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:
D. 2x + y = -4
Step-by-step explanation:
Standard form for the equation of a line is Ax + By =C where A is a positive integer and B and C are integers
y + 1 = -2x - 3
Add 2x to each side
2x+y + 1 = -2x+2x - 3
2x+y +1 = -3
Subtract 1 from each side
2x+y +1-1 = -3-1
2x+y = -4
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we know that
<u>Simple events</u> are those events where one experiment occurs at one time and it will have a single outcome.
Option 'A' says Getting doubles on a roll of two dice : It has more than one outcome.
i.e. (1,1), (2,2), (3,3), (4,4), (5,5), (6,6).
Similarly, In option 'C' and 'D' both have more than one outcomes.
But Option 'B' says Getting a 4 on a roll of one die : It has single outcome and its probability will be
Hence, Option 'B' is simple event.
Therefore, Option 'b' is correct.
Step-by-step explanation:
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