The graph above shows the distance that a truck travels as a function of the total number of liters of fuel used. The first 6 li
ters of fuel were used for city driving, while the next 10 liters were used for highway driving. Based on the graph, how does the average miles per liter for city driving compare to the average miles per liter for highway driving?
1 answer:
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Answer: a) Independent
b) Independent
c) Dependent
Step-by-step explanation:
Since, If a coin is tossed three times,
Then, total number of outcomes, n(S) = 8
a) : tails comes up with the coin is tossed the first time;
= { TTT, THH, THT, TTH }
: heads comes up when the coin is tossed the second time.
= { THT, HHH, THH, HHT }
Thus,
⇒
Similarly,
⇒
Since, = { THH, THT }
⇒
Thus,
Therefore, and
are independent events.
B) : the first coin comes up tails
= { TTT, THH, THT, TTH }
: two, and not three, heads come up in a row
= { HHT, THH }
Thus,
⇒
Similarly,
⇒
Since, = { THH }
⇒
Thus,
Therefore, and
are independent events.
C) : the second coin comes up tails;
= { HTH, HTT, TTT, TTH }
: two, and not three, heads come up in a row
= { HHT, THH }
Thus,
⇒
Similarly,
⇒
Since, =
⇒
Thus,
Therefore, and
are dependent events.