Answer:
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Step-by-step explanation:
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Answer:
a) 25%
b) 50%
c) 87.5%
Step-by-step explanation:
There are
number of outcome in total.
a)First and last flips come up heads. There are 4 outcomes here. Probability of the event is 4/16 = 1/4, or 25%.
- HHHH
- HHTH
- HTHH
- HTTH
b) at least 2 Consecutive flips that is heads. There are 8 outcomes. Probability of event is 8/16 = 1/2, or 50%
- HHHH
- HHHT
- HHTH
- HHTT
- THHH
- THHT
- HTHH
- TTHH
c) At least 2 consecutive flips that are the same. There are 14 outcomes. Probability of 14/16 = 7/8, or 87.5%
- HHHH
- HHHT
- HHTH
- HHTT
- THHH
- THHT
- HTHH
- TTHH
- TTTT
- TTTH
- TTHT
- HTTT
- HTTH
- THTT
Answer:
The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent.
This means that 
80% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.