Answer questions Minimum 100 words each and reference (questions #1-3) KEEP questions WITH ANSWER

1) If we had a multiple number of coin tosses and considered this an experiment, what distribution would this experiment follow and why?

2) Virtually all experiments and studies deal with mutually exclusive outcomes. Why is this important?

3) Random variables are part of probability and statistics! Mutual exclusiveness applies to the definition of this. How?

A minimum of 75 words each question and References (IF NEEDED)(Response #1 – 6) KEEP RESPONSE WITH ANSWER

Make sure the Responses includes the Following: (a) an understanding of the weekly content as supported by a scholarly resource, (b) the provision of a probing question. (c) stay on topic

1) I think my friend would have the wrong idea in my opinion. A coin has two sides and if it is a fair coin, then when it is tossed it will have a 50-50 chance of either being heads or tails. There is nothing that would make it tails more than heads. The odds or probability of it landing on tails over heads is 50-50. There is no way of specifically knowing how many times it would be heads or tails an infinite number of times. It will not always land on heads half of the time nor will it always land on tails half of the time, but there is always the probability that it could.

2) No, she is not correct in her theory on the probability of getting heads in a coin toss. The only two outcomes possible are heads or tails. According to the textbook, “the formula for probability then is the frequency of times an outcome occurs, f(x), divided by the sample space or the total number of possible outcomes” (Privitera, 2018). The frequency (f(x)) divided by the sample size is ½. In other words, there is a probability of getting heads one out of two times. The coins could be flipped multiple times and the chances are still 50/50 of getting heads or tails.

3) Considering that tossing a coin can be considered a random event, fixed event, or possibly have a sample space the outcome may vary. “Probability is the frequency of times the outcome occurs divided by the total number of possible outcomes.” (Privitera, G. J., 2018, p.139) If a friend and I had a single coin toss, I would have to disagree on the likeliness of landing on heads having the advantage. The coin toss is a fixed event and there are only 2 options in a single toss. Heads or tails both have a 50 % chance of being the outcome.

Tossing the coin an infinite number of times would be consist of different variations on probability. The outcome could vary amongst every individual. For instance, my father, my son, and I, all just tossed a quarter 10 times each. I landed heads twice, my father landed heads 6 times and my son landed heads 4 times. Therefore, no outcome was the same. The probability of landing heads in 30 tosses was 12, there for two times out of every 6 tosses. However that is if we added up all 3 sets of 10 tosses otherwise with my tosses the probability of landing heads would be would be 20 Percent, my father’s would be 60 percent and my son’s would be 40 percent.

4) The probability of two things being mutally exclusive would be non-existent because two things can not happen at the same time. For instance when driving down the road you have two probabilities or either driving left or right. These two probabilities are considered mutually excesive because you can turn right and left at the same time. It physical impossiable. Not to mention dangers!

5) Mutually exclusive probabilities can not occur at the same time. Taking from the text one can not have the outcome of both heads and tails. They are mutually exclusive and one or the other can only occur (Privitera., G.J., 2018). Another example would be the probability of a sperm carrying the x or y chromosome. Only one sperm can make it to the egg. The event of x and y penetrating the egg are mutually exclusive because they can not occur at the same time.

6) The ways I understand it is, In probability two events are said to be mutually exclusive if the events do not share to same outcomes. If considered as sets, it is two events are mutually exclusive when their intersection is the empty set. Such as: Events A and B are mutually exclusive by the “formula A ∩ B = Ø.” With many concepts from probability, some examples will help with understanding the definition. The coin toss is a good example. There is no way you can result in heads ans tails at the same time.