Solution Found!
Refer to Exercise 2.149. Let the random variable Y
Chapter 2, Problem 150SE(choose chapter or problem)
Problem 150SE
Refer to Exercise 2.149. Let the random variable Y represent the number of symptoms possessed by a person chosen at random from the group. Compute the probabilities associated with each value of Y .
Reference
A large group of people is to be checked for two common symptoms of a certain disease. It is thought that 20% of the people possess symptom A alone, 30% possess symptom B alone, 10%possess both symptoms, and the remainder have neither symptom. For one person chosen at random from this group, find these probabilities:
a The person has neither symptom.
b The person has at least one symptom.
c The person has both symptoms, given that he has symptom B.
Questions & Answers
QUESTION:
Problem 150SE
Refer to Exercise 2.149. Let the random variable Y represent the number of symptoms possessed by a person chosen at random from the group. Compute the probabilities associated with each value of Y .
Reference
A large group of people is to be checked for two common symptoms of a certain disease. It is thought that 20% of the people possess symptom A alone, 30% possess symptom B alone, 10%possess both symptoms, and the remainder have neither symptom. For one person chosen at random from this group, find these probabilities:
a The person has neither symptom.
b The person has at least one symptom.
c The person has both symptoms, given that he has symptom B.
ANSWER:
Step 1 of 2:
Here it is given that 20% of the people possess symptom A,30% of the people possess symptom B , 10% of the people possess both t5he symptoms and remaining people possess neither symptoms.
Let Y denotes the number of symptoms a person can possess. Then Y can take values 0,1 and 2.
We need to find the probabilities associated with each values of Y.