Answer:
a) The probability that the next house will be contacted and refuse to cooperate is 0.378
b) The probability of failing to contact a house, or making contact and not getting them to agree to the interview is 0.778
c) The probability of failing to contact a house, or making contact and not getting them to agree to the interview is the sum of both probabilities:
1. the probability of failing to contact a house. it is equal to 0.4
2. the probability of making contact and not getting them to agree to the interview. It is equal to 0.378
P = 0.4 + 0.378 = 0.778
Step-by-step explanation:
From the question we know that interviewers reach 60% of the households and from those who are contacted, 37% is agree to cooperate with the survey. That's mean that the 63% of the reached household refuse to cooperate.
So the probability that the next house will be contacted and refuse to cooperate can be calculate as:
P=<u> 0.6 </u> * <u> 0.63 </u>= 0.378
Reach the households and refuse to cooperate
For part b, we need to identify and sum 2 independent probabilities:
1. the probability of failing to contact a house
2. the probability of making contact and not getting them to agree to the interview.
From part a we know that 0.378 is the probability of making contact and not getting them to agree to the interview.
Additionally, the probability of failing to contact a house is 0.4 because this probability is the complement of the probability of reach a household. This is calculate as:
1-0.6=0.4
Then the probability of failing to contact a house, or making contact and not getting them to agree to the interview is the sum of both probabilities:
P = 0.4 + 0.378 = 0.778
