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:
x=27/28
Step-by-step explanation:
Let's solve your equation step-by-step.
2x−14+x3=2
Step 1: Simplify both sides of the equation.
2x−14+x3=2
2x+−14+13x=2
(2x+13x)+(−14)=2(Combine Like Terms)
73x+−14=2
73x+−14=2
Step 2: Add 1/4 to both sides.
73x+−14+14=2+14
73x=94
Step 3: Multiply both sides by 3/7.
(37)*(73x)=(37)*(94)
x=27/28
Answer:
x=27/28
Answer:
10n
Step-by-step explanation:
n represents number, its like using X, since we don't have the information on it, we replace it with a letter.