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
Given g(x) = x² - 6x - 16, which statement is true?
inn [45]

The correct choice of this question with the given polynomial is <em>"The zeros are </em>-2<em> and </em>8<em>, because the factors of g are (x + </em>2<em>) and (x - </em>8<em>)"</em>. (Correct choice: H)

<h3>How to analyze a second orden polynomial with constant coefficients</h3>

In this case we have a second order polynomial of the form <em>x² - (r₁ + r₂) · x + r₁ · r₂</em>, whose solution is <em>(x - r₁) · (x - r₂)</em> and where <em>r₁</em> and <em>r₂</em> are the roots of the polynomial, which can be real or complex numbers but never both according the fundamental theorem of algebra.

If we know that <em>g(x) =</em> <em>x² -</em> 6 <em>· x -</em> 16, then the <em>factored</em> form of the expression is <em>g(x) = (x - </em>8<em>) · (x + </em>2<em>)</em>. Hence, the correct choice of this question with the given polynomial is <em>"The zeros are </em>-2<em> and </em>8<em>, because the factors of g are (x + </em>2<em>) and (x - </em>8<em>)"</em>. \blacksquare

To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910

4 0
2 years ago
Naomi has 50 red beads and white beads. The number of red beads is 1 more than 6 times the number of white beads. How many red b
BaLLatris [955]
She has 43 red beads :)
7 0
3 years ago
Read 2 more answers
The range of f(x) = |x| is y ≥ 0. If a &lt; 0 and b ≠ 0 for g(x) = a|x| + b, what is the range of function g?
kifflom [539]

Answer:

blue or maybe green try purple

3 0
2 years ago
The factors of the quadratic function g(x) are (5x – 1) and (x + 4). What are the solutions to the equation g(x) = 0?
Cerrena [4.2K]

Answer:

The solutions to the equation are x = \frac{1}{5} and x = -4

Step-by-step explanation:

The factors of the quadratic function g(x) are (5x – 1) and (x + 4).

This means that:

g(x) = 0

(5x - 1)(x + 4) = 0

So

5x - 1 = 0

5x = 1

x = \frac{1}{5}

And

x + 4 = 0

x = -4

The solutions to the equation are x = \frac{1}{5} and x = -4

7 0
3 years ago
BEST ANSWER GETS BRAINLIEST
Alexandra [31]

Answer:

1. The speed of the truck, S = D/T.

2. The formula that connects D and T is: S = D/T.

3. The coefficient of variation, k, is the ratio of the standard deviation to the mean speed.

Step-by-step explanation:

a) The speed of a truck at a fixed speed is given as the distance covered by the truck divided by the time it takes the truck to cover the said distance.  This implies that speed is a function of distance and time.  However, this formula represents the mean speed.  There are variations in speed.

b) If the truck covers a distance of 60 kilometers, for example, under 3 hours, we can conclude that the speed is 20 kilometers per hour (60/3) or 20 km/hr.

4 0
3 years ago
Other questions:
  • .83 times 4.52 I need work
    15·1 answer
  • The quotient of a number and 2 is the same as the difference of the number double and 3. What’s is the numer
    10·1 answer
  • Which is the slope-intercept form of the equation y - 12 =-1/3(x- 6)?
    14·1 answer
  • What is the domain of the function?
    9·1 answer
  • Which graph represents the proportional relationship given by the rule "y is 3 times the value of x"?
    14·2 answers
  • Directions: identify weather the problem has a minimum or a maximum type an “X” in the box next to your answer
    5·1 answer
  • If two lines are parallel, corresponding angles are _________.
    15·2 answers
  • Help pls again hmmmm​
    8·1 answer
  • Please solve number 11:(​
    13·1 answer
  • Solve for x. x = [?] 5x - 7/3x + 27 ..​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!