An experiment consists of recording, in order of their births, the sex composition of a four-child family in which the children were born at different times. (Let b represent the birth of a boy and g represent the birth of a girl. Enter your answers using letter combinations separated by commas. Example: bgbg, gggg, ...) (a) Describe an appropriate sample space S for this experiment. S =               (b) Describe the event E that there are three boys and a girl in the family. E =               (c) Describe the event F that the youngest child is a girl. F =               (d) Describe the event G that the oldest and the youngest children are both girls. G =

In an experiment, a coin is tossed until the head is observed for the second time. What is the sample space? Can you use set-theoretic expressions to describe the sample space?

A die is rolled 120 times to see if it is fair. The table below shows the frequencies for each of the six possible outcomes. Use a level of significance of a = 0.01. a. Complete the rest of the table by filling in the expected frequencies (enter your answers in fraction form): Frequency of Dice Values Outcome Frequency Expected Frequency 1 21 3 3 24 4 21 21 30 b. What are the null and alternative hypotheses? Ho: Select an answer 2.

A group of students at a local university were asked about their status (undergraduate, graduate, or non-degree seeking) and how they get to campus (walk/bike or car/bus/etc.). The results are summarized in the table below. How do you get to Campus? Walk/Bike Car/Bus/etc. Total Undergraduate 80 20 100 Graduate 40 10 50 Non-degree Seeking 10 40 50 Total 130 70 200 Suppose we choose a person at random from this sample. Which of the following statements is true? (A) If the person uses a car/bus/etc. to get to campus, then he or she is more likely to be a non- degree seeking student than a degree seeking student (undergraduate or graduate). (B) If the person is an undergraduate, then he or she is more likely to use a car/bus/etc. to get to campus than to walk/bike to campus. (C) The person is more likely be a graduate student if he or she uses a car/bus/etc. to get to campus than if he or she walks/bikes to campus. (D) The person is more likely to use a car/bus/etc. to get to campus than…