a There is a 50% chance of thunderstorms on Monday, a 50% chance on Tuesday and...

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  1. a There is a 50% chance of thunderstorms on Monday, a 50% chanceon Tuesday and a 50% chance on Wednesday. Assume these areindependent events. What is the probability that there will bethunderstorms on Monday, Tuesday, and Wednesday? Show yourwork.   b) A student says that if P(A) = P(A|B), then Aand B must be independent events. Is the student correct?Explain.  Give a real life example that can berepresented by P(A) = P(A|B). c) Describe the relationship betweena change in the sample size and the chance in the margin oferror.d) Describe a situation with a 20% probability of success ineach of 4 trials. Graph the binomial distribution. e) On a mathtest the mean score is 82 with a standard deviation of 3. A passingscore is 70 or greater. Choose a passing score that you wouldconsider to be the outlier. Justify your choice.

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