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
Answer:
1
Step-by-step explanation:
-2 + (-4) = -6 + 7 = 1
evaluate = solve
Answer:
3.73 ( The three is infinite)
Step-by-step explanation:
9514 1404 393
Answer:
AD= 8
DC= 15
Angle a= 112°
Angle b= 68°
Angle c= 112°
Step-by-step explanation:
We have to assume the figure is a parallelogram.
Opposite sides of a parallelogram are congruent, so ...
BC = AD = 8
AB = DC = 15
Opposite angles are congruent, and adjacent angles are supplementary.
180° - ∠D = Angle a = Angle c = 112°
∠D = Angle b = 68°
