A GMAC MBA new-matriculants survey provided the following data for 2018 students. Excel File: data04-53.xlsx Applied to More Than One School Yes No 23 and under 207 201 24-26 299 379 Age Group 27-30 185 268 31-35 66 193 36 and over 51 169 a. Given that a person applied to more than one school, what is the probability that the person is 24 - 26 years old (to 2 decimals)? b. Given that a person is in the 36 and over age group, what is the probability that the person applied to more than one school (to 4 decimals)? c. What is the probability that a person is 24 - 26 years old or applied to more than one school (to 4 decimals)? d. Suppose a person is known to have applied to only one school. What is the probability that the person is 31 or more years old (to 4 decimals)? e. Is the number of schools applied to independent of age? Explain. Select your answer -

2. The sample mean is both an unbiased and consistent estimator of the population mean.In plain language, describe the meaning of these terms.3. Standard deviationa. Explicitly write out the formula for a sample standard deviation (you can useeither Word’s equation editor or hand write it and paste a screenshot of yourhandwritten formula).b. Using the following table, explicitly calculate the deviation from the mean for thetwo blank boxes where “DIFF from MEAN” = Cancer Death - MEAN.

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Attendance at​ Orlando's newest Disneylike​ attraction, Lego​ World, has been as​ follows:                                                                                                           Quarter Guests ​(in thousands) Quarter Guests ​(in thousands) Winter Year 1 63 Summer Year 2 120 Spring Year 1 99 Fall Year 2 54 Summer Year 1 149 Winter Year 3 94 Fall Year 1 75 Spring Year 3 151 Winter Year 2 64 Summer Year 3 210 Spring Year 2 83 Fall Year 3 99 Part 2 Based on the given​ attendance, the seasonal indices for each of the seasons are ​(round your responses to three decimal ​places)​:   Season Index Winter enter your response here