Consider the probability distribution shown below:
X | 10 | 12 | 18 | 20 | |
---|---|---|---|---|---|
p(x) | 0.2 |
|
0.1 | 0.4 |
Find the standard deviation of X.
Consider the probability distribution shown below: X 10 12 18 20 p(x) 0.2 0.3 0.1 0.4...
Consider the following discrete probability distribution: X -0.99 0.48 0.71 1.4 P(X) 0.1 0.4 0.3 0.2 a) What is E[X]? Round your answer to at least 3 decimal places. b) What is Var[X]? Round your answer to at least 3 decimal places.
2) Consider a random variable with the following probability distribution: P(X = 0) = 0.1, P(X=1) =0.2, P(X=2) = 0.3, P(X=3) = 0.3, and P(X=4)= 0.1. A. Generate 400 values of this random variable with the given probability distribution using simulation. B. Compare the distribution of simulated values to the given probability distribution. Is the simulated distribution indicative of the given probability distribution? Explain why or why not. C. Compute the mean and standard deviation of the distribution of simulated...
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
2. Consider a random variable with the following probability distribution: P(X=0) = 0.1, P(X=1) = 0.2, P(X=2) = 0.4, and P(X=3) = 0.3 a. Find P(X<=1) b. Find P(1<X<=3)
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...
x 7 8 9 10 11 P(X = x) 0.3 0.1 0.2 0.1 0.3 Step 3 of 5: Find the standard deviation. Round your answer to one decimal place.
2) Consider a random variable with the following probability distribution: P(X-0)-0., Px-1)-0.2, PX-2)-0.3, PX-3) -0.3, and PX-4)-0.1 A. Generate 400 values of this random variable with the given probability distribution using simulation. B. Compare the distribution of simulated values to the given probability distribution. Is the simulated distribution indicative of the given probability distribution? Explain why or why not. C. Compute the mean and standard deviation of the distribution of simulated values. How do these summary measures compare to the...
II. Consider a continuous time signal x(t), containing two windowed sinusoids 0.1 0.2 0.3 0.4 0.5 0.6 The Fourier transform of the signal is as follows: 15 10 5 -800-_-400 h 200 400 600 The signal x(t) is the input of an LTI filter with frequency response lH(c) shown below 0.5 -&- 400︺-200 0 200 400 600 Shown below are four possible outputs of LTI filter when x(t) is the input. Please select the correct output (a) ya(t) (b) y(t)...
6. The distribution law of random variable X is given -0.4 |-0.2 |0 0.1 0.4 0.3 0 0.6 0.2 Pi Find the variance of random variable X. nrohahility density function is:
Complete the following probability distribution table: Probability Distribution Table X P(X) 10 33 0.2 37 0.1 49 0.3