In this current scenario,
Probability of passing, p = 65% = 0.65
Then,
Probability of not passing, q = 1-p = 1-0.65 = 0.35
Part (a): When 15 people are tested
(i) Number of people expected to pass
This is 65% of the 15 people tested. That is,
Number of people expected to pass = 0.65*15 = 9.75. This is rounded downwards as upward rounding will violate the 65% criteria.
Therefore,
Number of people expected to pass = 9 people.
(ii) Probability that 11 people are expected to pass the test
p(x=11) = [15Cx]*p^x*q^(15-x) = [15C11]*0.65^11*0.35^(15-11) = 0.1792 ≈ 17.92%
Part (b): Teenager determined to pass the test no matter how many times
(i) Probability that he passes the test the third time
This means that he will fail the first and second time. That is,
Probability pf passing the third time = q*q*p = 0.35*0.35*0.65 = 0.079625 = 7.9625%
(ii) Number of trials it takes to pass
This is a case of mathematical expected, E, that it takes before first occurrence of success. Normally,
E = 1/p
Substituting;
E = 1/0.65 = 1.54 ≈ 2
Therefore, at least two trials will be required.
Answer:2
n3
+
9
n
2
−
26
n
+
12
Step-by-step explanation:
Y+12=-50 y=-62
To solve
Subtract 12 from each side of the equation
y=-62
Y=-62
By the law of cosines, the angle
satisfies
which reduces to
which converts to approximately 77 degrees (this can be done my multiplying by 180 and dividing by pi).
The area of the farm is the number of trees on it.
Each row of the farm does not have 50 trees
Let
<em />
<em> number of rows</em>
<em />
<em> number of trees in each row</em>
<em />
So, we have:
<em />
<em> --- twice less than the number of rows</em>
The area of the farm is:
Where
--- the number of trees
So, we have:
Substitute
Substitute 50 for x
The above equation is not true.
This means that, each row does not have 50 trees
Read more about areas at:
brainly.com/question/16418397
