Consider two binomial distributions, with n trials each. The first distribution has a higher probability of success on each trial than the second. How does the expected value of the first distribution compare to that of the second?A. The expected value is higher for the first distribution. B. The expected value is lower for the first distribution. C. This is not enough information. D. The expected values are the same. In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. Consider the data set 4, 5, 15, 13, 9.(a) Use the defining formula, the computation formula, or a calculator to compute s. (Round your answer to one decimal place.)s = (b) Multiply each data value by 6 to obtain the new data set 24, 30, 90, 78, 54. Compute s. (Round your answer to one decimal place.)s = (c) Compare the results of parts (a) and (b). In general, how does the standard deviation change if each data value is multiplied by a constant c?A. Multiplying each data value by the same constant c results in the standard deviation increasing by c units. B. Multiplying each data value by the same constant c results in the standard deviation being |c| times as large. C. Multiplying each data value by the same constant c results in the standard deviation being |c| times smaller. D. Multiplying each data value by the same constant c results in the standard deviation remaining the same.