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 simple interest of $4,700 principal at 4% interest and 10 months is <u>$156.67</u> and its <u>maturity level</u> is <u>83%</u>.
<h3>What is simple interest?</h3>
Simple interest refers to the interest calculated only on the principal.
With the simple interest method, the borrower only pays interest on the principal without considering the previously-accumulated interests.
<h3>Data and Calculations:</h3>
Principal = $4,700
Interest rate = 4%
Period = 10 months
Simple interest = $156.67 ($4,700 x 4% x 10/12)
Thus, the simple interest of $4,700 principal at 4% interest and 10 months is <u>$156.67</u> and its <u>maturity level</u> is <u>83%</u>.
Learn more about simple interests at brainly.com/question/
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