Concept explainers
Let x be a binomial random variable with
a. Is the normal approximation appropriate?
b. Find
c. Find
d. Find the exact probabilities for parts b and c, and compare these with your approximations.
a.
To find: Whether the normal approximation will be appropriate.
Answer to Problem 6.38E
The normal approximation will be appropriate.
Explanation of Solution
Given information: The values of
Calculation:
The value of
The value of
Since, the value
Thus, the normal approximation will be appropriate.
b.
To find: The value of
Answer to Problem 6.38E
The value of
Explanation of Solution
Given information: The values of
Calculation:
The mean is,
The standard deviation is,
The
The probability is,
Thus, the value of
c.
To find: The value of
Answer to Problem 6.38E
The value of
Explanation of Solution
Given information: The values of
Calculation:
The
The probability is,
Thus, the value of
d.
To find: The exact value of
Answer to Problem 6.38E
The exact value of
Explanation of Solution
Given information: The values of
Calculation:
The probability using the table is,
The probability using the table is,
Thus, the exact value of
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Chapter 6 Solutions
Introduction to Probability and Statistics
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning