Respuesta :
The value of = 9
The probability of r=9 successes = 0.1318
Step - by - Step Explanation
What to find?
• The value of .
,• The probability of r=9 successes.
Given parameters:
• The number of trials, n = 100
,• Probability of success on a single trial, P=0.09
,• probability of r = 9
To find the value of , we will use the formula below:
= np
susbtitute the values and substitute.
= 100 x 0.09
= 9
The probability of r=8 successes is given by P(r = 8).
The formula for computing the poisson distribution is given by;
[tex]P(r)=\frac{e^{-\lambda}\lambda^r}{r!};\text{ r=}0,\text{ 1, 2 }\ldots[/tex]Substitute the values and simplify.
[tex]P(9)=\frac{e^{-9}(9)^9}{9!}[/tex][tex]P(9)=\frac{47811.4850634}{362880}[/tex][tex]=0.13175564001[/tex]Hence, the probability of r=9 successes is 0.1318
