Please see the attached, a= 9 b= 8

8:51AM Tue Jan 18 d2l.nlc.bc.ca MATH104AO/MGMT290AO Assignment #3 Following Unit 2 in the manual. 1. [3 points] Given a random experiment of tossing three fair coins. a. Find the sample space. b. Find the probability of observing exactly two heads. Interpret your answer as a relative frequency. c. Find the probability of observing at least two heads. d. Find the probability of observing less than two heads. e. Find the probability of observing more than two heads. 2. [3 points] For the (modied) Titantic Passengers data: Women Boys -f:IS- Suppose that one passenger is randomly selected. (a) Complete the table. The number in the bottomright corner is the grande total. (b) Find the probability of selecting a girl. (c) Find the probability of selecting a girl or a man. (d) Find the probability of selecting a man or a died passenger. 3. [4 points] A statistic class has 12+ (1 girls and 7+5 boys. Suppose that two students are randomly selected for summer projects. (a) If the selections are made with replacement (this means that a student may be selected twice), nd the probability of selecting two girls. (b) If the selections are made with replacement, nd the probability of selecting at least one boy. (c) If the selections are made without replacement (this means that no student can be selected twice), nd the probability of selecting two girls. (d) If the selections are made without replacement, nd the probability of selecting at least one boy. (e) If the selections are made without replacement, nd the probability of selecting at most one boy. (f) If the selections are made without replacement, nd the probability of selecting exactly one boy