Question 847145
Use the characteristics of a binomial experiment. 
Seventeen percent of married couples say they are planning a trip to Europe. You randomly select 15 married couples and ask each if they are planning to travel to Europe. 

X~Binomial(15, 0.17)

1. What is the probability that exactly 1 couple says they plan to travel to Europe?
P(X = 1) = {{{(matrix(2,1,15,x))(0.17^1)(0.83^14)}}} = {{{highlight(0.1878)}}}


2. What is the probability that more than 1 couple say they plan to travel to Europe?
P(X > 1) = 1 - P(X ≤ 1) 
         =  {{{1 - sum( (matrix(2,1,15,x))(0.17^x)(0.83^(15-x)), x = 0, 1 )}}}
         = {{{highlight(0.7511)}}}
3. What is the probability that at most 2 couples say they plan to travel to Europe?
P(X ≤ 2) =  {{{sum( (matrix(2,1,15,x))(0.17^x)(0.83^(15-x)), x = 0, 2 )}}}
         = {{{highlight(0.5181)}}}
4. What is the probability that less than 5 couples say they plan to travel to Europe? 
P(X < 5) =  {{{sum( (matrix(2,1,15,x))(0.17^x)(0.83^(15-x)), x = 0, 4 )}}}
         = {{{highlight(0.9039)}}}