Answer:
In this case we use the Poisson distribution because we are talking about the occurrence of an event (number of tracks) over a specified interval (in this case an area interval).
The probability of the event occurring x times over an interval is:
P(x) = nˣ × e⁻ⁿ ÷ x!
where n is the mean.
a) P(7) = 6⁷ × e⁻⁶ ÷ 7! = 0.1376
b) P(x ≥ 3) = 1 - P(x < 3) = 1 - P(2) - P(1) - P(0)
P(2) = 6² × e⁻⁶ ÷ 2! = 0.0446
P(1) = 6¹ × e⁻⁶ ÷ 1! = 0.0149
P(0) = 6⁰ × e⁻⁶ ÷ 0! = 0.0025
P(x ≥ 3) = 0.9380
c) P(2 < x < 7) = P(3) + P(4) + P(5) + P(6) = 0.0892 + 0.1339 + 0.1606 + 0.1606 = 0.5443
d) The mean is going to be 6.
e) The standard deviation is √n = √6 = 2.4
Answer:
7 IS LESS THAN OR EQUAL TO 7-.75X+1.29
Step-by-step explanation:
X IS THE NUMBER OF BAGELS BOUGHT
For x²+bx+c, to complete the square, you add (half of b)²
b=8 in this case, so you add 4², which is 16
x²+8x+16-16-4
y=(x+4)²-20 is the final form.
Answer:
Step-by-step explanation:
A graph has a constant of proportionality of 7.2. Let y represent minutes and x represent miles.
What is the unit rate of the relationship?
Enter your answer, as a decimal, in the box
min/mi
pls help me
Answer:
10
Step-by-step explanation:
5*2=10
10*1=10
so 1/5=2/10