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1. Calculate the probability of rolling a fair die and getting two 6's in a row by:
a. Using the MN rule (what is the MN rule?)
b. Using the binomial distribution (hint: n=2, p=1/6)
2. It is estimated that 30% of ER visits result in a patient being seen in fewer than 15 minutes. In a random selection of 10 patients who visited the ER, calculate the following probabilities, from a binomial distribution with parameters n=10 and p=0.3. Show all work.
a. Probability at least 1 patient was seen in fewer than 15 mins, P(X≥1)
b. Use the cumulative distribution to calculate the probability that more than 1 but less than 5 patients were seen in fewer than 15 mins, P(1<X<5)
please answer and explain how you got your answer.
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