题干

为了研究家用轿车在高速公路上的车速情况,交通部门随机对50名家用轿车驾驶员进行调查,得到其在高速公路上行驶时的平均车速情况为:在30名男性驾驶员中,平均车速超过100km/h的有20人,不超过100km/h的有10人.在20名女性驾驶员中,平均车速超过100km/h的有5人,不超过100km/h的有15人.
(Ⅰ)完成下面的列联表,并判断是否有99.5%的把握认为平均车速超过100km/h的人与性别有关;

平均车速超过100km/h人数

平均车速不超过100km/h人数

合计

男性驾驶员人数

女性驾驶员人数

合计

(Ⅱ)以上述数据样本来估计总体,现从高速公路上行驶的大量家用轿车中随机抽取3辆,记这3辆车中驾驶员为女性且车速不超过100km/h的车辆数为ζ,若每次抽取的结果是相互独立的,求ζ的分布列和数学期望.
参考公式: k2=()
n
a
d
b
c
2
(
a
+
b
)
(
c
+
d
)
(
a
+
c
)
(
b
+
d
)
,其中n=a+b+c+d.
参考数据:

P(K2≥k0

0.150

0.100

0.05

0.025

0.010

0.005

0.001

k0

2.072

2.706

3.841

5.024

6.635

7.879

10.828

上一题 下一题 0.0难度 选择题 更新时间:2019-02-28 10:10:47

答案(点此获取答案解析)

解:(Ⅰ)根据题意,填写列联表如下;

平均车数超过

人数

同类题2

阅读理解

    Far from the land of Antarctica (南极洲), a huge shelf of ice meets the ocean. At the underside of the shelf there lives a small fish, the Antarctic cod.

    For forty years scientists have been curious about that fish. How does it live where most fish would freeze to death? It must have some secret. The Antarctic is not a comfortable place to work and research has been slow. Now it seems we have an answer.

    Research was begun by cutting holes in the ice and catching the fish. Scientists studied the fish's blood and measured its freezing point.

The fish were taken from seawater that had a temperature of -1.88°C and many tiny pieces of ice floating in it. The blood of the fish did not begin to freeze until its temperature was lowered to

    -2.05°C. That small difference is enough for the fish to live at the freezing temperature of the ice-salt mixture.

    The scientists' next research job was clear: Find out what in the fish's blood kept it from freezing. Their search led to some really strange thing made up of a protein (蛋白质) never before seen in the blood of a fish. When it was removed, the blood froze at seawater temperature. When it was put back, the blood again had its antifreeze quality and a lowered freezing point.

    Study showed that it is an unusual kind of protein. It has many small sugar molecules(分子)held in special positions within each big protein molecule. Because of its sugar content, it is called a glycoprotein. So it has come to be called the antifreeze fish glycoprotein, or AFGP.