问题 解答题
某校举办2010年上海世博会知识竞赛,从参赛的高一、高二学生中各抽100人的成绩作为样本,其结果如下表:
高一高二合计
合格人数80m140
不合格人数n4060
合计100100200
参考数据:
P(K2≥k00.0250.0100.0050.001
k05.0246.6357.87910.828
(Ⅰ)求m,n的值;
(Ⅱ)你有多大的把握认为“高一、高二两个年级这次世博会知识竞赛的成绩有差异”.
答案

(Ⅰ)由图表可得,m=60,n=20;

(Ⅱ)设a=80,b=60,c=20,d=40.

则a+b=140,c+d=60,a+c=100,b+d=100.

ad=3200,bc=1200.

所以k=

n(ad-bc)2
(a+b)(c+d)(a+c)(b+d)

=

200×(3200-1200)2
140×60×100×100
≈9.5.

K2的观测值k=9.5>7.879,所以有99.5%的把握认为“高一、高二两个年级这次世博会知识竞赛的成绩有差异”.

阅读理解
阅读理解。
                                  The Bilbies
               An Exciting New Musical Comedy for children.
                              ***Starring***
                          Wilby and Silby bilby
                        Gaza Galah Bettina Bunny
                       Family Fun at good prices!
                  Child: $10 Adults: $14 Family: $38 (4 people)
                 Special Discounts for Group of 10 or more
                           Opening January 1996
                             Pilgrim Theatre City
                262 Pitt St City (1 minute walk from Town Hall Station)
             2nd to 21st January Tuesday to Sunday 10:00 a.m. & 2:30 p.m.
                   Parramatta Town Hall
                One Day only. Tuesday, 23rd January
                10: 00 a.m. 11: 00 a.m. 1:00 p.m. & 2:30 p.m.
1. If a group of twelve children went to see The Bilbies, they would ________.
A. have special seats
B. spend less money
C. be asked to buy family tickets
D. have to buy the tickets on Tuesday
2. The poster tells us at the Pilgrim Theatre there were at least ________.
A. 2 performances
B. 19 performances
C. 21 performances
D. 34 performances
3.  According to the poster, which of the following is true?
A. At Parramatta Town Hall there were 2 performances.
B. Parramatta Town Hall is one minute walk from Town Hall Station.
C. The audience most likely to enjoy the show, The Bilbies, would be children.
D. A family of five would have to pay 38 dollars to see The Bilbies.
单项选择题