1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anarel [89]
3 years ago
7

A crime is committed by one of two suspects, A and B. Initially, there is equal evidence against both of the suspects. After fur

ther investigation, it is determined that the guilty party has a blood type found in only 10% of the population at large. Suspect A does have this blood type; the blood type of Suspect B is unknown.
Define the following 3 events A, M and C.
A: "A is guilty" (Thus ° denotes "B is guilty')
M: "A’s blood type matches that of the guilty party"
C: "B's blood type matches that of the guilty party"
A. The police reported that suspect A is not a relative of suspect B. Is it reasonable to set P( MA)=P(C|A)=10%? Why?
B. Assume that P(MAC)=P(C|A)=10%. Given the information from the further investigation of the crime scene, what is the probability that A is the guilty party?
C. Assume that P( MA)=P(C/A)=10%. Given the information from the further investigation of the crime scene, what is the probability that B’s blood type matches that of the guilty party?
Mathematics
1 answer:
liberstina [14]3 years ago
6 0

Answer:

a) MA conditional with C can be interpreted as A which is known and C which is unknown match

b) 10/11

c) 2/11

Step-by-step explanation:

A={A is the guilty party}

M_A = {A blood type matches that of the guilty party}

C = {B is the guilty party}

M_C = {B blood type matches that of the guilty party}

a) The chance is 10% because MA conditional with C can be interpreted as A which is known and C which is unknown match

b) the probability that A is the guilty party is given by P(A/M_A). Using bayes theorem:

P(A/M_A)=\frac{P(M_A/A)P(A)}{P(M_A/A)P(A)+P(M_C/C)P(C)} =\frac{1*1/2}{(1*1/2)+(1/10*1/2)} =\frac{10}{11}

c) the probability that B’s blood type matches that of the guilty party is given as P(M_C/M_A). Using LOTS Therefore:

P(M_C/M_A)=P(M_C/M_A,A)P(A/M_A)+P(M_C/M_A,A)P(C/M_A)=\frac{1}{10}*\frac{10}{11}  +1*\frac{1}{11}  =\frac{2}{11}

You might be interested in
Ilsym!!!!! help thanks so much
kolezko [41]

Answer:

A w is less than 7

A x is greater then or equal to  -1

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the
Norma-Jean [14]

The graphs of f(x) and g(x) are transformed function from the function y = x^2

The set of inequalities do not have a solution

<h3>How to modify the graphs</h3>

From the graph, we have:

f(x) = x^2 -3 and g(x) = -x^2 +2

To derive y < x^2 - 3, we simply change the equality sign in the function f(x) to less than.

To derive y > x^2 + 2, we perform the following transformation on the function g(x)

  • Shift the function g(x) down by 2 units
  • Reflect across the x-axis
  • Shift the function g(x) down by 3 units
  • Change the equality sign in the function g(x) to greater than

<h3>How to identify the solution set</h3>

The inequalities of the graphs become

y < x^2 - 3 and y > x^2 + 2

From the graph of the above inequalities (see attachment), we can see that the curves of the inequalities do not intersect.

Hence, the set of inequalities do not have a solution

Read more about inequalities at:

brainly.com/question/25275758

7 0
2 years ago
Dave has a board that is
Naya [18.7K]

Answer:

The answer is 1 3/8 (B)

Step-by-step explanation:

3 1/4 - 1 7/8 = 1 3/8

4 0
2 years ago
It is not d it is c i just took the test
Marina CMI [18]
Ok so nevermind i won't help


6 0
2 years ago
I need help on this one please :)
madreJ [45]
Line DE is 4 squares and Line BC is 8 squares.

The length of line DE is 1/2 of line BC

3 0
2 years ago
Other questions:
  • I’ve been having trouble with PEMDAS and exponents for a while. Could someone walk me through how to do this so maybe I can appl
    11·1 answer
  • Find the volume of a sphere with a great circle that has a circumference of 42 πft
    12·1 answer
  • Pls help me on this 1 sum 1 its important
    6·2 answers
  • I will mark as brainliest
    5·2 answers
  • (5x + 10) + (2x -3) =
    8·2 answers
  • Ben can type 153 words in 3 minutes. At this rate, how many words can he type in 10 minutes.
    5·2 answers
  • What are the zeros of f(x) = x^2-13x+40
    14·1 answer
  • Hi please help me with this
    9·1 answer
  • What is the domain of the function showing in the graph below? part 1
    15·2 answers
  • Liam paid $13. 00 at a department store for 5 pairs of socks. When the number of pairs of socks is represented by p and the tota
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!