(a) Find qM and for this data set. (b) Explain, in your own words, why the mean
ID: 3220737 • Letter: #
Question
(a) Find qM and for this data set. (b) Explain, in your own words, why the mean and the median are so different in this example. 3. Consider the experiment in which a person rolls two fair dice. (a) How many outcomes are in the sample space S of this experiment? (b) Find the probability P(E) of the following event: E (The English words for the numbers rolled start with the same letter.) (c) Let R e the following even R {The numbers rolled are distinct, and the Russian words for these numbers start with the same letter.) Knowing that its probability is P(R) 0 (you can take my word for it), what does this tell you about the names of some numerals in Russian Hint: use logical reasoning; you do NOT need to know any Russian in order to answer this question, and you should NOT look them up in a dictionary lExplanation / Answer
a) There are total 6*6 = 36 outcomes of sample space
b) one ,two,three ,four ,five,six
favourable event =
(1,1),(2,2),(3,3),(4,4,),(5,5),(6,6),(2,3),(3,2),(4,5),(5,4) =10
hence probability = 10/36 = 5/18
c) P(R) = 0
this means that russian words for numbers 0ne to six are all different
d) required probability= 6/36 =1/6
when both dice have same numbers
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