Explanation Given: The number of independent trials is 5 . The probability of successes is p = 2 5 . 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: Calculate the value of q . Substitute 2 5 for p in the expression for q . q = 1 − 2 5 = 3 5 Write the binomial distribution expression to calculate the probability of success of an event. To determine (b). To find: The value of P ( 2 ≤ X ≤ 4 ) .

Finite Mathematics for the Managerial, Life, and Social Sciences, 11th Edition

11th Edition

ISBN: 9781285464657

Author: Soo T. Tan

Publisher: Brooks Cole

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 18E

To determine

(a).

To find:

The value of P(X=4).

To determine

(b).

To find:

The value of P(2≤X≤4).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.4, Problem 17E

Chapter 8.4, Problem 19E

Students have asked these similar questions

Consider the following elevation function for a region of irregular terrain: z(x, y) = 1 x² + y² 25 Here, z is the elevation of the terrain over a point (x, y) with x and y being the horizontal coordinates. The region of interest lies between x = 0 and x = 5, and y 0 and y = 5. Your tasks are the following: = 1. Analyze how the elevation changes with respect to x and y. To find the elevation changes, calculate the partial derivatives of the elevation function z with respect to x and 2. Calculate the total volume of soil above the 0-level (z region of interest. = y. 0). To do so, integrate z(x, y) over the whole

help please

Find a second-order homogeneous linear ODE for which 1, e3x are solutions

Chapter 8 Solutions

Finite Mathematics for the Managerial, Life, and Social Sciences, 11th Edition

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.