A company designed an interview scheme for recruiting new employees: the candidates randomly selected questions from the alternative questions at one time and completed them independently according to

A company designed an interview scheme for recruiting new employees: the candidates randomly selected questions from the alternative questions at one time and completed them independently according to the requirements of the questions. (1) See the analysis for details; (2) A is likely to pass the interview.

Question analysis: (1) If A correctly completed the interview, what was the value? According to the classical probability formula, the distribution table and expected value can be obtained; Suppose that the number of questions that B correctly completed the interview is, then the values are respectively? The number of correctly completed interview questions belongs to binomial distribution, which can be obtained according to the probability formula of binomial distribution, thus obtaining the distribution list and expected value. (2) Compare the expected value first. A large expected value means that it is likely to pass. If the expected values are equal, their respective variances should be calculated according to the expected values. Small variance means relative stability, so it is possible to pass if the variance is small.

Solution: (1) Assuming that the number of questions that A correctly completed the interview is, the value is. ? 1 point

;

;

; 3 points

The distribution list of candidate A who completed the question correctly is

. ? 4 points

If the number of questions that B correctly completed the interview is 0, the values are 0.5 points respectively.

;

,

,

. ? 7 points

The distribution list for correctly completing candidate B's questions is:

.8 points

② Because, 10 points

. 12 point

(or).

So ...

(or: because,

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