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What is the probability of having a Republican majority? If this special group of Republicans and Democrats contains 10 women and 5 men, what is the probability of forming this five member committee
The mean score of the first calculus exam was 81%. The standard deviation was 12%. Find the smallest interval about the mean that contains at least 71% of the scores.
Suppose we watch the price of the Dow Jones Industrial Index for three days. Write down the sample space for this experiment.
If the heights for a certain type of cereal and box have a normal(12,0.5) distribution in units of inches, what is the chance that a randomly chosen cereal box has a height of 10.7 inches or less?
If we roll a pair of fair 6 sided die, let Z denote the max (largest) of the outcomes on the two dice. Construct the probability distribution of Z and compute its expected value.
For this population find the probability that a randomly chosen foot is less than 26 centimeters long? What is the 95th Percentile?
A real number X is drawn at random from the interval (0,1). A rectangle is formed with sides X and (1-X). Denote the area by Y = X*(1-X).
Suppose that, on average, a baseball player gets a hit once every three times she bats. What is the probability that she gets four hits in four at bats?
If p = .05, the critical value for rejecting the null hypothesis is
The research hypothesis for this question is that the mean anxiety level of the students who participate in the workshops will be _____ those who do not.
What is the prior probability of the bid being successful (that is, prior to the request for additional information)? What is the conditional probability of a request for additional information given
A psychologist is conducting a study in which 30 students attend workshops by the speaking center for one hour per week over six weeks to reduce anxiety about public speaking. It is known that anx
1. A committee consisting of 3 people is drawn randomly from a room which contains 25 males and 15 females. Let X be the number of females on the committee. So X has range 0, 1, 2, and 3. Find the
Find the probability that the utility is less than $80. Find the probability that the utility is between $80 and $115. Find the probability that the utility is more than $115 inches.
What is the probability an employee will experience a lost-time accident in both years (to 3 decimals)? What is the probability an employee will experience a lost-time accident over the two-year perio
Consider a string of Bernoulli trials with probability of success equal to p and let Y1 be the number of trials untial the first success and Y2 be the number of trials untial the second success.
The syllabus suggests that the top 15% of the students will get an A in the course. What is the minimum score required to get an A? Please round to an integer number.
Final averages are typically approximately normally distributed with a mean of 71 and a standard deviation of 8. Your professor says that the top 7% of the class will receive an A; the next 20%, a B
The resulting "life" data from Rayovac batteries had a mean of 20.9 hours. Assume these values have a normal distribution with a standard deviation of 1.3 hours. (Give your answers correct to four d
Let X1, X2, X3 be three independent random variables with binomial distributionsb(4, 1/2), b(6, 1/3), b(12, 1/6), respectively.Find
What is the distribution of theta given these observations? What is the mean of the prior distribution? To 4 decimals, what is the mean of the posterior distribution? Why does the relationship betwee
1. Why are Z scores most often written with two decimal places? 2. What is the Z score for a X value one standard deviation below the mean?
Compute the percentage of the normal curve located at or above each of the following z values.
Using the table of critical --values of the t distribution, find the range of values for the P-value for testing a claim about the mean body temperature of healthy adults for a left-tailed test wit
Calculate the lower limit of an approximate 99% confidence interval for the underlying probability (not the underlying percentage ) of answering NO. Show full work.