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 to 2 decimal places.)
d. What is the probability that the random
variable X is greater than 20? (Round your answer
to 2 decimal places.)
Consider the following discrete probability distribution. x 15 22 34 40 P(X = x) 0.13 0.49...
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...
Consider the following discrete probability distribution. 15 34 40 Pix-x) 0.15 0.33 0.29 0.23 a. Is this a valid probability distribution? Yes, because the probabilities add up to 1. ONo, 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 25? (Round your answer to 2 decimal places.)...
The probability mass function for the discrete random variable X is p(X=0)=0.13; p(X=1)=0.31; p(X=2)=m. What is the expected value of X? Hint: First compute m, then find the expectation of X. Round your answer to the nearest hundredth.
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 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...
Is the following a discrete probability distribution x P(x) 92 0.14 30 0.14 70 0.30 10 0.08 51 0.10 42 0.24
Is the following a discrete probability distribution? X P(x) 92 0.14 30 0.14 70 0.30 10 0.08 51 0.10 42 0.24
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Given the following discrete probability distribution, calculate the variance of the random variable X. Round your answer to 2 significant places after the decimal. x P(x) -1 0.29 2 0.35 4 0.08 6 0.28