When circuit boards used in the manufacture of compact disc players arc tested, the long-run percentage of defectives is 5%. let x= the number of defective boards in a random sample of size n=25, so

x∼bin(25,0.05).

(a) determine p(x=3).

(b) determine p(x≤3).

(c) determine p(x≥4).

(d) determine p(1≤x≤3).

(e) what is the probability that none of the 25 boards is defective?

a)0.093

b)0.9664

c)0.0336

d)0.698

e)0

Step-by-step explanation:

f

step-by-step explanation:

f

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584