Question 1 (Essay Worth 10 points) (04.02 MC)

To increase sales, a cell phone store began giving a free month of service on some cell plan purchases. Customers were unaware whether they would receive

the free month until after purchase. The store manager claimed that one in eight customers received the free month Nine customers each buy a cell phone plan

Let X = the number of customers that receive a free month of cell phone service.

Part A: Is X a binomial random variable? Explain. (3 points)

Part B: What is the mean and standard deviation of X? Provide an interpretation for each value in context. (4 points)

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Part C: Three of the nine customers receive a free month of service. Is the store's claim accurate? Compute P(X > 3) and use the result to

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Askateboard ramp is in the shape of a right triangle what is the height of the ramp

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )

On #16 : explain how factoring a trinomial, ax^2+ bx+ c, when a does not equal 1 different from factoring a trinomial when a = 1.