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1. A coin is tossed 4 times. Let X denote the number of heads which appear in 4 tosses.
a) Construct a probability distribution for X
b) Find P(X>2)
c) Find the expected value of X
d) Find the variance and standard deviation of X
2. The probability that a randomly selected elementary or secondary school teacher from a city is female is 0.68, holds a second job is 0.38, and is female and holds a second job is 0.29. Find the probability that an elementary or secondary school teacher selected at random from this city is female or holds a second job.
3. Suppose the statistic final exam has 10 multiple choice questions, each with 4 choices. If a student randomly guesses the answers, what is the probability he will pass the final exam. (Assume the student passes with 60 or higher, and each question is worth 10)
If you wish to estimate a population mean with a sampling distribution error SE = 0.28 using a 95% confidence interval and you know from prior sampling that sigma^2 is approximately equal to 5.4, how many observations would have to be included in ..
What can one conclude about the librarian's hypothesis at a level of significance of .05?
Consider the following data values of variables x and y. The equation of the least-squares regression line for this data is
(A) What sums are needed to calculate a correlation coefficient? (B) What are the two ways of testing a correlation coefficient for significance?
He argues that the regression effect says people who perform very poorly in their previous job tend to perform well in their next job. Is this what the regression effect says? Explain.
The table below lists the number of audience impressions (in hundreds of millions) listening to songs and the corresponding numbers of albums sold (in hundreds of thousands).
The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the follo..
Due to financial hardship, the Nyke shoe company feels they only need to make one size of shoes, regardless of gender or height. They have collected data on gender, shoe size, and height
The following table gives the coal usage and electricity generated by ten randomly selected power stations in South Africa in 1992:
The Rio-River Railroad, headquartered in Santa Fe, New Mexico, is trying to devise a method for allocating fuel costs to individual railroad cars on a particular route between Denver and Santa Fe.
40 were in favor of the Independent candidate, and 140 were undecided. At a 1% level of significance, test to see if the proportion of voters has changed. Calculate the value of the Chi-Square Test Statistic for this problem. What is it?
In the solution to this problem, what is n? p? q? Does it appear that both np and nq are larger than 5? Why is this an important consideration?
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