Homework Help is Here – Start Your Trial Now!
Math
Statistics
Question 6.13. If P(X < c[Y = 4) = 2/3, what is c? a. 6 b. 7 С. 8 d. 9

Question 6.13. If P(X < c[Y = 4) = 2/3, what is c? a. 6 b. 7 С. 8 d. 9

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
icon
Concept explainers
Question
6.13 please!
**Transcription of Text for Educational Website** --- **Probability and Random Variables with Dice** *Use the following information for the next 4 questions.* Suppose that a pair of dice is rolled, and let \( X \) be the sum of the two numbers from each dice. Let's also define an additional random variable, \( Y \), as the number from the first dice (we can figure out which one is the first dice). **Question 6.10**: Which of the following is equal to \( P(X \leq 6) - P(X \leq 4) \)? - a. \( P(6 \leq X \leq 7) \) - b. \( P(7 \leq X \leq 9) \) - c. \( P(9 \leq X \leq 10) \) - d. \( P(9 \leq X \leq 11) \) **Question 9**: What is \( P(1 < X \leq 4) \)? - a. .3125 - b. .635 - c. .9375 The correct answer is circled as option c, .9375. --- **Explanation** The questions involve determining probabilities related to the sum of two dice rolls. A pair of six-sided dice results in potential sums ranging from 2 to 12. The calculations generally involve understanding probability distributions and cumulative probabilities for these sums.
Transcribed Image Text:**Transcription of Text for Educational Website** --- **Probability and Random Variables with Dice** *Use the following information for the next 4 questions.* Suppose that a pair of dice is rolled, and let \( X \) be the sum of the two numbers from each dice. Let's also define an additional random variable, \( Y \), as the number from the first dice (we can figure out which one is the first dice). **Question 6.10**: Which of the following is equal to \( P(X \leq 6) - P(X \leq 4) \)? - a. \( P(6 \leq X \leq 7) \) - b. \( P(7 \leq X \leq 9) \) - c. \( P(9 \leq X \leq 10) \) - d. \( P(9 \leq X \leq 11) \) **Question 9**: What is \( P(1 < X \leq 4) \)? - a. .3125 - b. .635 - c. .9375 The correct answer is circled as option c, .9375. --- **Explanation** The questions involve determining probabilities related to the sum of two dice rolls. A pair of six-sided dice results in potential sums ranging from 2 to 12. The calculations generally involve understanding probability distributions and cumulative probabilities for these sums.
**Question 6.11.** If \( P(X \geq b) = \frac{1}{6} \) and \( P(a \leq X < b) = \frac{5}{12} \), what is \( a + b \)? a. 16 b. 17 c. 18 d. 19 _Selected Answer: b. 17_ --- **Question 6.12.** What is \( P(X \geq 10 | Y = 6) \)? a. \( \frac{1}{12} \) b. \( \frac{1}{4} \) c. \( \frac{1}{3} \) d. \( \frac{1}{2} \) _Selected Answer: d. \(\frac{1}{2}\)_ --- **Question 6.13.** If \( P(X \leq c | Y = 4) = \frac{2}{3} \), what is \( c \)? a. 6 b. 7 c. 8 d. 9 _Selected Answer: d. 9_ --- **Use the following information for the next 3 questions:** Suppose we have a continuous random variable \( X \). - \( P(1 \leq X \leq 2) = 0.2 \) - \( P(2 \leq X \leq 4) = 0.6 \) - \( P(1 \leq X \leq 3) = 0.5 \) - \( P(3 \leq X \leq 6) = 0.5 \) --- **Question 6.14.** What is \( P(2 \leq X \leq 3) \)? a. 0.1 b. 0.2 c. 0.3 d. 0.4 *(Options for the answer were not circled or specified.)*
Transcribed Image Text:**Question 6.11.** If \( P(X \geq b) = \frac{1}{6} \) and \( P(a \leq X < b) = \frac{5}{12} \), what is \( a + b \)? a. 16 b. 17 c. 18 d. 19 _Selected Answer: b. 17_ --- **Question 6.12.** What is \( P(X \geq 10 | Y = 6) \)? a. \( \frac{1}{12} \) b. \( \frac{1}{4} \) c. \( \frac{1}{3} \) d. \( \frac{1}{2} \) _Selected Answer: d. \(\frac{1}{2}\)_ --- **Question 6.13.** If \( P(X \leq c | Y = 4) = \frac{2}{3} \), what is \( c \)? a. 6 b. 7 c. 8 d. 9 _Selected Answer: d. 9_ --- **Use the following information for the next 3 questions:** Suppose we have a continuous random variable \( X \). - \( P(1 \leq X \leq 2) = 0.2 \) - \( P(2 \leq X \leq 4) = 0.6 \) - \( P(1 \leq X \leq 3) = 0.5 \) - \( P(3 \leq X \leq 6) = 0.5 \) --- **Question 6.14.** What is \( P(2 \leq X \leq 3) \)? a. 0.1 b. 0.2 c. 0.3 d. 0.4 *(Options for the answer were not circled or specified.)*
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS