The mayor of a small town would like to know whether a local bond issue is likely to pass or not. He mails a survey to 500 randomly selected voters. How many returns must he get in order to know the proportion that will support the bond issue within an error of 5% and a confidence level of 95%? If he gets a 60% return from the mailing and would like to keep the error at 5%, what will happen to his confidence in the result? If he gets a 60% return from the mailing and would like to maintain his 95% confidence in the result, what will happen to the error?

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In every case, we use the relation n = p * q * (z/E)^2 = p * (1 - p) * (z/E)^2

(a) n = 0.5 * 0.5 * ...

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At the first tri-city meeting, there were 8 people from town A, 7 people from town B, and 5 people from town C. If the council consists of 5 people, find the probability of 3 from town A and 2 from town B.

I need to know how to use the formula to answer these questions.
The time needed to drive from town A to town B is normally distributed with a mean of 180 minutes and standard deviation of 20 minutes. What is the probability that a person will drive from town A to town B in i) three hours or more, ii) in less than 180 minut

Jessica must finish two courses (much like myself), statistics and economics, in order to complete the requirements for a BA degree. All along she has maintained an 80% average. She has calculated probabilities of scoring in the remaining two courses as follows:
Probability of scoring 80 in Statistics= 0.80
Probability of sc

A frequency distribution is shown below. Complete parts (a) through (e).
The number of dogs per household in a smalltown
Dogs 0 1 2 3 4 5
Households 1157 417 168 45 26 16
a) Use the frequency distribution to construct a probability distribution.
X

Consider a binomial distribution with 15 identical trials, and a probability of success of 0.5
i. Find the probability that x = 2 using the binomial tables
ii. Use the normal approximation to find the probability that x = 2. Show all work

1. If two balanced die are rolled, the possible outcomes can be represented as follows:
(1,1) (2,1) (3,1) (4,1) (5,1) (6,1)
(1,2) (2,2) (3,2) (4,2) (5,2) (6,2)
(1,3) (2,3) (3,3) (4,3) (5,3) (6,3)
(1,4) (2,4) (3,4) (4,4) (5,4) (6,4)
(1,5) (2,5) (3,5) (4,5) (5,5) (6,5)
(1,6) (2,6) (3,6) (4,6) (5,6) (6,6)
Determine the p

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The average home price in one particular U.S. city is $214,000.
2. Determine if this is an example of a variable or a parameter:
79.6% of Americans own at least one vehicle.

Please assess this statement.
A smalltown that grows exponentially can become a large city in just a few decades.
Option 1) Does not make sense because exponential growth leads to repeated halvings, making the population decrease rapidly.
Option 2) Does not make sense because growth cannot continue indefinitely so the

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- The probability at least 13 of 15 have brown eyes = ____ (three decimal places