6 Suppose that in soccer, in games where the teams are not evenly matched, the b

Question

6 Suppose that in soccer, in games where the teams are not evenly matched, the beter team has a 72 evenly matched, the better team has a 72% chance are not of scoring the first goal in overtime of any better team in all of them, what is the probabslity that this team will score the lirst overtime goal in at least tive out of these six games? Answer the question using simulation (a) Describe the design of a simulation using the table of random digits below to esimate the desired I in overtime of any game. If a team has six overtime games, and is considered the probability (b) Using the random number table below, run your simulation 12 times. Make your procedure clear by marking on or above the table so that someone can follow what you did. Make a table of your results From your simulation, determine the estimated probability of scoring the first overime goal in at leas five of the six games 84177 06757 17613 15582 51506 81435 41050 92031 06449 05059 59884 3118o 53115 84469 94868 57967 05811 84514 75011 13006 63395 55041 15866 06589 13119 71020 85940 91932 09488 74987 54355 52704 90359 02649 47496 71567 94268 08844 26294 64759 08989 57024 97284 00637 89283 03514 59195 07635 03309 72605 29357 23737 67881 03668 33876 35841 52869 23114 15864 38942

Explanation / Answer

In the last question,

Distribution A represents negatively skewed distribution (left-skewed distribution) because a left-skewed distribution has a long left tail. Left-skewed distributions are also called negatively-skewed distributions. That’s because there is a long tail in the negative direction on the number line. The mean is also to the left of the peak.

Distribution B represents,

It is perfectly symmetrical also called Normal distribution. And the Mean is exactly at the peak.

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