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
Unless there is no promotion like "buy 2 get 1 free" or "buy 2 get 1 for 50%" etc. then the cost of ordering multiple items is always proportional. Let's say something costs $5. Two items will cost $10, three $15, four $20 etc. These numbers are all proportional. Hopefully that's what you meant :)
Answer:
no
Step-by-step explanation:
If this were a right triangle we would assume the Pythagorean Theorem to prove it
this gives us
49+64=84.64
this is 143=84.64 and therefore not equal and not a right triangle
Answer:
The application of scientific knowledge to solve problems or create new products is inter dependant with curiosity
Answer:
Step-by-step explanation:
<u>Step 1:</u>
<em>Equation should be:</em>
<u>Step 2:</u>
<em>Equation should be:</em>
<u>Step 3:</u>
- Factoring
- The first term is
. It's coefficient is 3. - The middle term is +18x, it's coefficient is 18.
- The last term, "the constant", is -13.
<em>Step 1</em>:
- Multiply the coefficient of the first term by the constant 3 * -13 = -39
<em>Step 2:</em>
- Find two factors of -39 whose sum equals the coefficient of the middle term, which is 18 .
- -39 + 1 = -38
- -13 + 3 = -10
- -3 + 13 = 10
- -1 + 39 = 38
- Observation : No two such factors can be found !!
- Conclusion : Trinomial can not be factored
<u>Solution:</u>
- <u />
.
