Homework2 [Compatibility Modo] Q Search in Document Home Insert Design Layout Re
ID: 3354625 • Letter: H
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Homework2 [Compatibility Modo] Q Search in Document Home Insert Design Layout References Mailings Review View Times New Ro."- 12 , A A A . AaBbCcD( 10 Paste Styles Pane Lmphasi Subtitle Title 1. The probability of a man hitting the target at a shooting range is 1/4. If he shoots 30 times, what is the probability that he hits the target at least 10 times? (Copy your R code and the result) 2. Suppose X follows a Chi-square distribution with degree of freedom 12. Find the cutoff point a, such that, P(XExplanation / Answer
> ## 1
> p=1/4
> n=30
> x=10:30
> ### here we use binomial distribution
> p=sum(dbinom(x,n,p))
> p
[1] 0.1965934
> ## p is the probability of hitting a target at least 10 times
>
> ## 2
> ## x has chi-square distribution
> n=12
> a=qchisq(0.85,n)
> a
[1] 16.98931
> ### a is the required cutoff point i.e.p(x<a)=0.85
>
> ## 3
> ## scores has normal distribution with
> mean=500
> sd=100
> c=qnorm(0.70,mean,sd)
> c
[1] 552.4401
> ## c gives the required mark to be in first 30% of students
> ## tom scores 585 is more than 552
> ##tom wiil be admitted in the university.
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