问题 解答题

生产工艺工程中产品的尺寸误差X(mm)~N(0,1.52),如果产品的尺寸与规定的尺寸偏差的绝对值不超过1.5mm为合格品,求(1)X的密度函数;(2)生产的5件产品的合格率不小于80%的概率.

答案

见解析

解:(1)由题意知X~N(0,1.52),即

所以密度函数

(2)设Y表示5件产品中的合格品数,每件产品是合格品的概率为

P(|X|≤1.5)=P(-1.5<X≤1.5)=0.6826

而Y~B(5,0.6826),合格率不小于80%,即Y≥5×0.8=4

所以P(Y≥4)=P(Y=4)+P(Y=5)==0.4927

完形填空
By my third day in the hospital, I realized Tom didn’t visit. I couldn’t understand  36 my best friend wouldn’t come to see me. Struggling against the   37 , I phoned his __38 . His mother answered, and when I asked for Tom, she got   39  . “He’s not here right now,” she said. I thought it was  40 that she didn’t tell me where he was or  41  to have him call me. But I was so weak, I just let it  42 . I found out later that Tom’s mother called my parents right after we rang   43 . My phone call really made her   44 , and she   45 they talk to me. Later that night, my mom   46 . Did I remember drinking? Did I remember in a car?I had   47  what she was talking about, so she finally told me the news: I’d hit a tree. Tom, in the   48  seat, was thrown from the car and killed instantly. The only reason I’d lived was because of my   49 .
My first   50  was of shock. I’d been drink-driving? Hit a tree? Killed Tom? I felt like the   51  person in the world. Even after I was able to   52 several weeks later, I didn’t want to eat, I didn’t want to talk. I just   53  at the wall in my  54  and cried. The only person I wanted to see was Tom. I didn’t feel like   55  with any of my old friends.
小题1:
A.ifB.whetherC.howD.why
小题2:
A.painB.doctorC.nurseD.wound
小题3:
A.companyB.officeC.schoolD.house
小题4:
A.sadB.quietC.calmD.excited
小题5:
A.unfairB.wrongC.strangeD.unnecessary
小题6:
A.offerB.allowC.permitD.refuse
小题7:
A.downB.aloneC.beD.go
小题8:
A.offB.upC.outD.back
小题9:
A.disappointedB.shockedC.anxiousD.excited
小题10:
A.hopedB.wishedC.insistedD.ordered
小题11:
A.went byB.came byC.called backD.passed by
小题12:
A.understoodB.believedC.no ideaD.wondered
小题13:
A.passengerB.driveC.frontD.spare
小题14:
A.doctorB.friendC.luckD.seat-belt
小题15:
A.viewB.reactionC.actionD.idea
小题16:
A.luckiestB.happiestC.worstD.most lonely
小题17:
A.stand up B.get on C.go homeD.eat out
小题18:
A.lookedB.staredC.glancedD.glared
小题19:
A.sickroomB.officeC.dormitoryD.bedroom
小题20:
A.drying outB.taking outC.setting outD.hanging out
单项选择题