please solve this.

Question 11 (1 point) Michael takes a bus every day to university. The bus arrives on time at his stop 80% of the time, and whether the bus is on time on any given day is independent of any other day. If Michael takes the bus every day during the school week (Monday Friday}, what is the probability the bus is on time at least 4 of the 5 days? 0 0.7773 0 0.7573 0 0.7673 0 0.7373 0 0.7473 Question 10 (1 point) Let the probability distribution of X be given as follows: Xi 0 1 2 pi 0.3 0.4 0.3 What is the variance of X? 0.62 0.60 0.56 O 0.58 0.54Question 9 (1 point) Let the probability distribution of X be given as follows: Xi 4 5 6 Pi 0.1 0.3 0.6 What is the expected value of X? 5.7 5.4 5.8 O 5.5 5.6Question 8 (1 point) The probability of an event A is 0.2. The probability of an event B is 0.5. If A and B are independent, then which of the following are true? (1) P(A ( ) B) = 0.1 (11) P(A U B) = 0.6 (III) P(A | B) = 0.2 I, II and Ill I only I and II only Oil and Ill only O I and Ill onlyQuestion 7 (1 point) What is the probability that the selected person reads Canadian Geographic? Question 6 (1 point} In a random sample of 10 members. what is the probability that exactly 5 of them read Reader's Digest? Assume that whether one person decides to read Reader's Digest is independent of any other person's decision. 0 0.1937 0 0.1337 0 0.2137 0 0.2237 0 0.2037 Question 5 (1 point) What is the probability that the selected person reads Reader's Digest if we know they don't read Maclean's? O 0.47 0.53 0.49 0.51 0.45The following applies to Questions 4 to 7. A survey of the members of a magazine club revealed the following results: 41% read Reader's Digest 33% read Maciean's 56% read Maciean's or Canadian Geographic 11% read Reader's Digest and Canadian Geographic 7% read Maciean's and Canadian Geographic 7% read Reader's Digest and Maciean's 3% read all three magazines We will randomly select one member of the magazine club. Question 4 (1 point) What is the probability that a randomly selected member of the club reads none of the three magazines? Question 2 (1 point) Let X be the sum of the numbers on the two selected balls. Find the probability that X = 15. The following applies to Questions 1 to 3. A box contains five numbered balls {7, 7, 8, 8 and 9}. We will randomly select two balls from the box without replacement. Question 1 (1 point) The outcome of interest is the number on each of the two balls we select. How many outcomes are contained in the sample space? Hints: - Order matters. so the outcome "78" is a different outcome than "87". . A sample space consists of only unique outcomes. Therefore. no outcome should be listed more than once in the sample space. regardless of how likely it is to occur. 0 Since we are selecting without replacement, the bail that is selected on the first selection is not avaiiable to be selected on the second selection. Question 3 (1 point) What is the probability that the maximum of the two selected balls is 9 if we know that the sum of the two selected balls is 16