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Let X denote the number of heads obtained when a fair coin is tossed 4 times.
(a) What is E(X) and Var(X)?
(b) Repeat 10 times the experiment of tossing a fair coin 4 times and recording the number of heads obtained. You thus obtain a random sample of size 10 from a binomial distribution with 4 trials and p = 1/2. Write down the ten numbers.
(c) Based on your ten observations, estimate the mean and variance of X. Are your estimates close to the theoretical values in part (a)?
Given that both balls selected are white what is the probability that bowl 3 was selected?
Which of the following would produce a new confidence interval with smaller width based on these same data and produce a new confidence interval
Certain stocks are recommended each month by a monthly magazine. If 40% of the stocks recommended advance at least 20%, what is the probability that of the five stocks most recently recommended
Suppose we have run a regression on 48 months of data and the regression equation is Y = 50000 + 1000*x (where x is the month number).
If you have multiple regression output with 2 independent variables and R-Square is .9682, what does R-Square indicate?
Based on a random sample of 2,500 people, the estimates of people by age group unemployed in one Northern city are found in the table. Is the study descriptive or inferential?
a. What is the probability that a randomly selected juror has an IQ score below 120?
The following data set shows the ages of the first 7 presidents and the 7 most recent presidents including President Obama. Find the mean, median, and range for each of the two data sets.
A person claims to have ESP (extrasensory perception). A coin is tossed 16 times, and each time the person is asked to predict in advance whether the coin will land heads or tails.
Estimate a regression model with trend & season dummies to forecast the next year sales:
If the sample mean is 15.2 oz. and the sample standard deviation is 0.40 oz., find the 95% confidence interval of the true mean.
the intelligence quotient iq test scores are normally distributed with a mean of 100 and a standard deviation of 15.
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