danrussekme
2021-11-15
According to the most recent national political poll, there is a 0.55 percent chance that a randomly chosen American is conservative, a 0.30 percent chance that they are liberal, and a 0.15 percent chance that they are middle-of-the-road. Assuming that these probabilities are accurate, answer the following questions pertaining to a randomly chosen group of 10 Americans. What is the probability that none are conservative?
Ruth Phillips
Beginner2021-11-16Added 18 answers
Step 1
Given information-
according to the most recent American survey-
The probability that they are conservative
The probability that they are liberal
The probability that they are middle-of-the-road
We have given a problem of binomial distribution.
We need to calculate the likelihood that none are conservative.
So,
Probability of success,
No. of trial,
Let, probability that they are conservative.
Given is the probability that k trials will result in success.
Step 2
So,
The probability that none are conservative.
No. of success desire,
Therefore, there is a 0.0034 percent chance that none are conservative.
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