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ester32152
18.06.2020 •
Mathematics
Let the experiment be the toss of six coins in a row. Let X be number of of coins that turn up heads. Determine whether the following statement is true or false: The event that X<3 and the event that X>3 are independent. Question 3 options: True False
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Ответ:
True
Step-by-step explanation:
When a coin is tossed six coins in a row, there are a total of
outcomes.
The possible number of times for a heads are {0, 1, 2, 3, 4, 5, 6}.
Let our random variable, Number of coins that turn up heads be X
X={0, 1, 2, 3, 4, 5, 6}.
The event that X<3 and the event that X>3 cannot occur simultaneously in the same outcome.
In an outcome, its either one of the following happens:
Number of heads = Number of Tails =3Number of heads < Number of TailsNumber of heads > Number of TailsNumber of heads cannot be greater than Number of HeadsTherefore, the events that X<3 and X>3 are independent.
Ответ:
2(lw + lh + wh)
2((16*4) + (16*8) + (4*8)
2(64 + 128 + 32)
2(224)
The answer is 448