Another type of random sample is called a bootstrap sample. (it comes from the expression “pulling yourself up by your own bootstraps.”) given a data set with n observations, a bootstrap sample, also of size n, is when you randomly sample from the data set with replacement. to do so, you keep choosing a random integer from 1 to n and include that item in the sample. the “with replacement” part means that you can sample the same item more than once. for example, if n = 4, the sampled items might be 1, 2, 2, and 4. using the data in the file accounts receivable. xlsx, illustrate a simple method for choosing bootstrap samples with the randbetween and vlookup functions.

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You need to design a circuit that implements the functions in the following table: s0 s1 function0 0 a + 10 1 a – b1 0 a + b1 1 a – 1s0 and s1 are 1-bit control inputs to select the function of the circuit. inputs a and b are 4-bitnumbers in 2s complement form. the output is also a 4-bit number in 2s complement form.you are allowed to use only one ttl 7483 4-bit adder to implement all the functions. but anynumber of other components (except the adder) can be used.hint: design a combinational logic circuit to modify the input b and the “carry input” of theadder depending on the control inputs s0 and s1.important: lab grade will depend on the working of the circuit & will be checked of by your labinstructor.1. is the output valid for the following input combinations: a. s0 = 0, s1 = 0, a = 7, b = 3? b. s0 = 0, s1 = 1, a = 7, b = 3? c. s0 = 1, s1 = 0, a = -4, b = -5? d. s0 = 1, s1 = 1, a = -8, b = 6? 2. what is the range of inputs (for both a and b) that will produce the valid output for all the functions?