Consider the following discrete probability distribution. 15 34 40 Pix-x) 0.15 0.33 0.29 0.23 a. Is...
Consider the following discrete probability distribution. x 15 22 34 40 P(X = x) 0.13 0.49 0.24 0.14 a. Is this a valid probability distribution? Yes, because the probabilities add up to 1. No, because the gaps between x values vary. b. What is the probability that the random variable X is less than 38? (Round your answer to 2 decimal places.) c. What is the probability that the random variable X is between 10 and 28? (Round your answer...
Consider the following discrete probability distribution 15 22 P(X x) 0.14 0.38 0.27 0.21 xc 34 40 a. Is this a valid probability distribution? O Yes, because the probabilities add up to 1. O No, because the gaps between x values vary. b. What is the probability that the random variable X is less than 36? (Round your answer to 2 decimal places.) Probability c. What is the probability that the random variable X is between 12 and 30? (Round...
2. 20 greater tildll 20! Consider the following discrete probability distribution. -25 -15 10 20 PIX=x) 0.35 0.10 0.10 a. Complete the probability distribution. b. Graphically depict the probability distribution and comment on the symmetry of the distribution. C. What is the probability that the random variable X is negative? d. What is the probability that the random variable X is greater than -20? e. What is the probability that the random variable X is less than 20?
The probability distribution for the random variable x follows. x f(x) 20 0.23 24 0.14 30 0.30 36 0.33 Is this a valid probability distribution? SelectYes, because all f(x) are ≥ 0 and sum of f(x)=1Yes, because all f(x) are ≤ 0 and sum of f(x)=1Yes, because all f(x) are ≥ 0 and sum of f(x)>1Yes, because all f(x) are = 0 and sum of f(x)=1Item 1 What is the probability that x = 30 (to 2 decimals)? What is...
Fill in the P(X = x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are 2, 3, 4, 5, and 6. Value I of x P(x = x) 2 0.16 3 4 0.17 0.29 6 0 X 6 For Subm Let X be a random variable with the following probability distribution: 1 Value x of X P(X=x) 0.25 2 0.05 3 0.15 4 0.15 5 0.10 6 0.30 Find the expectation E...
Which of the following is/are required for the probability distribution of a discrete random variable X with probabilities P(X= x), to be valid? I. PX x) is between 0 and 1 for all values of x. 2aPXx) ii. all x i, all x2 0 Il and Ill only Il only I and Il only I, II, and III only
In the following probability distribution, the random variable x represents the number of activities a parent of a 6 th- to 8th-grade student is involved in. Complete parts (a) through (f) below.x01234P(x)0.3670.1330.2090.1160.175(a) Verify that this is a discrete probability distribution.This is a discrete probability distribution because the sum of the probabilities is _______ and each probability is _______ (b) Graph the discrete probability distribution. Choose the correct graph below.(c) Compute and interpret the mean of the random variable x .The mean...
In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5 th-grade student is involved in. Complete parts (a) through (f) below.x01234P(x)0.1670.1940.3440.1780.117(a) Verify that this is a discrete probability distribution.This is a discrete probability distribution because the sum of the probabilities is _______ and each probability is _______ (b) Graph the discrete probability distribution. Choose the correct graph below.(c) Compute and interpret the mean of the random variable x .The mean...
Is the following a discrete probability distribution? X P(x) 40 0.12 66 0.29 2 0.16 38 0.14 57 0.03 34 0.08
Which of the following is/are required for the probability distribution of a discrete random variable X, with probabilities PlX = x) to be valid? 1. Os PCX=x)s 1 for all x 1. P(X=x) - 1 all ill. all x 20 I only Il only I and Il only ll, and I Il and ill only.