19. Given the probabilities shown below, what is P(A|A)?
P(A) = 0.93
P(B) = 0.23
P(A .upside down U. B) = 0.18
a. |
Impossible to determine |
|
b. |
0.194 |
|
c. |
0.783 |
|
d. |
1.000 |
|
e. |
0.930 |
19. Given the probabilities shown below, what is P(A|A)? P(A) = 0.93 P(B) = 0.23 P(A...
Find P(A or B or C) for the given probabilities. P(A) = 0.35, P(B) = 0.23, P(C) = 0.18 P(A and B) = 0.13, P(A and C) = 0.03, P(B and C) = 0.07 P(A and Band C) = 0.01 P(A or B or C) =
If P(A)= 0.3 , P (B)= 0.2, and P(A and B)= 0.1 , determine the following probabilities: (a) P( A' ) (b) P (A U B) (c) P(A' INTERSECT B) (d) P [ (A U B)' ] (e) P (A' U B)'
2.) In the Venn diagram shown is given the probabilities for An Bº, An B, and An BC Construct a completed contingency table for these events and determine the following: А B a.) Table: 33% 17% @ 15% b.) P(AUB) = c.) P(AB) = d.) Are the events A and B mutually exclusive? Explain your answer. e.) Are the events A and B independent? Explain your answer.
Use a Venn Diagram. Let P(Z) = 0.43, P(Y) = 0.23, and P(ZU Y)= 0.54. Find each probability. (a) P(Z' n Y') (b) P(Z' UY') (c) P(Z'UY) (d) P(Z n Y') Complete the Venn diagram below using the given probabilities. S z Y
(Extra Credit) Suppose P(A) = 0.32, P(B) = 0.5, P(AN B) = 0.23. What is P(AU BC)? O Select one: O a. 0.82 O b. 0.73 O c.0.59 O d. 0.77 O e. 0.5
4 [20 Points] Derive the Huffman tree for the symbols with probabilities given below. Show the codewords for the symbols and compute the average code length. A: 0.18, B: 0.2, C: 0.05, D: 0.36, E: 0.09, F: 0.12
4. Consider the given seven symbols with probabilities as {A, B, C, D, E, F, G} = {0.25, 0.20, 0.18, 0.15, 0.12, 0.06, 0.04}. Use Huffman coding to determine coding bits, entropy and average bits per symbol.
Given the charts below, determine the following probabilities and provide an interpretation for the following: P(N U A | Y) P(M U S | N U D) joint probability distribution; A N D Y 0.22874 0.109 0.029326 0.3666 M 0.08211 0.185 0.052786 0.3196 S 0.05279 0.079 0.181818 0.3138 0.36364 0.372 0.26393 1 Conditional Probability A N D Y 0.624 0.296 0.08 1 M 0.25688 0.578 0.165138 1 S 0.16822 0.252 0.579439 1 A N D Y 0.62903 0.291 0.111111 M...
4. IfP(A) 0.3, P(B) 0.2, and P(An B) 0., determine the following probabilities: (b) P(AU B) (c) P(A'n B) (d) P(An B') (e) P[(A U B)] (f) P(A'U B) 5. The following table summarizes the analysis of samples of galvanized steel for coating weight and surface roughness: Coating Weight High High Low Low 16 34 Surface 12 Roughness If the coating weight of a sample is high, what is the probability that the surface roughness is high? If the surface...
Consider the given probabilities: P(A) = 0.75, P(B) = 0.67, and P(A|B) = 0.67. A) What is P(A ∩ B)? Please use 4 decimal places. Show Your Work. B) Are A and B independent? Please explain your answer.