It is given that number of accidents on a particular highway is average 4.4 per year.
a. Let X be the number of accidents on a particular highway.
X follows Poisson distribution with mean μ =4.4
The probability function of X , Poisson distribution is given by;
P(X=k) = 
b. Probability that there are exactly four accidents next year, X=4
P(X=4) = 
P(X=4) = 0.1917
Probability that there are exactly four accidents next year is 0.1917
c. Probability that there are more that three accidents next year is
P(X > 3) = 1 - P(X ≤ 3)
= 1 - [ P(X=3) + P(X=2) + P(X=1) + P(X=0)]
P(X=3) = 
P(X=3) = 0.1743
P(X=2) = 
P(X=2) = 0.1188
P(X=1) = 
P(X=1) = 0.054
P(X=0) = 
= 0.0122
Using these probabilities into above equation
P(X > 3) = 1 - P(X ≤ 3) = 1 - [ P(X=3) + P(X=2) + P(X=1) + P(X=0)]
= 1 - (0.1743 + 0.1188 + 0.054 + 0.0122)
P(X > 3) = 1 - 0.3593
P(X > 3) = 0.6407
Probability that there are more than three accidents next year is 0.6407
We will see that the cost of filling the tank is $38.88, and at the final of the trip she will have 4 gallons on the tank.
<h3>
How much costs to fill the tank?</h3>
a) The car holds 18 gallons, and it has 1/5 of the tank remaining.
Then in the tank there are:
(1/5)*18 = 3.6 gallons.
Then we need 18 gal - 3.6 gal = 14.4 gal
And each gallon costs $2.70, then to fill the tank, Miss Kito needs:
(14.4)*$2.70 = $38.88
b) Now we know that the car travels 26 miles per gallon, and she needs to travel a total distance of 364 miles.
Then she needs:
To travel that distance, and the car holds 18 gallons, so at the end of the trip, she will have 4 gallons of gasoline in her car.
If you want to learn more about algebra, you can read:
brainly.com/question/4344214
Answer:
f(e - 9) = 8e - 67
Step-by-step explanation:
To evaluate f(e - 9) substitute x = e - 9 into f(x)
f(e - 9) = 8(e - 9) + 5 = 8e - 72 + 5 = 8e - 67
Answer:
B. 8 x 10^3
Step-by-step explanation:
1.6 x 10^5 / 0.2 x 10^2
= 160 000 / 20
= 8 000
You can write this as 8 x 10^3
Answer: there is room for
approximately 33.49 in^3 of coconut milk.
Step-by-step explanation:
Hi, to answer this question first, we have to find the diameter of the inside sphere by subtracting the thickness of the coconut meat (1in)to the diameter of the entire coconut:(5in)
5-1 =4in (diameter)
Since
Diameter= 2radius
4 /2=r
2in=r
Applying the next formula:
Volume of a sphere: 4/3 π r^3
Replacing with the values given:
V = 4/3 (3.14) 2^3 = 33.49 in3
