Explanation Approach: The expanded expression of C ( n , x ) is given as; C ( n , x ) = n ! x ! ( n − x ) ! If p is the probability of success of an event and q is the probability of failure of an event. Then, the relationship between p and q is given as: q = 1 − p The probability of x successes in n independent trials is given by, P ( X = x ) C ( n , x ) p x q n − x Such that, x = 0 , 1 , 2 , 3 ......... , n Here, X is the binomial random variable and the probability distribution of X is called a binomial distribution. Calculation: Let X denote the number of 6 s obtained. The die is rolled 4 times. So, the number of trial is, n = 4 . The probability of getting a 6 . p = 1 6 Calculate the value of q . Substitute 1 6 for p in the expression for q . q = 1 − 1 6 = 5 3 Write the binomial distribution expression to calculate the probability of success of an event.

Finite Mathematics for the Managerial, Life, and Social Sciences

12th Edition

ISBN: 9781337405782

Author: Soo T. Tan

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Videos

Question

Chapter 8.4, Problem 17E

To determine

The probability of obtaining two 6s when the die is rolled four times.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.4, Problem 16E

Chapter 8.4, Problem 18E

Students have asked these similar questions

Mathematics Mastery Quiz Instructions: • No partial credit will be awarded; any mistake will result in a score of 0. Submit your solution before the deadline. Ensure your solution is detailed and all steps are well-documented. Problem Let the function f(x, y) = x²y³ - 3x+y+ety and consider the following tasks: 1. [Critical Points and Classification] a. Find all critical points of f(x, y). b. Use the second partial derivative test to classify each critical point as a local minimum, local maximum, or saddle point. 2. [Line Integral Evaluation] Consider the vector field F(x, y) = (2x³y - y³ + e², 3x²y² - 4x³ + e³). a. Verify whether F is conservative. b. If conservative, compute the line integral of F along the curve C, parameterized as: C: Sx(t) = t² [y(t) = ln(t + 1)' tЄ [0,1].

Advanced Functional Analysis Mastery Quiz Instructions: . No partial credit will be awarded; any mistake will result in a score of 0. . Submit your solution before the deadline. Ensure your solution is detailed, and all steps are well-documented. No Al tools (such as ChatGPT or others) may be used to assist in solving the problems. All work must be your own. Solutions will be checked for Al usage and plagiarism. Any detected violation will result in a score of 0. Problem Let X and Y be Banach spaces, and T: XY a bounded linear operator. Consider the following tasks: 1. [Bounded Linear Operators and Closed Graph Theorem] a. State and prove the Closed Graph Theorem, which asserts that if T: XY is a linear operator between Banach spaces and the graph of T' is closed in X x Y, then I' is bounded. b. Using the Closed Graph Theorem, show that if T: XY is an injective linear operator and the graph of 'I' is closed, then I' is bounded. 2. [Convergence and Strong vs Weak Topologies] a. Define…

Please give a handwritten solution without use of AI

Chapter 8 Solutions

Finite Mathematics for the Managerial, Life, and Social Sciences

Ch. 8.1 - What is a random variable? Give an example.Ch. 8.1 - Prob. 2CQ Ch. 8.1 - Prob. 3CQ Ch. 8.1 - Three balls are selected at random without...Ch. 8.1 - 2.A coin is tossed four times. Let the random...Ch. 8.1 - A die is rolled repeatedly until a 6 falls...Ch. 8.1 - Cards are selected one at a time without...Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The probability of obtaining two 6 s when the die is rolled four times.

Solution Summary: The author calculates the probability of obtaining two 6s when the die is rolled four times.

Concept explainers

Videos

The probability of obtaining two 6s when the die is rolled four times.

Want to see the full answer?

Chapter 8 Solutions