Question

ind the indicated probabilities using the geometric? distribution, the Poisson? distribution, or the binomial distribution. Then determine if the events are unusual. If? convenient, use the appropriate probability table or technology to find the probabilities. A newspaper finds that the mean number of typographical errors per page is nine. Find the probability that? (a) exactly five typographical errors are found on a? page, (b) at most five typographical errors are found on a? page, and? (c) more than five typographical errors are found on a page. ?(a) P(exactly five typographical errors are found on a ?page)equals nothing

Answer 1

Here have to use Poisson distribution to find the required probability.

Here mean= m= 9

Ti-83 calculator steps:

Press 2nd VARS [DISTR]. Scroll down to C:poissonpdf( Press ENTER.
Enter 9,5) and press ENTER The syntax is poissonpdf(mean, x-value)

a) here have to find P(x= 5) = 0.0607

b)P( at most 5) = P( x<= 5 ) =

Press 2nd VARS [DISTR].

Scroll down to

D:poissoncdf(

Press ENTER.(9,5) then press enter

= 0.1157

C) p( x> 5) = 1- P ( x <=5)= 1- 0.1157 = 0.8843

The probability is greater than 0.05 so it is usual event.