Anasia is a basketball player who regularly shoots sets of 222 free-throws. Suppose that each shot has probability 0.70.70, point, 7 of being made, and the results of the shots are independent. The table below displays the probability distribution of XXX, the number of shots that Anasia makes in a set of 222 attempts.
X= \# \text{ of makes}X=# of makesX, equals, \#, start text, space, o, f, space, m, a, k, e, s, end text 000 111 222
P(X)P(X)P, left parenthesis, X, right parenthesis 0.090.090, point, 09 0.420.420, point, 42 0.490.490, point, 49
Given that \mu_X=1.4μ
X

=1.4mu, start subscript, X, end subscript, equals, 1, point, 4 makes, find the standard deviation of the number of shots that Anasia makes.
Round your answer to two decimal places.