]

Answer:

(1) 0.5933

(2) 0.8955

Step-by-step explanation:

We are given that all bags entering a research facility are screened.

Let Probability that bags entering the building contains forbidden material,

 P(F) = 0.69

Probability that bags entering the building does not contains forbidden material,   P(NF) = 1 - 0.69 = 0.31

Let event A = alarm gets triggered

Probability that alarm gets trigger given the bags contain forbidden material, P(A/F) = 0.77

Probability that alarm gets trigger given the bags does not contain forbidden material, P(A/NF) = 0.20

(1) Probability that a bag triggers the alarm, P(A) ;

         P(A) = P(F) * P(A/F) + P(NF) * P(A/NF)

                 = (0.69 * 0.77) + (0.31 * 0.20) = 0.5313 + 0.062

                 = 0.5933

Therefore, probability that a bag triggers the alarm is 0.5933 .

(2) Probability that a bag that triggers the alarm will actually contain forbidden material is given by P(F/A) ;

Using Bayes' Theorem;

    P(F/A) = \frac{P(F) * P(A/F)}{P(F) * P(A/F) + P(NF) *P(A/NF)} = \frac{0.69*0.77}{0.69*0.77+0.31*0.20} = \frac{0.5313}{0.5933}

               = 0.8955

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3 years ago
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Answer:

The current intervals for the bins are too wide. Looking at the histogram, it is difficult to draw useful conclusions about the fuel efficiency of the trucks or to see the shape of the data distribution.

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Geometric mean is the square root of the product of the two numbers:

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