PLEASE SOLVE WITH EXPLANATIONS.

101 If question 1 is true/false and you know you got it right, and question 2 is multiple choice with 4 possible answers, and you randomly guess the answer, what is the probability that you answer both question 1 and question 2 correctly?

102 If you graph a normally distributed set of data (one without obvious irregularities or biases, such as the height of all people in your school), what will the shape of that graph be?

103 Given that the probability of an event A is 9 over 13, what are odds in favour of A?

104 If something involves a binomial distribution, it must be able to meet four conditions. One is a fixed number of distributions. Second condition is a fixed probability of success for each trial. The third requirement is each observation falls into just one of two categories (success or fail). The fourth condition is that each observation is what?

105 Playing Yahtzee, you are trying to get three of a kind. After two rolls five dice show 1-3-5-6-6. You pick up the three dice that aren't 6's and reroll them. What are the odds that you'll have at least three of a kind after your third and final roll? (Be careful)

106I have 3 cards. The mean of the cards is 6. The 1st card is a 3. The 2nd card is a 9. What is the 3rd card?

107An insurance company determines that the probabilities of a driver in their 20s, 30s, 40s, 50s, and 60s getting into a crash at least once within these respective decades are 0.9, 0.6, 0.5, 0.4, and 0.75 respectively. A random driver signs up for coverage on their 20th birthday. Ignoring any other factors, what are the chances that they will get into their first accident in their 60s?

108Unlike the arithmetic mean, the mode of a set of data is not unique (can have more than one value). What is the mode for the following data points? 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

116The probability of picking a red marble from a bag of red, blue, and yellow marbles is 7/15. The probability of picking a yellow marble is 20%. There are 15 blue marbles in the bag. How many total marbles are there in the bag?

117In playing a FunTrivia game, you discover that you make rapid progress through the lower rankings but once you get higher, you can only gain a few ranks per day, if at all. Why is that?

118If you randomly guessed the first two multiple choice questions in a quiz that had 4 choices for each question, what is the chance that you got them both wrong?