Please solve the following Statistics and Probability Problem (show all work) :    The probability that a patient recovers from a rare blood disease is 0.4 and 10 people are known to havecontracted this disease. Let X denote the random variable which denotes the number of patient who survivefrom the disease.1. Plot the probability mass function (pmf) of X.2. Plot the cumulative distribution function (cdf) of X.3. What is the probability that at least 8 survive, i.e., P {X ≥ 8}?4. What is the probability that 3 to 8 survive, i.e., P {3 ≤ X ≤ 8}?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Please solve the following Statistics and Probability Problem (show all work) : 

 

The probability that a patient recovers from a rare blood disease is 0.4 and 10 people are known to have
contracted this disease. Let X denote the random variable which denotes the number of patient who survive
from the disease.
1. Plot the probability mass function (pmf) of X.
2. Plot the cumulative distribution function (cdf) of X.
3. What is the probability that at least 8 survive, i.e., P {X ≥ 8}?
4. What is the probability that 3 to 8 survive, i.e., P {3 ≤ X ≤ 8}?

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