Question 3 ( \( \mathbf{3 0} \) marks) Correct your answer to 4 decimal places if necessary for this question. KAT Music company designed new types of microphones last summer and a development team has been working on the sound recognition of these newly designed microphones. (a) Nick, the leader of the development team, requested early production to refine the microphones before their public sale. According to the company's production plant, there were \( (85+0.1 \times r) \% \) of the microphones achieve a consistency rate above \( 97 \% \) in sound recognition after refinement. The development team then randomly selected 25 microphones for further investigation of the consistency. (i) Find the probability that at most 23 microphones achieve a consistency rate above \( 97 \% \) in sound recognition. (ii) Calculate the expected number of microphones that achieve a consistency rate above \( 97 \% \) in sound recognition and determine the variance.