QUESTION 3 It has been established that soccer ace Fernandes chances of scoring a penalty is 70 percent all the time. However, he is a streak shooter, and if he scores on one shot, his probability of scoring it on the penalty shot immediately following is 0.85. But it has also been pointed out that another soccer star Zlatan chances of scoring a goal in any game is 65 percent all the time. However, since he is a streak striker, and if he scores in one game, his probability of scoring in the game immediately following is 0.75. 3.1.Write this in the probability notation. 3.2.Calculate the probability that Fernandes will score the penalties on two consecutive shots. 3.3.Calculate the probability that Fernandes scores a penalty because Zlatan has scored twice.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
QUESTION 3
It has been established that soccer ace Fernandes chances of scoring a penalty is 70 percent all the
time. However, he is a streak shooter, and if he scores on one shot, his
penalty shot immediately following is 0.85. But it has also been pointed out that another soccer star
Zlatan chances of scoring a goal in any game is 65 percent all the time. However, since he is a streak
striker, and if he scores in one game, his probability of scoring in the game immediately following is
0.75.
3.1.Write this in the probability notation.
3.2.Calculate the probability that Fernandes will score the penalties on two consecutive shots.
3.3.Calculate the probability that Fernandes scores a penalty because Zlatan has scored twice.
3.4.Are probabilities that Zlatan scores in second game and that he scores in the third game
independent in this question? Explain.
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