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neonofarm [45]
3 years ago
5

The expected number of typographical errors on any page of a certain magazine is 0.2. What is the probability that a certain pag

e you read contains a total of 2 or more typographical errors
Mathematics
1 answer:
zhuklara [117]3 years ago
5 0

Answer:

The probability of 2 or more errors is 0.018.

Step-by-step explanation:

Let <em>X</em> = number of typographical errors on a page of a certain magazine.

The expected number of errors is, <em>λ</em> = 0.2.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 0.2.

The probability mass function of <em>X </em>is:

P(X=x)=\frac{e^{-0.2}0.2^{x}}{x!};\ x=0,1,2,3...

Compute the probability of 2 or more errors as follows:

P (X ≥ 2) = 1 - P (X < 2)

              = 1 - P (X = 0) - P (X = 1)

=1-\frac{e^{-0.2}0.2^{0}}{0!}-\frac{e^{-0.2}0.2^{1}}{1!}\\=1-0.81873-0.16375\\=0.01752\\\approx0.018

Thus, the probability of 2 or more errors is 0.018.

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