Concept explainers
Let the random variables X and Y have the probability distributions listed in Table 15. Determine the probability distributions of the random variables in Exercises 13–20.
Table 15
K |
|
k |
|
0 |
.1 |
5 |
.3 |
1 |
.2 |
10 |
.4 |
2 |
.4 |
15 |
.1 |
3 |
.1 |
20 |
.1 |
4 |
.2 |
25 |
.1 |
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
Finite Mathematics & Its Applications (12th Edition)
- If P(X)=X/6, what are the possible values of X for it to be a probability distribution? a. 0,2,3. c. 2,3,4 b. 1,2,3 d. 1.1.2arrow_forwardIdentifying H0 and H1 In Exercises 5–8, do the following: a. Express the original claim in symbolic form. b. Identify the null and alternative hypotheses. Pulse Rates Claim: The standard deviation of pulse rates of adult males is more than 11 bpm. For the random sample of 153 adult males in Data Set 1 “Body Data” in Appendix B, the pulse rates have a standard deviation of 11.3 bpm.arrow_forward4. Write the distribution for the formula and determine whether it is a probability distribution or not? P(X) = X + 1, for X = 0, 1, 2, 3, 4.arrow_forward
- Probability Lecture.arrow_forwardA random variable takes the values 3,4,5. p(X = 3) = 0.4 and E(X) = 3.8. p(X < 4/X < 5) = %3D Select one: a. O b. Od. O d. -IN -T C.arrow_forwardsuppose that X is a random variable with probability distribution.P(X=k)= 0.02k,where k takes the values 8,12,10,20. find the mean of X.arrow_forward
- The random variable X represents the number of children per family in a rural area in Ohio, with the probability distribution: p(x) = 0.05x, x = 2, 3, 4, 5, or 6. 1. Express the probability distribution in a tabular form. 2 3 4 6 P(X)arrow_forwardLet x be a random variable that represents blood glucose level after a 12-hour fast. Let y be a random variable representing blood glucose level 1 hour after drinking sugar water (after the 12-hour fast). Units are in milligrams per 10 milliliters (mg/10 ml). A random sample of eight adults gave the following information. I need help with Part A, B, and Carrow_forwardThe variable smokes is a binary variable equal to one if a person smokes, and zero otherwise. Using the data in SMOKE, we estimate a linear probability model for smokes: smokes = .656 – .069 log(cigpric) + .012 log(income) – .029 educ (.855) (.204) (.026) (.006) [.856] [.207] [.026] + .020 age – .00026 age? – .101 restaurn – .026 white [.006] (.006) (.00006) (.039) (.052) [.005] [.00006] [.038] [.050] n = 807, R² = .062. The variable white equals one if the respondent is white, and zero otherwise; the other independent vari- ables are defined in Example 8.7. Both the usual and heteroskedasticity-robust standard errors are reported. (i) Are there any important differences between the two sets of standard errors? (ii) Holding other factors fixed, if education increases by four years, what happens to the estimated probability of smoking? (iii) At what point does another year of age reduce the probability of smoking? (iv) Interpret the coefficient on the binary variable restaurn (a dummy…arrow_forward
- Suppose a discrete random variable X takes only three values 0, 2 and 3. If P(0)=0.5, P(2)=0.2 and P(3)=D0.3 then P(X>1) is equal to: Select one: a. 0.3 b. 0.2 C. 0.5 d. 0arrow_forwardCalculate the relative frequency P(E). You roll two dice 10 times. Both dice show the same number 2 times, and on 3 rolls, exactly one number is odd. E is the event that the sum of the numbers is even. P(E) =arrow_forwardThe random variable X has the discrete variable in the set {-1,- 0.5, 0.7, 1.5, 3} the corresponding probabilities are assumed to be {0.1, 0.2, 0.1, 0.4, 0.2}. Plot its distribution function and state is it a discrete or continuous distribution function.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL