wgu stats module 7- probability exam questions and answers

wgu stats module 7- probability exam questions and answers Examples of Quantitative and Qualitative Probability - Answer- Qualitative Description= impossible Quantitative Probability = 0% probability Qualitative Description= Unlikely Quantitative Probability = 1% to 30% probability Qualitative Description= As likely as unlikely Quantitative Probability = 40-60% Qualitative Description= likely Quantitative Probability = 70-99% Qualitative Description= certain Quantitative Probability = 100% experiment - Answer- the procedure or situation in which the probability is being calculated example- rolling a dice, raining outcomes - Answer- the possibilities of what can occur during the experiment, the results rolling a dice- 1,2,3,4,5,6 are outcomes event - Answer- comprised of 1 or more outcomes die landing on an uneven number is an event probability of an event - Answer- P(E)= probability of a certain event occuring if R= RAIN and the weatherman says there is a 40% chance of rain, then P(R)= .40 an experiment is fair if - Answer- each outcome is equally likely An experiment is the procedure to test the occurrence of an event. True or False? - Answer- False Correct. This is a false statement. An experiment is the procedure for which the probability of an event is calculated. set - Answer- simply a collection of unique elements. For example, a set of tree species is: oak, juniper, elm, maple. subsets - Answer- Set A is a subset* of set B , if every element in A is contained within B . For example: A={1,2,3} B={1,2,3,4,5} A is a subset of B , because every element in set A is contained within set B . empty set - Answer- has no elements {} For example, let's say you wanted to list the days of the week that do not end in a y. There are none! Therefore, this is the empty set. In set notation, the empty set is written as a pair of brackets with nothing between them: union - Answer- The union* of two sets is a collection of all of the elements listed in the sets. For example: C={2,4,6} D={1,3,5} The union of C and D is {1,2,3,4,5,6} , as those are all of the elements that appear in the sets. intersection - Answer- The intersection* of two sets is a collection of the elements listed in both of the sets. For example: E={0,10,100} F={−2,−1,0,1,2} The intersection of E and F is {0} , as 0 is the only element that appears in both sets. theoretically probability - Answer- is calculated as the number of ways one particular event can occur in a random experiment, divided by the total number of possible outcomes: if bob has 3 blue suits, 1 red and 1 orange what is the probability he will randomly pick a blue suit? 3/5 Empirical (Observational) Probability - Answer- gathers data by performing multiple experiments, or trials, and recording the results each time. For example, to have a better idea of the probability that a team will win a particular game, we naturally examine what other games it has won and against which teams. relative frequency - Answer- how often the event occurs in the series of trials (or experiments) relative to the number of trials. a way to approximate a percentage by dividing the number of times an event occured in an experiment by the total number of trials this is influenced by random experiments random experiments - Answer- are trials in which th