1 answer

5. In some town, 51% of the adults are males and the other 49% are females....

Question:

5. In some town, 51% of the adults are males and the other 49% are females. Someone held up the bank in town. Witnesses are certain the robber was smoking a cigar but did not see if the robber was a male or a female, we know that 9.5% of males smoke cigars and that 1.7% of females smoke cigars. Use Bayes rule to find the probability that the robber was a male.

5. In some town, 51% of the adults are males and the other 49% are females. Someone held up the bank in town. Witnesses are certain the robber was smoking a cigar but did not see if the robber was a male or a female, we know that 9.5% of males smoke cigars and that 1.7% of females smoke cigars. Use Bayes' rule to find the probability that the robber was a male.

Answers

Baves Theorem: P(A | B) P(A & B) / P(B) PROBABILITY TREE 0.49 0.51 male female 0.095 0.905 0.017 0.983 Doesnt Smoke smoke cigar cigar Smokes Doesnt smoke cigar cigar

P(male | smokes cigar) = P(male and smokes cigar)/P(smokes cigar)

= 0.51x0.095/(0.51x0.095 + 0.49x0.017)

= 0.8533

.

Similar Solved Questions

1 answer
Marks: 2.5 Due: Week 5 lab class Classes and Objects Create a PC class that contains...
Marks: 2.5 Due: Week 5 lab class Classes and Objects Create a PC class that contains the following members: A private data member to store the speed of the CPU - A private data member to store the capacity of the hard disk - A private data member to store the capacity of the RAM - A private data mem...
1 answer
What are the meaning of these medical terminologies? -aden/o- -arthro- -bilo -carcino- -cardio -cephalo- -cerebro -Cyst/o-...
What are the meaning of these medical terminologies? -aden/o- -arthro- -bilo -carcino- -cardio -cephalo- -cerebro -Cyst/o- -cyt/o- -derm/o- -dermato- -electro- -encephalo- be -entr/o- -erythr/o- -gastr/o- -gnos/o- -gynec/o- -hem/o- -hemato- -hept/o- -lapar/o- -leuk/o- -nephr/o- -onc/o- -ophthalm/...
1 answer
3. a. Assume that the interest rate on Euro denominated assets is 5% and the interest...
3. a. Assume that the interest rate on Euro denominated assets is 5% and the interest rate on comparable dollar denominated assets is 10%. The spot exchange rate is $1/1E. If you expect the exchange rate changes to $1.05/1E, where would you want to keep your money? Calculate and show! b. The current...
1 answer
Concerning the electron configuration of F, 1s^2 2s^2 2p^5, what is the configuration for the VALENCE...
concerning the electron configuration of F, 1s^2 2s^2 2p^5, what is the configuration for the VALENCE shell electrons ?...
1 answer
1. at what quantity will the marginal cost curve cross the average cost curve C=10q-12q^2+2q^3 ,...
1. at what quantity will the marginal cost curve cross the average cost curve C=10q-12q^2+2q^3 , 3. Does the following production function have diminishing marginal returns to labor in the SR? Q = 2L 1/2K1/2 yes no Cannot be determined from the information B Next Previous MacBook Air 8 # 3 $ 4. IR ...
1 answer
Two-pipe concentric concentric) for cooling the engine oil with the help of a water stream in...
Two-pipe concentric concentric) for cooling the engine oil with the help of a water stream in a large diesel engine a reverse (opposite) flow heat exchanger is used. Water at a flow rate of 0.3 kg/h from inside pipe with an inside diameter of 56 mm It flows. The inner pipe is made of stainless steel...
1 answer
For a geometric sequence, #t_7=5x+2# and #t_10=x - 23#. If the common ratio is 2, how do you find the value of t10?
For a geometric sequence, #t_7=5x+2# and #t_10=x - 23#. If the common ratio is 2, how do you find the value of t10?...
1 answer
How do you integrate #x^2sqrt(x^(4)+5)#?
How do you integrate #x^2sqrt(x^(4)+5)#?...
1 answer
HELP PLEASE! Quiz#4 Name: 1). Energy is defined as an ability of doing work a) True b) False c) Can's say 2). 1 Jule of...
HELP PLEASE! Quiz#4 Name: 1). Energy is defined as an ability of doing work a) True b) False c) Can's say 2). 1 Jule of energy corresponds to the work done a) 1 Nm b) 3 Nm c) 5 Nm 3). According to physics, does the earth do any work on moon a) No c) Can't say b) Yes 4). When we drop an obje...
1 answer
Tia has a sample of pure gold (Au). She weighed the sample and the result was...
Tia has a sample of pure gold (Au). She weighed the sample and the result was 61.1 grams. Tia wants to determine the number of atoms in the sample. Calculate the number of atoms in 61.1 g of pure gold....
1 answer
The Egg Drop problem asks us to find the fewest number of egg dropping trials we...
The Egg Drop problem asks us to find the fewest number of egg dropping trials we need to perform in the worst case in order to identify the highest floor from which we can safely drop an egg out of an n-floor building when given k eggs. Notably, if E(n, k) represents the solution to the Egg Drop pro...
1 answer
Problem 10.10-1 72 kS2 The input to this circuit is the voltage source voltage given by...
Problem 10.10-1 72 kS2 The input to this circuit is the voltage source voltage given by v(t) 2.65cos 310t-15° v 0.5HF The output is the voltage Vo(t)-Acos(310 t + ?) v vi0) ou) where A and ? are constants such that A > 0 and-180° < ? < 180°. Determine the values of the constants...
1 answer
If a production function is represented as q=Lakb, the long-run average cost curve will slope downward...
If a production function is represented as q=Lakb, the long-run average cost curve will slope downward as long as A. a+b=1. B. a + b > 1. C. a + b < 1. D.a + b >0....
1 answer
In the short run, average total cost is less than average variable cost. sometimes higher and...
In the short run, average total cost is less than average variable cost. sometimes higher and sometimes lower than average variable cost. higher than average variable cost. equal to average variable cost. QUESTION 4 1 pc If, in the short run, the level of output is zero, which of the following state...
1 answer
Give the geometry and bond angles around selenium in SeO2. bent, approximately 120 degrees O bent,...
Give the geometry and bond angles around selenium in SeO2. bent, approximately 120 degrees O bent, approximately 109.5 degrees linear, 180 degrees O trigonal planar, approximately 120 degrees...
1 answer
Let A be a non-empty subset of R that is bounded above. (a) Let U =...
Let A be a non-empty subset of R that is bounded above. (a) Let U = {x ∈ R : x is an upper bound for A}, the set of all upper bounds for A. Prove that there exists a u ∈ R such that U = [u, ∞). (b) Prove that for all ε > 0 there exists an x ∈ A such that u − &ep...
1 answer
Question 16 O pts Calculate the concentration of a solution in ppm of a solution that...
Question 16 O pts Calculate the concentration of a solution in ppm of a solution that has a mass fraction of 0.025. Report your answer to two significant figures....
1 answer
If M is the midpoint of AB, find the coordinates of A, given M(1, 2) and B(3, 7). what is the answer to this question? Can someone please help me?
If M is the midpoint of AB, find the coordinates of A, given M(1, 2) and B(3, 7). what is the answer to this question? Can someone please help me?...