The number of typographical errors on a page of the first booklet is a poisson random variable with mean 0.2. the number of typographical errors on a page of second booklet is a poisson random variable with mean 0.3. suppose the number of errors on different pages of the same or different booklets is independent. there are 7 pages in the first booklet and 5 pages in the second one. find the probability of more than 2 typographical errors in the two booklets in total.

The required probability is 0.55404.

Step-by-step explanation:

Consider the provided information.

The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typographical errors on a page of second booklet is a Poisson random variable with mean 0.3.

Average error for 7 pages booklet and 5 pages booklet series is:

λ = 0.2×7 + 0.3×5 = 2.9

According to Poisson distribution:

Where is average number of events.

The probability of more than 2 typographical errors in the two booklets in total is:

Substitute the respective values in the above formula.

Hence, the required probability is 0.55404.

step-by-step explanation: