Answer:
The probability that there are more heads than tails is equal to
.
Step-by-step explanation:
Since the number of flips is an odd number, there can't be an equal number of heads and tails. In other words, there are either
- more tails than heads, or,
- more heads than tails.
Let the event that there are more heads than tails be
.
(i.e., not A) denotes that there are more tails than heads. Either one of these two cases must happen. As a result,
.
Additionally, since this coin is fair, the probability of getting a head is equal to the probability of getting a tail on each toss. That implies that (for example)
- the probability of getting 7 heads out of 15 tosses will be the same as
- the probability of getting 7 tails out of 15 tosses.
Due to this symmetry,
- the probability of getting more heads than tails (A is true) is equal to
- the probability of getting more tails than heads (A is not true.)
In other words
.
Combining the two equations:
,
.
In other words, the probability that there are more heads than tails is equal to
.
This conclusion can be verified using the cumulative probability function for binomial distributions with
as the probability of success.

.
ep explanation:
Answer:
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In most cases, income tax brackets are progressive, meaning that the greater the income, the higher the rate of taxation. Federal rates for the 2013 tax year range from 10 to 39.6 percent. State and city rates are generally much lower.
Answer:
100
Step-by-step explanation:
10^5= 100,000
10^3= 1,000
100,000÷1,000= 100
Answer:

Step-by-step explanation:
The recursive rule tells you the initial term of the sequence is a1 = -3, and the common difference is d=7. (7 is the value added to one term to get the next term.)
Putting these values into the formula for the explicit rule gives ...
an = a1 +d(n -1)
an = -3 + 7(n -1)