I don\'t know if anyone can help me with this. If someone can, it would be great

Question

I don't know if anyone can help me with this. If someone can, it would be greatly appreicated. This is a Statistics course and the following problems are already solved, but they must be used by Statistical Software R. In other words, these problems must be shown how to be solved using R&R code. These problems come from the Essentials of Mathematical Statistics (0th edition) textbook. I will list the nine problems that need to be shown in R&R but it is difficult to copy and paste them into here. If anyone can help, thank you.

3.3 #3,11,13,15

3.4 #1,3,7,9,11

Explanation / Answer

3.3 )

a) mean = (a+b)/2 = 20

b)var = (b-a)^2 /12 = 100/12 = 8.3333

c)

P(18 <X< 23)

punif(23,min = 15 , max = 25 , lower.tail = TRUE, log.p = FALSE) - punif(18,min = 15 , max = 25 , lower.tail = TRUE, log.p = FALSE)
[1] 0.5

d)

punif(18,min = 15 , max = 25 , lower.tail = TRUE, log.p = FALSE) - punif(12,min = 15 , max = 25 , lower.tail = TRUE, log.p = FALSE)
[1] 0.3

3.11)

pexp(0.3125 , 0.5)
[1] 0.1446547

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