In probability, there is an equation appropriate for repeated trials. This concept is used to find the probability of an event happening when a number of a series of trials are done. The equation is:
n!/r!(n-r)! * p^(n-r) * q^r, where
n is the number of total number of trials
r is the number of success from the trials
p is the binomial probability of the event happening
q is equal to 1 - p
It is important to note that probability is a part of the whole. In this problem, we are to find the probability of at least one defect. That means it encompasses also the probability of 2, 3, and 4 defects. To be easier, let's just find the probability of no defect, then find subtract this to 1, to get the answer.
So, r=0 defects, n=4 trials, p = 10% defect rate, q = 90%. Substituting,
4!/0!(4-0)! * (0.1)^(4-0) * (0.9)^(0) = 0.0001
That means the probability of at least one defect is 1 - 0.0001 = 0.9999.
6+8+5=19
Probability= 8/19=0.42= 42% of picking green.
Let g and b represent the numbers of grandstand and bleacher tickets sold.
.. g + b = 5716 . . . . . . . . . total number of tickets sold
.. 65g +40b = 341690 . . value of tickets sold
Using the first equation
.. g = 5716 -b
Sustituting into the second equation
.. 65(5716 -b) +40b = 341690
.. -25b + 371540 = 341690 . . . . . collect terms
.. -25b = -29850 . . . . . . . . . . . . . . subtract 371540
.. b = 1194 . . . . . . . . . . . . . . . . . . . . divide by -25
1194 bleacher tickets were sold.
Answer and explanation:
To find : Calculate to the nearest 1/10th foot the length of the side of a 5th, 10th, and 100th acre square plot.
Solution :
The area of the square is given by,
where s is the side length.
We know,
1) The area of square plot is 5 acre.
Area in foot square is
Substitute the value in the formula,
Side nearest to 1/10th foot is 466.7 foot.
2) The area of square plot is 10 acre.
Area in foot square is
Substitute the value in the formula,
Side nearest to 1/10th foot is 660.0 foot.
3) The area of square plot is 100 acre.
Area in foot square is
Substitute the value in the formula,
Side nearest to 1/10th foot is 2087.1 foot.