Question

6.) Assume that 15% of the people in your expedition trip own a mobile phone, and you are randomly assigned to two partners in your group. Find the probability that: a) The first partner will have a mobile phone b) The first partner will not have a mobile phone c) That both partners have a mobile phone d) That at most one will have a mobile phone

7.) The following contingency table shows U.S. Adults, broken down by political party affiliation: Nonissue Serious Concern Total Democratic 85 415 500 Republican 290 210 500 Independent 70 130 200 Total 445 735 1,200 a) What is the probability that a U.S adult selected at random believes that global warming is a serious concern? b) What type of probability did you find in part a? c) What is the probability that a U.S. adult selected at random is a Republican and believes that global warming is serious issue? d) What type of probability did you find in part c?

9.) Using the table from problem 7: a) What is the probability that a randomly selected U.S. adult who is a Republican believes that global warming is a serious issue? b) What is the probability that a randomly selected U.S. adult is a Republican given that he or she believes that global warming is a serious issue? c) What is the probability that a randomly selected U.S. adult is a Democrat and has serious concern for global warming?

12.) Facebook reports that 70% of their users are from outside of the United States and that 50% of their users log on to Facebook every day. Suppose 20% of their users are United States users log on every day. a) What percentage of Facebook’s users are from the United States? b) What type of probability is the 20% mentioned above? c) Construct a contingency table showing all the joint and marginal probabilities. d) What is the probability that a user is from the United States given that he or she logs on every day? e) Are From the United States and Log on Every Day independent? Explain

33.) In a sample of real estate ads, 64% of homes for sale had garages, 21% have swimming pools, and 17% have both features. What is the probability that a home for sale has: a) A pool, a garage, or both? b) Neither a pool nor a garage? c) A pool but no garage?

please explain how you did each one as i am really lost on these thank you so much

Answer 1

SOLUTION 6:Let first partner = A and second partner = B

a The probability that the first partner will have mobile phone

Answer: P (A) = 0.15

b) The probability that the first partner won’t have mobile phone

Answer:1-P (A) =1-0.15=0.85

c) The probability that both will have mobile phones

Answer:P (A∩B) = P (A) P (B|A) = 0.15*0.15=0.0225

d) The probability that at most one will have a mobile phone

Answer:P (A∪B) = P (A) + P (B) – P (A∩B) =0.15+0.85-(0.225) =1-0.0225= 0.9775

NOTE: AS PER THE GUIDELINES I HAVE DONE THE FIRST PLEASE RE POST THE REST. THANK YOU.