Reference no: EM132434513

Problem: For this problem, leave answers as decimals rounded to the hundredths. In a survey of 200 US residents: 75% have traveled to Canada, 60% to Mexico, and 45% have traveled to both countries. What's the probability that a US resident chosen at random has

a) traveled to Canada but not to Mexico _________________

b) traveled to either Canada or Mexico, but not both ___________

c) traveled to either Canada or Mexico ______________________

d) not traveled to either country ___________________________

e) did not travel to Mexico ________________________

f) What is the probability that someone who has traveled to Mexico has also visited Canada?

(hint: given that they have traveled to Mexico)     

g) Are traveling to Mexico and Canada disjoint events? Explain

h) Are traveling to Mexico and Canada independent events? Explain using numbers.

4. There are 5 green hats, 7 blue hats and 13 red hats in a box.

Write fractions and leave answers as decimals rounded to 3 decimal points.

a) You randomly select one hat. What are the following probabilities:

P(blue or red) =

P(not green) =

b) You randomly select three hats WITHOUT replacement

P( all green hats) =

P(no blue hats) =

P(at least one blue hat) =