7. People who have been in contact with a carrier of a disease, have a chance of contracting the disease. Suppose that a normally distributed experimental population shows that on the average 200 people become infected with a standard deviation of 11 people. Find the approximate probability that at least 220 people will contract the disease. (A) 0.181 (B) 0.965 (C) 0.034 (D) 0.137
7. People who have been in contact with a carrier of a disease, have a chance of contracting the disease. Suppose that a normally distributed experimental population shows that on the average 200 people become infected with a standard deviation of 11 people. Find the approximate probability that at least 220 people will contract the disease. (A) 0.181 (B) 0.965 (C) 0.034 (D) 0.137
MATLAB: An Introduction with Applications
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Transcribed Image Text:**Problem 7: Probability of Disease Contraction**
People who have been in contact with a carrier of a disease have a chance of contracting the disease. Suppose that a normally distributed experimental population shows that, on average, 200 people become infected with a standard deviation of 11 people.
**Objective**: Find the approximate probability that at least 220 people will contract the disease.
**Options**:
- (A) 0.181
- (B) 0.965
- (C) 0.034
- (D) 0.137
This problem involves understanding the distribution of infections using a normal distribution model. By analyzing the given mean and standard deviation, you can calculate the probability of the event where 220 or more people get infected using statistical methods such as Z-scores.
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