Problem 1 Sports betting has become so rampant that bets are even placed on how long the singing of the National Anthem will take at the beginning of a sports contest. Suppose that these times follow a normal distribution with mean 95 seconds and standard deviation 11 seconds. a) Determine the probability that a randomly selected singing of the national anthem would take more than 2 minutes (120 seconds). b) Determine the probability that a randomly selected singing of the national anthem would take less than 1 minute (60 seconds). Problem 2 Identify each of the following as a parameter or a statistic, and also indicate the symbol used to denote the parameter or statistic. In some cases, you may have to form (and specify) your own conclusion as to what the population of interest is. a) The proportion of students in your class who prefer to hear good news before bad. b) The proportion of all students at your school who prefer to hear good news before bad. (3) The mean number of states visited by the students in your class. d) The mean number of states visited by all students in your school. 9) The standard deviation of the lengths of words in the Gettysburg Address. f) The standard deviation of the lengths of words in a random sample that you selected from the Gettysburg Address. g) The proportion of American voters who voted for the Republican candidate in the most recent presidential election. h) The proportion of people at the next party you attend who voted in the most recent presidential election. i) The proportion of American voters interviewed by CNN who voted for the Democratic candidate in the most recent presidential election. j) The mean amount spent on Christmas presents by American adults last year. k) The proportion of American adults who told a Gallup pollster that they prefer to abolish rather than retain the penny. l) The mean number of cats in the households of your school's faculty members. m) The mean number of cats among all American households. 11) The proportion of heads in 100 coin flips. rd Tlnn mnnn tsrndr'll'lf nli' "m Lnrir- n'F nnfnfn akinn