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3 years ago

What is a value of this

Mathematics

1 answer:

Sever21 [200]3 years ago

8 0

Answer:

The answer is infinity

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Alice searches for her term paper in her filing cabinet, which has several drawers. She knows thatshe left her term paper in dra

katen-ka-za [31]

You made a mistake with the probability $p_{j}$ , which should be $p_{i}$ in the last expression, so to be clear I will state the expression again.

So we want to solve the following:

Conditioned on this event, show that the probability that her paper is in drawer $j$ , is given by:

(1) $\frac{p_{j} }{1-d_{i}p_{i} } , if j \neq i,$ and

(2) $\frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i} } , if j = i.$

so we can say:

$A$ is the event that you search drawer $i$ and find nothing,

$B$ is the event that you search drawer $i$ and find the paper,

$C_{k}$ is the event that the paper is in drawer $k, k = 1, ..., n.$

this gives us:

$P(B) = P(B \cap C_{i} ) = P(C_{i})P(B | C_{i} ) = d_{i} p_{i}$

$P(A) = 1 - P(B) = 1 - d_{i} p_{i}$

Solution to Part (1):

if $j \neq i$ , then $P(A \cap C_{j} ) = P(C_{j} )$ ,

this means that

$P(C_{j} |A) = \frac{P(A \cap C_{j})}{P(A)} = \frac{P(C_{j} )}{P(A)} = \frac{p_{j} }{1-d_{i}p_{i} }$

as needed so part one is solved.

Solution to Part(2):

so we have now that if $j$ = $i$ , we get that:

$P(C_{j}|A ) = \frac{P(A \cap C_{j})}{P(A)}$

remember that:

$P(A|C_{j} ) = \frac{P(A \cap C_{j})}{P(C_{j})}$

this implies that:

$P(A \cap C_{j}) = P(C_{j}) \cdot P(A|C_{j}) = p_{i} (1-d_{i} )$

so we just need to combine the above relations to get:

$P(C_{j}|A) = \frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i} }$

as needed so part two is solved.

8 0

4 years ago

Boarding Kennel Problem In a boarding kennel, dogs number 12 more than 2 times the number of cats. If there are 75 animals, how

yKpoI14uk [10]

Answer: C.

Step-by-step explanation: It asks how many cats are boarded.

5 0

3 years ago

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PLSSSS HELP ASSAP 50 POINTS FPR FIRST PERSON TO ANSWER

Dafna1 [17]

Answer:

a. 2/3 or 0.6666...

b. AB = 6cm and AD = 3cm

Step-by-step explanation:

28/42 = 2/3

14/21 = 2/3

42*1/7 = 6

21*1/7 = 3

6 0

3 years ago

If (x-10) is a factor of the polynomial P(x), which of the following do we know to be true?

Anon25 [30]

Answer:

Option 3, p(0) = -10

Option 4, p(10) = 0

Step-by-step explanation:

Step 1: Check

x - 10 + 10 = 0 + 10

x = 10

f(0) = 0 - 10 = -10

x = -10

p(10) = 0

Answer: Option 3, p(0) = -10, Option 4, p(10) = 0

4 0

3 years ago

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Sam raked 8 bags of leaves in 16 minutes. If he continues to work at the same rate, how long will it take him to rake five bags?

Vlad1618 [11]

Answer:

10 minutes

Step-by-step explanation:

You do 16 divide 8 which gives you 2. It takes 2 minutes for 1 bag. You then multiple 2 times 5 which gives you 10.

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3 years ago

What is a value of this​

What is a value of this