The distribution list of (Ⅱ) is

X

1

2

P

Mathematical expectation;

(iii) The probability that A is thrown farther than B. 。

Test analysis: (1) According to the known conditions, find the frequency of the sixth group and then the total number of people in this test. The scores of the fourth, fifth and sixth groups are all qualified, so as to get the qualified number of people in this shot put test; (2) Write down the possible values: 0, 1, 2, calculate the failure probability of this test:, ∴ ~, get the distribution list by binomial distribution, and then get the mathematical expectation;

(3) Assuming that the scores of A and B are meters respectively, list the areas satisfied by the basic event: the area satisfied by the event "The probability that A throws farther than B" is, draw a diagram, and use the geometric probability formula to find the probability that A throws farther than B. 。

Analysis of test questions: (1) The frequency of the sixth group is1-(0.04+0.10+0.14+0.28+0.30) = 0.14,

The total number of people taking the exam is (people). (2 points)

∴ The scores of groups 4, 5 and 6 are all qualified, and the number of students is (0.28+0.30+0. 14) × 50 = 36 (people) (4 points).

The possible value of (II) is 0, 1, 2, and the probability of failure of this test is ∴ ~. (5 points. (7 points).

The distribution list requires that

X

1

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