Problem 3-11 (algorithmic) a recent survey by the new statesman on british social attitudes asked respondents if they believe that inequality is too large. the survey found that 70% of the respondents do believe inequality is too large. in a sample of six british citizens, what is the probability that two believe inequality is too large? if required, round your answer to four decimal places.

0.0595

Step-by-step explanation:

The formula for binomial distribution :-

, where P(x) is the probability of success in x trials ,n is the sample size and p is the population proportion for each trial.

Given : Proportion of respondents do believe inequality is too large : p= 0.7  

Sample size :n=6

Then , the probability that two believe inequality is too large:-

Hence, the probability that two believe inequality is too large = 0.0595