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3 years ago

Help me figure out these problems. Just put a,b,c,or d as answer and I'll give brianliest

Mathematics

2 answers:

kogti [31]3 years ago

7 0

Answer:

13 - c, 14 - d, 15 - b, 16 - b

Step-by-step explanation:

Olin [163]3 years ago

4 0

Answer:

13. C

14. D

15. B

16. B

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3 years ago

Assume the number of typo errors on a single page of a book follows Poisson distribution with parameter 1=3. Calculate the proba

asambeis [7]

Answer:

(i). 0.03981

(ii).0.0048

Step-by-step explanation:

The probability density function of Poisson distribution is:

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

Consider <em>X</em> is a number of typos error on a single page of a book and <em>X</em> follows the Poisson distribution with $\lambda = \dfrac{1}{3}$

(i) Exactly two typos:

$\begin{aligned}P(X = 2,\frac{1}{3})&=\frac{e^{-\frac{1}{3}}\frac{1}{3}^{2}}{2!}\\&=\frac{e^{-\frac{1}{3}}}{18}\\&=0.03981\end{aligned}$

(ii) Two or more typos:

$\begin{aligned}P(X\geq2,\frac{1}{3})&=1-[P(X=0)+P(X=1)+P(X+2)]\\&=1-[0.7165+0.2388+0.03981]\\&=1-0.9952\\&=0.0048\end{aligned}$

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4 years ago