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Answer:
\frac{1}{230230}
Step-by-step explanation:
Given that in a certain lottery, an urn contains balls numbered 1 to 26
From this urn, 6 balls are chosen randomly, without replacement.
Bet amount 1 dollar and he selects a set of six numbers.
If these match with those chosen from the urn he wins (order does not matter)
Total ways of choosing 6 out of 26 =
The way he selects = 1
Hence probability of winning =
with one ticket
Answer:
The 90% confidence interval for the mean nicotine content of this brand of cigarette is between 20.3 milligrams and 30.3 milligrams.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 9 - 1 = 8
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of . So we have T = 1.8595
The margin of error is:
M = T*s = 1.8595*2.7 = 5
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 25.3 - 5 = 20.3 milligrams
The upper end of the interval is the sample mean added to M. So it is 25.3 + 5 = 30.3 milligrams.
The 90% confidence interval for the mean nicotine content of this brand of cigarette is between 20.3 milligrams and 30.3 milligrams.