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Two examples of a Bernolli distribution solutions
1. Flip a coin 10 times, count the number of heads. Here n = 10. Each flip is a trial.
It is reasonable to assume the trials are independent. Each trial has two outcomes heads (success) and tails (failure).
The probability of success on each trial is p = 1/2 and the probability of failure is q = 1 − 1/2 = 1/2. We are interested in the variable X which counts the number of successes in 10 trials. This is an example of a Bernoulli Experiment with 10 trials
2. A basketball player takes 2 independent free throws with a probability of 0.6 of getting a basket on each shot. Let X = the number of baskets he gets.
Find the probability that he misses all the shots;
=The probability of failure=1-0.6=0.4
Find the probability that he gets a basket on each shot;
Thus the probability of getting a basket on each shot is 0.36
Find the probability that he gets atleast one shot
Method i
Method ii
To get the probability that he gets atleast one shot, we can subtract the probabbility of not getting any single shot from 1.
That is;
=0.84
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