Question: Please answer with FULL SOLUTIONS and explanations. I will give full credits if I'm satisfied with your answers. Thanks. 191 What is the relationship between
Please answer with FULL SOLUTIONS and explanations. I will give full credits if I'm satisfied with your answers.
Thanks.
191What is the relationship between the mean, the mode and the median for a standard normal distribution?
192If someone answers these ten multiple choice questions, all with four options, totally at random, what is the chance that he has all answers wrong?
193Suppose E and F are events in a sample space S. Suppose further that E has probability .8 and F has probability .9. What is the smallest possible value for the probability of the intersection of E and F?
194Suppose two cards are drawn from a standard 52 card deck without replacement (which means when we draw a card, we don't put it back). Assuming all cards are equally likely to be selected, what is the probability that the second card is an ace given that the first card is a club?
195 Two six-sided dice are rolled. But this time, the dice aren't fair: For each die, a 1 is twice as likely to be rolled as a 2, a 2 is twice as likely to be rolled as a 3, ..., and a 5 is twice as likely to be rolled as a 6 (in other words, each number is twice as likely as the number that follows it). So what is the probability of rolling a sum of 7?
196 You randomly answer 4 multiple choice problems with 4 choices each. What is the probability that you get at least two correct?
197 You randomly roll two dice. What is the probability that the product of the two numbers rolled will equal a square number?
198 After washing up, Shelly is getting ready for bed, when the weatherman reports that there is a 40% chance of rain tomorrow. As she lies down, she tries to remember which of her friends is driving her carpool tomorrow--Dave, Ben, or Sheila. "Ben's late half the time," thinks Shelly, "and I don't want to be waiting around in the rain while he takes his time." She considers calling Sheila, but decides just to take her chances instead, and rolls over and goes to sleep. What is the probability that she will get caught in the rain as she feared?
199 A couple has two children. At least one of them is male. What is the probability that one child is female, assuming the probability of having either sex is equal?
200 Hypothetically, this game has 10,000 players, so the probability of being the sole holder of the highest score is 1/10,000. A friend tells you that aspiring to that score is like trying to win the lottery. What is (primarily) wrong with that analogy?
201What is the probability of answering 10/10 on this quiz if you answered each question randomly?
202What is the symbol used to represent summation notation called?
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