Answer:
The probability that the coins are thrown more than three times to show the same face is 0.3164.
Step-by-step explanation:
The problem is related to Geometric distribution.
The Geometric distribution defines the probability distribution of <em>X</em> failures before the first success.
The probability distribution function is:
First compute the probability that in the 
throw all the three coins will show the same face.
P (All the 3 coins shows the same face) = P (All the three coins shows Heads) + P (All the three coins shows Tails)
Now compute the probability that it takes more than 3 throws for the coins to show the same face.
P (<em>X</em> > 3) = 1 - P (<em>X</em> ≤ 3)
![=1-[P(X=1)+P(X=2)+P(X=3)]\\=1-[[(1-\frac{1}{4} )^{0}\times\frac{1}{4}]+[(1-\frac{1}{4} )^{1}\times\frac{1}{4}]+ [(1-\frac{1}{4} )^{2}\times\frac{1}{4}]+[(1-\frac{1}{4} )^{3}\times\frac{1}{4}]]\\=1-[0.2500+0.1875+0.1406+0.1055]\\=1-0.6836\\=0.3164](https://tex.z-dn.net/?f=%3D1-%5BP%28X%3D1%29%2BP%28X%3D2%29%2BP%28X%3D3%29%5D%5C%5C%3D1-%5B%5B%281-%5Cfrac%7B1%7D%7B4%7D%20%29%5E%7B0%7D%5Ctimes%5Cfrac%7B1%7D%7B4%7D%5D%2B%5B%281-%5Cfrac%7B1%7D%7B4%7D%20%29%5E%7B1%7D%5Ctimes%5Cfrac%7B1%7D%7B4%7D%5D%2B%20%5B%281-%5Cfrac%7B1%7D%7B4%7D%20%29%5E%7B2%7D%5Ctimes%5Cfrac%7B1%7D%7B4%7D%5D%2B%5B%281-%5Cfrac%7B1%7D%7B4%7D%20%29%5E%7B3%7D%5Ctimes%5Cfrac%7B1%7D%7B4%7D%5D%5D%5C%5C%3D1-%5B0.2500%2B0.1875%2B0.1406%2B0.1055%5D%5C%5C%3D1-0.6836%5C%5C%3D0.3164)
Thus, the probability that it takes more than 3 throws for the coins to show the same face is 0.3164.
Answer:
Jayce's fee (in dollars) for 10th drive on a certain day is K.
Step-by-step explanation:
It is given that M(n) models Jayce's fee (in dollars) for nth drive on a certain day.
We need to find the meaning of M(10)=K.
On comparing M(n) and M(10), we get the value of n is 10.
Since M(n) represents the Jayce's fee (in dollars) for nth drive on a certain day, therefore, M(10) represents the Jayce's fee (in dollars) for 10th drive on a certain day.
It means Jayce's fee (in dollars) for 10th drive on a certain day is K.
Answer:
The graph of a direct variation equation is a line through the origin. The slope of the graph of y = ax is a. through the point (4,6). Write the direct variation equation and find the value of y when x =24.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
because its at 6,3
Answer:
pairs of numbers is 3,-3
Step-by-step explanation:
The computation is shown below:
Let us assume a and b are the pairs of the numbers whose difference is 6
i.e.
a - b = 6
a = 6 + b
So
f = ab
f = (6 + b)b is minimum
Now
d ÷ db (6+ b)b = 0
(6+ b) + b = 0
2b = -6
b = -3
Now
a = 6 + b
= 3
So pairs of numbers is 3,-3
