Problem Recognition Exercises CH 5-6 Harry and Ron are training for their next Q

Question

Problem Recognition Exercises CH 5-6 Harry and Ron are training for their next Quidditch match against Slytherin. Harry has decided that he will put Ron to the test by making 10 attempts to get the quaffle past him. He knows from experience that he can score against Ron 85% of the time. 1. Is this a binomial experiment? If so, explain why and list the values of the parameters for the distribution. If not, explain which conditions are not satisfied 2. What are the possible values of the random variable X Number of Goals. 3. Fill in the table representing the 4. Construct a graph of the probability distribution. Successful Probability 5. What is the shape of your distribution? 6. What is the probability that Harry will score 5 goals?

Explanation / Answer

1. Harry has given Ron a test by giving him 10 attempts to get the quaffle past him . This is indeed an example of Binomial distribution , where n=10 and p= probability of making a score against Ron is 85% which is 0.85 . Hence the distribution follows Binomial(10 , 0.85) .

2. X = number of goals can be from 0 to 10.

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