If 51% of a population will vote for Candidate A in an election, what is the probability that in a random sample of 75 voters, fewer than 50% of the sample will vote for Candidate A

The value is  

Step-by-step explanation

From the question we are told that

    The population proportion is  p =  0.51

     The sample size is  n  =  75

Generally given that the sample size is large enough (i.e n > 30) the mean of this sampling distribution is mathematically represented as

Generally the standard deviation of this sample distribution is mathematically represented as

=>          

=>          

Generally the probability that in a random sample of 75 voters, fewer than 50% of the sample will vote for Candidate A is mathematically represented as

=>      

From the z table  the area under the normal curve to the left corresponding to   -0.1720  is

So

b

step-by-step explanation: