A survey on British Social Attitudes asked respondents if they had ever boycotted goods for ethical reasons (Statesman, January 28, 2008). The survey found that 23% of the respondents have boycotted goods for ethical reasons.

In a sample of six British citizens, what is the probability that two have ever boycotted goods for ethical reasons?

The probability that two have ever boycotted goods for ethical reasons.= .2789

Step-by-step explanation:

Given - The survey found that 23% of the respondents have boycotted goods for ethical reasons .

The probability of success ( p) = 23 = 0.23

The probability of failure ( q) = 1 - p = .77

n = 6  

Let X be the number of British citizens boycotted goods for ethical reasons.

The probability that two have ever boycotted goods for ethical reasons.

( Using Binomial distribution )

               =

              =  

              =  

              = .2789

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.