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Diseases I and II are prevalent among people in a certain population. It is assumed that 10% of the population will contract disease I sometime during their lifetime, 15%will contract disease II eventually, and 3% will contract both diseases
Find the probability that a randomly chosen person from this population will contract at least one disease.
Find the probability that a randomly chosen person from this population will contract neither disease.
Find the probability that a randomly chosen person from this population will contract disease I but not disease II.

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Keith Leannon
Keith LeannonLv2
28 Mar 2019
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

People enter a restaurant and check their hat at the coat check, but since the worker is new, he makes the mistake of throwing all the hats in a pile. When the patrons return to claim their hats at the end of the evening, the worker gives each person a random hat from the pile.  

1. What is the probability that no one receives their own hat back if there are only 2guests?

2. What is the probability that no one receives their own hat back if there are 3 guests?

3. What is the probability that no one receives their own hat back if there are 4 guests?

4. What is the probability that no one receives their own hat back if there are 8 guests?

5.What is the probability that no one receives their own hat back if there are 10 guests?

To solve, build a systematic method. For example, one way you could do it is by defining several events, where P_i = the number of ways of a person i to recive their hat correctly, and then the number of ways that at least one person to recive their hat is the union of P_1,...,P_n; finally, you can count this using inclusion/exlusion, then count the complement to finish the problem. 

 

Identify the population and the sample.

1. 

 

2.

3.

Determine whether the sample is biased or unbiased. Explain.

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5. At the end of the year, a math teacher decides to survey his students to determine what they liked best about his class. He users his first-period class as his sample.

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Given an example of a biased sample and an unbiased sample.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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