Check whether the sequence is arithmetic. If so, find the common difference d. 2, 7, 12, 17, 22 ... Select the correct choi
ce below and, if necessary, fill in the answer box within your choice.
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
From the information given:
the rate of the cars =
the rate of the buses =
the rate of motorcycle =
The probability of any event at a given time t can be expressed as:
∴
(a)
Thus;
P(exactly 2 cars, 1 motorcycle in 20 minutes) = 0.1465 × 0.3422 × 0.1353
P(exactly 2 cars, 1 motorcycle in 20 minutes) = 0.0068
(b)
the rate of the total vehicles = 0.2 + 0.1 + 0.0333 = 0.3333
the rate of vehicles with exact change = rate of total vehicles × P(exact change)
= 0.0833
∴
P(zero exact change in 10 minutes) = 0.4347
c)
The probability of the 7th motorcycle after the arrival of the third motorcycle is:
Thus; the probability of the 7th motorcycle after the arrival of the third one is = 0.0469
d)
P(at least one other vehicle arrives between 3rd and 4th car arrival)
= 1 - P(no other vehicle arrives between 3rd and 4th car arrival)
The 3rd car arrives at 15 minutes
The 4th car arrives at 20 minutes
The interval between the two = 5 minutes
<u>For Bus:</u>
P(no other vehicle other vehicle arrives within 5 minutes is)
=
<u>For motorcycle:</u>
∴
The required probability =
= 1- 0.5134
= 0.4866