1. (3 points) Explain why each of the following is not a valid discrete probability distribution....
Discrete Probability Distributions, Continuous Probability Distri- butions, and Sampling Distributions (100 points) 1. Does each of the following tables represent a probability distribution? Explain why or why not. For those that represent a probability distribution, calculate the mean and variance of the variable r. a f(x) 0.5 0.25 0.25 f(x) 0.4 0.4 0.4 0.2 ( X 1 2 3 4 C) f(x) 0.5 0.3 0.3 -0.1
Which of the following distributions is(are) valid discrete probability distribution(s)? 2. 3. 4. X p(x) X P(X) X p(x) X P(X) 0.3 0 0.3 0 0.2 0 0.1 1 0.4 1 -0.2 1 0.7 1 0.1 2 0.3 2 0.9 2 0.2 N 0.8 O All are valid O 1,3, and 4 only 1 and 4 only 1 only 4 only
Please answer the three questions below: 1) 2) 3.) Below is a binomial distribution for n-7 and p 0.4. 0.25 0.2 0.15 0.1 0.05 Number of Successes Binomial Distribution Calculate the mean of the binomial distribution. Preview [two decimal accuracy] Below is a binomial distribution for n 6 and p 0.6 0.3 0.25 0.2 S0.15 0.1 0.05 Number of Successes Binomial Distribution Calculate the standard deviation of the binomial distribution. Preview [three decimal accuracy 0.35 0.3 0.25 0.2 0.15 0.1...
Find the area under the curve. Total Time (sec) Reading on Meterstick (cm) 0.00 0 4.0 0.05 0.10 10.4 0.15 19.3 0.20 30.3 0.25 44.0 0.30 60.0 0.35 78.5 0.40 99.4 0.45 122.8 Distance vs Time 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5
Discrete Random Variable. The random variable x has the discrete probability distribution shown here: x -2 -1 0 1 2 p(x) 0.1 0.15 0.4 0.3 0.05 Find P(-1<=x<=1) Find P(x<2) Find the expected value (mean) of this discrete random variable. Find the variance of this discrete random variable
Determine if the following tables can serve as a probability distribution for some random variable based on the three conditions: (1) $X$ values are numerical. (2) $P(x)$ values are between 0 and 1 and. (3) sum of P(x) values is 1 (P(x) = 1). If all three conditions are met, write not applicable (NA) for the second part. (a) x 02 3 4 5 P(x) 0.2 0.24 0.16 0.3 0.2 This table a a probability distribution because it does not...
2.1 Let X be a discrete random variable with the following probability distribution Xi 0 2 4 6 7 P(X = xi) 0.15 0.2 0.1 0.25 0.3 a) find P(X = 2 given that X < 5) b) if Y = (2 - X)2 , i. Construct the probability distribution of Y. ii. Find the expected value of Y iii. Find the variance of Y
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
Please answer both questions. Will Rate!! An automobile service facility specializing the next car to be tuned engine tune-ups knows that 50 % of all tune-ups are done on four-cylinder automobiles, 35% on six-cylinder automobiles, and 15% on eight-cylinder automobiles. Let J the number of cylinders (a) What is the pmf of X7 P(x) line araph for the pmf of part (a). (b) Draw Probability Probability 0.5 0.45 0.4 035 0.3 0.5 045 0.4 О35 0.3 0.25 0.25 0.2 0.2...
Explain why this is or is not a probability distribution × 1 2 3 4 P(×) 0.4 0.3 0.3 0.0 Is this not a probability distribution since the probability add to 1.4, not 1 Explain why this is or is not a probability distribution X13 P(x) 0.4 0.3 0.3 0.0 No this is not a probability distribution sine the probability add to 1.4, not 1 Part 2 A USA Snapshot titled Are you getting a summer job? Interview...