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2 years ago

How am I supposed to do question 4???

Mathematics

1 answer:

salantis [7]2 years ago

3 0

Answer:

PQ= XY

QR=YZ

RP=ZX

/_P= /_X

/_Q= /_Y

/_R= /_Z

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In answering on a multiple choice test, a student either know the answer or guesses. Let p be the probability that the students

LenaWriter [7]

Answer:

$P(A_{1}|B ) =\frac{mp}{1+p(m-1)}$

Step-by-step explanation:

For mutually exclusive events as A1, A2, A3, etc, Bayes' theorem states:

$P(A|B)= \frac{P(B|A)P(A)}{P(B)}$

P(A|B) is a conditional probability: the likelihood of event A occurring given that B is true.

P(B|A) is a conditional probability: the likelihood of event B occurring given that A is true.

P(A) is the probability that A occurs

P(B) is the probability that B occurs

For this problem:

A1 is the probability that the student knows the answer

A2 is the probability that the student guesses the answer

B is the probability that the student answer correctly

$P(A_{1})=p \\P(A_{2})=1-p \\P(B|A_{1})=1 \\P(B|A_{2})=\frac{1}{m} \\P(B)= P(A_{1})P(B|A_{1}) + P(A_{2})P(B|A_{2})= p+\frac{1-p}{m} \\$

P(B|A₁) means the probability that the answer is correct when he knew the answer

P(B|A₂) means the probability that the answer is correct when he guessed the answer

P(A₁|B) means the probability that he knew the answer when the answer was correct

Replacing everything in the Bayes' theorem you get:

$P(A_{1}|B)= \frac{P(B|A_{1})P(A_{1})}{P(B)}=\frac{(1)(p)}{p+\frac{1-p}{m}} =\frac{mp}{mp+1-p} =\frac{mp}{1+p(m-1)}$

5 0

3 years ago

What is the algebraic expression for "the difference between seven times a number and three times that number"? 7 - 3 x 7 x - 3

DedPeter [7]

7x-3x is prob the answer

8 0

4 years ago

Read 2 more answers

In ΔABC shown below, segment DE is parallel to segment AC: Triangles ABC and DBE where DE is parallel to AC The following two-co

storchak [24]

Answer:

3. BDE is congruent to BAC; corresponding angles postulate

4. B is congruent to B; reflexive property of equality

Step-by-step explanation:

I took the test.

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3 years ago

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What is the value of h in the diagram below?

katovenus [111]

Answer:

from what I know I think the answer is D_24

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3 years ago

What percent of 78 is 16?

Phantasy [73]

Answer:

78/16=

39/8=

19.5/4= 4.80805

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3 years ago