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
Divide both sides by 5 and then n + 2 =2 so the answer is n=0
hope this help
Answer:
x=1+√5 or x=1−√5
Step-by-step explanation:
First divide 17 by 24
This equals .7083333
To change a decimal to a percent, move the decimal 2 places to the right
Percent= 70.833%
Answer is 70.83%
(The 3 is repeating)
Answer:
0.049
4.9 % of probability
Step-by-step explanation:
The probability of having the disease is equal to 7%
The probability of testing positive, having the disease is equal to 70%
We are looking for the probability of testing positive.
For that, we need to multiply the probabilities to find the result
P = (0.07)*(0.7)
P = 0.049
P = 4.9%