Question 2 A weekend TV game show called rolling a dice is running each week. For each roll, if the dice shows an odd number the participate earns 40 dollars and otherwise he gets nothing. Each participate can roll the dice 5 times. Let X denote the number times the dice shows an odd number. a) Calculate the average earning of a participate. b) Calculate the probability that the dice shows more than one odd number. c) Under appropriate condition, a Binomial random variable X can be approximated by a Normal random variable Y with the same mean and standard deviation. In doing so, we need to apply a continuity correction. That is P(X > a) × P(Y > a + 0.5). Calculating the probability that x > 1 by using Normal approximation with continuity correction (for all intermediate steps, please keep your result to two decimal places).
Question 2 A weekend TV game show called rolling a dice is running each week. For each roll, if the dice shows an odd number the participate earns 40 dollars and otherwise he gets nothing. Each participate can roll the dice 5 times. Let X denote the number times the dice shows an odd number. a) Calculate the average earning of a participate. b) Calculate the probability that the dice shows more than one odd number. c) Under appropriate condition, a Binomial random variable X can be approximated by a Normal random variable Y with the same mean and standard deviation. In doing so, we need to apply a continuity correction. That is P(X > a) × P(Y > a + 0.5). Calculating the probability that x > 1 by using Normal approximation with continuity correction (for all intermediate steps, please keep your result to two decimal places).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
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 relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
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.
Topic Video
Question
Transcribed Image Text:Question 2
A weekend TV game show called rolling a dice is running each week. For each roll, if the
dice shows an odd number the participate earns 40 dollars and otherwise he gets nothing.
Each participate can roll the dice 5 times. Let X denote the number times the dice shows an
odd number.
a) (2
Calculate the average earning of a participate.
b)
Calculate the probability that the dice shows more than one odd number.
c)
approximated by a Normal random variable Y with the same mean and standard
deviation. In doing so, we need to apply a continuity correction. That is
Under appropriate condition, a Binomial random variable X can be
P(X > a) × P(Y > a + 0.5).
Calculating the probability that X > 1 by using Normal approximation with
continuity correction (for all intermediate steps, please keep your result to two
decimal places).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 5 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON