Answer:
About 9-10 weeks
Step-by-step explanation:
70/7= 10
Answer:
a) P(x=3)=0.089
b) P(x≥3)=0.938
c) 1.5 arrivals
Step-by-step explanation:
Let t be the time (in hours), then random variable X is the number of people arriving for treatment at an emergency room.
The variable X is modeled by a Poisson process with a rate parameter of λ=6.
The probability of exactly k arrivals in a particular hour can be written as:
a) The probability that exactly 3 arrivals occur during a particular hour is:
b) The probability that <em>at least</em> 3 people arrive during a particular hour is:
![P(x\geq3)=1-[P(x=0)+P(x=1)+P(x=2)]\\\\\\P(0)=6^{0} \cdot e^{-6}/0!=1*0.0025/1=0.002\\\\P(1)=6^{1} \cdot e^{-6}/1!=6*0.0025/1=0.015\\\\P(2)=6^{2} \cdot e^{-6}/2!=36*0.0025/2=0.045\\\\\\P(x\geq3)=1-[0.002+0.015+0.045]=1-0.062=0.938](https://tex.z-dn.net/?f=P%28x%5Cgeq3%29%3D1-%5BP%28x%3D0%29%2BP%28x%3D1%29%2BP%28x%3D2%29%5D%5C%5C%5C%5C%5C%5CP%280%29%3D6%5E%7B0%7D%20%5Ccdot%20e%5E%7B-6%7D%2F0%21%3D1%2A0.0025%2F1%3D0.002%5C%5C%5C%5CP%281%29%3D6%5E%7B1%7D%20%5Ccdot%20e%5E%7B-6%7D%2F1%21%3D6%2A0.0025%2F1%3D0.015%5C%5C%5C%5CP%282%29%3D6%5E%7B2%7D%20%5Ccdot%20e%5E%7B-6%7D%2F2%21%3D36%2A0.0025%2F2%3D0.045%5C%5C%5C%5C%5C%5CP%28x%5Cgeq3%29%3D1-%5B0.002%2B0.015%2B0.045%5D%3D1-0.062%3D0.938)
c) In this case, t=0.25, so we recalculate the parameter as:
The expected value for a Poisson distribution is equal to its parameter λ, so in this case we expect 1.5 arrivals in a period of 15 minutes.
Answer:
$R = $500 + $15(t)
Step-by-step explanation:
in this question, we are told to give a mathematical expression that would model the amount of money that is made by Hillel.
from the question, we were made to understand that the amount of money he makes is a front of his time t. that is noted.
and also, he has a base cost of $500.
now, let’s write an equation;
R = $500 + 15(t)
where t represents the length of the performance as suggested by women
Answer:
Step-by-step explanation:
4/3pi r3=900
pi r3= 675
r3=675*7/22
r3=214
r is about 6 so d=2r=12
What is the solution (not answer) to (not too) x^2 - 3x + 5 = 0?
This is a quadratic equation. Two possible approches to solving it are
1) quadratic formula, and
2) completing the square.
Let's use the quadratic formula:
a=1, b= -3, c = 5
Then
-(-3) plus or minus sqrt( [-3]^2 - 4(1)(5) )
x = --------------------------------------------------------
2
3 plus or minus sqrt(9-20) 3 plus or minus i*sqrt(11)
= ------------------------------------- = ------------------------------------
2
Please note: These are complex roots, due to the " i ".
