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Q3 [3 points] 1. Calculate 3= 1 4-143-1 y+z 3 points] 2. Use R to find all the prime numbers between 20 and 50. (Prime numbers: can be divided evenly only by 1 or itself.) [4 points] 3. Create a function that returns the elements on odd positions in a vector 4 points] 3. Create a Input: a vector Output: a vector of the elements only on odd positions Use the vector in your first question as an example and show the results. (5 points] 4. Create a function to calculate the confidence intervals. This function should be able to handle small data sets (n = 30 using normal distribution). Input: a data set; alpha (confidence level) Output: confidence interval (lower boundary and upper boundary) Given the following sample data of battery life: 491, 485, 503, 492, 482, 487, 490, 485, 495, 502 calculate the 95% confidence interval of the mean battery life