X | P(x) | XP(X) | ![]() |
![]() |
0 | 0.2 | 0 | 4 | 0.8 |
1 | 0.1 | 0.1 | 1 | 0.1 |
2 | 0.4 | 0.8 | 0 | 0 |
3 | 0.1 | 0.3 | 1 | 0.1 |
4 | 0.2 | 0.8 | 4 | 0.8 |
Mean | 2 | Variance | 1.8 |
19) Sum of probability= 1
P(0)+P(1)+P(2)+P(3)+P(4)=1
0.2+0.1+P(2)+0.1+0.2=1 =>P(2)= 0.4
20)
21)
Use the following information for the next three (3) questions: In the table below, X represents...
The table below represents a probability distribution. What is the probability that x = 2? 2 3 X P(x) 1 0.5 ? 0.2 0.2 There is not enough information to answer the question. O 0.5 0.3 Previous Page Next Page Page 3 of 34
ketch the graph of the probability density function over the indicated interval. 2x 9 [0, 3] y y 0.7 0.7 0.6 0.6 0.51 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 2 3 y у 0.7 0.7 0.6 0.6 0.5 0.54 0.4 0.41 0.3 0.3 0.2 0.2 y 0.71 0.7 0.6 0.6 0.5 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 2 Find the indicated probabilities. (a) PO < x < 2) (b) P(1 < x < 2)...
Pasquill-Gifford represents them by ơ,-1000 x tan(T)12.15 and or-ad in Table 7.4. Cy= 1000 x tan 2.15 where x is downwind distance ínkm and T is one-half Pasquill's θ in degrees. T, as a function ofx, is determined for each stability from the following: Stability Equation for T T24.167 2.5334 Inx) T = 18.333-1.8096 ln(x) T = 12.5-1.0857 ln(x) T8.3333 0.72382 In(x) T 6.25-0.54287 In(x) T 4.1667-0.36191 Ln(x) Table 7.4a Pasquill-Gifford horizontal dispersion parameters [Turner] Stability Distance (km) at upper...
REVIEW QUESTIONS Use this information for the following 3 questions The following is the probability distribution of a random variable x the demand for Christmas trees at our store in December: X 10 20 30 40 50 60 P(X) .10 25 .30 .20 .10 .05 We can purchase the trees at a wholesale price of $15 with a retail price of $25. Unsold trees are sold as firewood at $1 1. The standard deviation of X is: b. 31 C...
3. Below is a Lineweaver-Burke plot of an enzyme reaction in the presence and absence of an inhibitor. 2.4 2.3 2.2 2.1 2 1.9 1.8 1.7 1.6 1.5 1.4 1.3 1.2 1.1 1 0.9 0.8 < 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 -0.1 -0.2 -0.3 -0.4 -0.5 -0.6 -0.7 -0.8 . . . . . -1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 O 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1/[S]...
Two fuzzy as follow sets A,B defined on the universe X={0,1,2,3,4,5,6,7,8,9} A 0.1/1, 0.2/2, 0.6/3, 1/4, 0.5/5,0.3/6, 0.2/7, 0.1/8} B 0.2/1, 0.3/2, 0.6/3,1/4, 0.7/5, 0.4/6, 0.3/7, 0.2/8, 0.1/9 Answer the following questions: (I)Sketch the membership functions of A and B sets (ii Compute and sketch C=AOB & D=AUB; (iii) Is the following relation true/false? Please clarify ACB
Two fuzzy as follow sets A,B defined on the universe X={0,1,2,3,4,5,6,7,8,9} A 0.1/1, 0.2/2, 0.6/3, 1/4, 0.5/5,0.3/6, 0.2/7, 0.1/8} B 0.2/1, 0.3/2, 0.6/3,1/4,...
Let the random variable X be a random number with the uniform density curve in the figure below. Area = 0.4 Area = 0.5 Area = 0.2 Height = 1 0.3 0.7 0.5 0.8 P(X<0.5 or X > 0.8) P(0.3<X<0.7) (a) (b) Find the following probabilities. P(X 2 0.35) (a) (b) P(X = 0.35) P(0.35 < X < 1.25) (c) P(0.10 < X < 0.20 or 0.6 < X < 0.9) (d) X is not in the interval 0.5 to...
1. Given the following information, reconstruct the pathway of
infection from one patient to the next.
2. Given the following information, would natural selection
favor the evolution of increased virulence? Show your
calculations
1. Given the following information, reconstruct the pathway of infection from one patient to the next Genome locations 1 23 4 5 6 78 Patient A Patient C Patient E Patient F Patient G Patient H 2. Given the following information, would natural selection favor the evolution...
If x is a binomial random variable, compute p(x) for each of the cases below. a. n=5, x=2, p=0.3 b. n=6, x=3, q=0.2 c. n=4, x=1, p=0.7 d. n=5, x=0, p=0.4 e. n=6, x=3, q=0.8 f. n=4, x=2, p=0.6
Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution. A B C x P(x) x P(x) x P(x) 25 0.2 25 0.2 25 0.2 50 0.4 50 0.4 50 0.4 75 0.1 75 0.1 75 0.1 100 0.3 100 0.5 100 0.7 a. Which of the above tables is a probability distribution? b. Using the correct probability distribution, find the probability that x is: (Round the final answers to...