Grade | Scale | Probability | Expected Value | Variance |
A | 4 | 0.1 | 0.4 | |
B | 3 | 0.2 | 0.6 | |
C | 2 | 0.4 | 0.8 | |
D | 1 | 0.2 | 0.2 | |
F | 0 | 0.1 | 0 | |
2 | EXPECTED GRADE | |||
COURSE VARIANCE |
Grade Scale Probability Expected Value Variance A 4 0.1 0.4 B 3 0.2 0.6 C 2...
1.0 0.8 0.6 0.4 0.2 0 -0.2 -0.1 0.0 0.1 0.2 Distance The graph pictures shows six different curves labeled A F. Each curve shows the relationship between the p-value (y-axis) and the distance p-π (x-axis) for testing the null hypothesis π 0.5 Match each curve A-F with one of the descriptions.
Xew) 0.8 F 0.6 Consider -0.2 -1 -0.8 -0.6 -0.4 -0. 2 0 0.2 0.4 0.6 0.8 w (x21) the following plot of X(ew. Calibrate the frequency axis to the true (analog) frequency N = Fow if the sampling rate used was F, = 500Hz.
Consider the following probability distribution: x P(x) 1 0.1 2 ? 3 0.2 4 0.3 What must be the value of P(2) if the distribution is valid? A. 0.6 B. 0.5 C. 0.4 D. 0.2 What is the mean of the probability distribution? A. 2.5 B. 2.7 C. 2.0 D. 2.9
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,...
0.7 0.2 0.1 0.2 0.6 0.2 0.1 0.4 0.5 Check the time reversibility π,B- π, P, 0.7 0.2 0.1 0.2 0.6 0.2 0.1 0.4 0.5 Check the time reversibility π,B- π, P,
6. The distribution law of random variable X is given -0.4 -0.2 0 0.1 0.4 0.3 0.2 0.6 Xi Pi Find the variance of random variable X. 7. Let X be a continuous random variable whose probability density function is: f(x)=Ice + ax, ifXE (0,1) if x ¢ (0:1) 0, Find 1) the coefficient a; 2) P(O.5 X<0.7); 3) P(X>3). Part 3. Statistics A sample of measurements is given Y 8 4 2 2 0 8. Compute the coefficient of...
Home assignment 4 Consider following information Probability of the state of economy Rate of return if state occurs StockA StockB boom normal a. b. c. 0.2 0.8 0.4 0.2 0.05 Calculate the expected return of Calculate the variance and standard deviation of each stock. Calculate the covariance between stock A and B returns and the correlation coefficient. Calculate the expected return of the portfolio (Portfolio!) consisting 40% of stock A and 60% of stock B. Calculate the variance and standard...
x -1 3 5 8 9 p(x) 0.2 0.1 0.4 0.2 0.1 1 list the values that x may assume (use ascending order)? 2 what value of x is most probable? 3 what is the probability that x is greater than 0? 4. what is the probability that x=1?
1. An investment will produce a profit of $1220 with probability 0.2, $980 with probability 0.6, and $320, with probability 0.2. What is the expected profit? (a.)$896 (b.)$1003 (c.)$974 (d.)$924 2. Project 1 generates revenue of $500 with probability 0.72 and $345 with probability 0.28. Project 2generates revenue $990 with probability 0.5 and revenue $155 with probability 0.5. If Mr. W wants to maximize his expected revenue, he should (a.)choose Project 1 (b.)choose Project 2 (c.)choose either project because of...
Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution. ABCxP(x)xP(x)xP(x)25 0.6 25 0.6 25 0.6 50 0.1 50 0.1 50 0.1 75 0.1 75 0.1 75 0.1 100 0.4 100 0.2 100 0.6 a. Which of the above tables is a probability distribution? (Click to select) B A C b. Using the correct probability distribution, find the probability that x is: (Round the final answers to 1 decimal place.) 1. Exactly 50 = 2. No more than 50 = 3. More than 25 = c. Compute the mean, variance, and standard deviation of this distribution. (Round the final answers to 2 decimal places.) 1. Mean µ 2. Variance σ2 3. Standard deviation σ