Q.9 The probability that a patient recovers from a disease is 0.8. Suppose 5 people are known to have contracted the disease. Assuming independence find the probability that: (1) exactly 4 recover (iii) at least one but not more than three recover (ii) at least one recover (iv) at most three recover. (iv) 0.26272 Ans. (i) 0.4096 (ii) 0.99968 (iii) 0.2624
Q.9 The probability that a patient recovers from a disease is 0.8. Suppose 5 people are known to have contracted the disease. Assuming independence find the probability that: (1) exactly 4 recover (iii) at least one but not more than three recover (ii) at least one recover (iv) at most three recover. (iv) 0.26272 Ans. (i) 0.4096 (ii) 0.99968 (iii) 0.2624
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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.
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![[Chapter 9] Binomial and Hypergeometric Distributions
401
Q.9 The probability that a patient recovers from a disease is 0.8. Suppose 5 people
are known to have contracted the disease. Assuming independence find the
probability that:
(i) exactly 4 recover
(ii) at least one recover
(iii) at least one but not more than three recover
(iv) at most three recover.
Ans. (i)
0.4096
(ii) 0.99968
(iii) 0.2624
(iv) 0.26272](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F144ccd9c-fcdd-44a5-b0c1-d851f66e472c%2F0c2c3412-fa49-4373-afcd-33e90bf91cd2%2Fx23c7a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[Chapter 9] Binomial and Hypergeometric Distributions
401
Q.9 The probability that a patient recovers from a disease is 0.8. Suppose 5 people
are known to have contracted the disease. Assuming independence find the
probability that:
(i) exactly 4 recover
(ii) at least one recover
(iii) at least one but not more than three recover
(iv) at most three recover.
Ans. (i)
0.4096
(ii) 0.99968
(iii) 0.2624
(iv) 0.26272
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