Answer:
The probability that at most 7 favor the new tax is 0.7869
Step-by-step explanation:
Total number of voting resident = 10000
number of voting resident against new sales tax = 4000
therefore probability of choosing a voting resident against new sales tax = 4000/10000 = 0.4
If 15 eligible voters are selected at random and asked their opinion, what is the probability that at most 7 favor the new tax
Using binomial,
number of selected voters(n) =15,
p=0.4
P(x<=0.7) = binomialcdf(15, 0.4, 7)
Using your calculator
P(x<=0.7) = binomialcdf(15, 0.4, 7) = 0.7869