Answer:
Binomial distribution requires all of the following to be satisfied:
1. size of experiment (N=27) is known.
2. each trial of experiment is Bernoulli trial (i.e. either fail or pass)
3. probability (p=0.14) remains constant through trials.
4. trials are independent, and random.
Binomial distribution can be used as a close approximation, with the usual assumption that a sample of 27 in thousands of stock is representative of the population., and is given by the probability of x successes (defective).
P(x)=C(N,x)*p^x*(1-p)^(n-x)
where N=27, p=0.14, and C(N,x) is the number of combinations of x items out of N.
So we need the probability of <em>at most one defective</em>, which is
P(0)+P(1)
= C(27,0)*0.14^0*(0.86)^(27) + C(27,1)*0.14^1*(0.86^26)
=1*1*0.0170 + 27*0.14*0.0198
=0.0170+0.0749
=0.0919
The area of that square would be 121 cm^2 because :
area of square = length(width)
= 11(11)
= 121
Then you also have to square the units(cm). So the final answer would be 121 cm^2 (the " ^ "represents the exponentiation)
Step-by-step explanation:
3a-50=8
3a=50+8
3a=58
a= 19and 1/3
the dot plot, because box plot only shows the 5 number summary and histograms show ratios
6, 2, -2 i could be wrong :/