At one of New York’s traffic signals, if more than 17 cars are held up at the intersection, a traffic officer will intervene and
2 answers:
You might be interested in
To find our quotient we are going to perform long division.
Long division step by step:
Step 1. Write the polynomial (dividend) in descending order (from highest to least exponent). If you encounter a missing term, use zero to fill the space of the term in the descending sequence.
Notice that even tough our polynomial is written in descending form, is missing, so we are going to use
to fill the gap:
Step 2. Divide the first term of the polynomial (dividend) by the first term of the divisor.
In our case the first term of the dividend is and the first term of the divisor is
, so
. Notice that
is the first term of the quotient.
Step 3. Multiply the first term of the quotient by the terms of the divisor and subtract them from the respective term of the dividend.
The first term of our quotient (from the previous step) is and the divisor is
, so
. Now, we are going to subtract them from the respective term (the term with the same power) of the dividend. The respective terms of the dividend are
and
, so
and
Step 4. Bring down the next term in the dividend and repeat the process for the remaining terms.
After finish the process (check the attached picture), we can conclude that the quotient of ÷
is
with a remainder of
, or in a different notation:
Answer:
Step-by-step explanation:
Given that a fisherman catches fish according to a Poisson process with rate lambda = 0.6 per hour.
The fisherman will keep fishing for two hours.
Since he continues till he gets atleast one fish, we can calculate probability as follows:
(a) Find the probability that he stays for more than two hours.
= Prob (x=0) in I two hours and P(X≥1) in 3rd hour
=P(x=0)*P(X=0)*P(X≥1) (since each hour is independent of the other)
=
(b) Find the probability that the total time he spends fishing is between two and five hours.
Prob that he does not get fish in I two hours * prob he gets fish between 3 and 5 hours
=
(c) Find the expected number offish that he catches.
Expected value in Geometric distribution = , where p = prob of getting 1 fish in one hour
=
(d) Find the expected total fishing time, given that he has been fishing for four hours.
= Expected fishing time total/expected fishing time for 4 hours
=3/0.6*4
= 1.25 hours
Answer:
Below mentioned is the answer.
Step-by-step explanation:
Finished Product A 1 2 3 4
Gross Requirements 20 20 50 30
Scheduled Receipts 25
Planned Delivery 0
Projected on Hand Inventory 30 10 15 40 10
Planned Order Release 0
safety stock 10
