RThompson_HW7

1. P(X=m) = (((k−m+1)^n) − (k−m)^n) / k^n

2a.

1-pgeom(8, .1)

## [1] 0.3874205

1/.1

## [1] 10

sqrt(.9/.1^2)

## [1] 9.486833

2b.

1-pexp(8, .1)

## [1] 0.449329

1/.1

## [1] 10

sqrt(1/.1^2)

## [1] 10

2c.

dbinom(0, 8, .1)

## [1] 0.4304672

8*.1

## [1] 0.8

sqrt(8*.1*.9)

## [1] 0.8485281

2d.

ppois(0, .1)^8

## [1] 0.449329

.8

## [1] 0.8

sqrt(.8)

## [1] 0.8944272