Good afternoon I will like help with question 2, please explain with details.

H q.utoronto.ca AssignmentOZpdf:MAT133Y5 v LECQ10... 'I "\""r"'" '\"" r\""'"'""'-\"'J ' \\\" _l' ii) Compute the conditional probability that X = 2 given that TJ's rst ip is a heads. iii) Compute ]E[X]. Question 2. Suppose that you are given six shapes, each containing a number, as shown below: AAIEQQ3 i) You choose exactly one shape at random. Assuming that the probability of choosing each shape is equal, what is the expected number of sides of the shape that you select? ii) We repeat the experiment in part (i), but now suppose that each number describes the probability that you choose that shape (out of 25). For example, the triangle with a 4 will be chosen with a probability of 4/25, while the pentagon with a 3 will be chosen with a probability 3/25. What is the expected number of sides? Numeracy 3. 1. Suppose f is a function which satises f (a: + y) = f (m) f (y) for all 2,3; 6 1R. What are the possible values of f (0)? 2. Let f (m) = ln(x) + x3 + as 3. This function is invertible. What is the value of f '1(1)? Numeracy 4. 1. Consider the function f, dened on IR, whose graph on the interval [3, 3] is given below: Ty