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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.
Find the percentage of men meeting the hight requirement is. If the height requirements are changed to exclude on tallest 5% of men and the shortest 5% of women what are the new height requirements
For the following claim find the null and alternative hypothesis, test statistic, P=value, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normall
Let X and Y be independent random variables with X~ exp(2) and Y~exp(3) where the pdf of an exponential random variable is f(x)=(1/beta)e^-x/beta. Compute P(X<Y) and P(Y<X)
Identify the null hypothesis, alternative hypothesis, test statistic, p-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the {-value method. U
A social researcher believes the color red causes men's attraction to women to increase as well as women's attraction to men. The color does not appear to have an effect on same sex attractions. A s
A researcher wishes to conduct a study on the self-esteem levels of adolescents. She believes that male adolescents have higher self-esteem than female adolescents.
The joint probability mass function of X and Y, p(x,y), is given by
In a study of 1000 two parent families, a researcher found the mean height of the husbands was 68 inches with a standard deviation of 2.7 inches. The mean height of the wives was 63 inches with a st
You are in charge of resucing the water consumption in a dormitory at a University, and, thus, have been charged with evaluating how long it takes students to shower.
An experiment was conducted to determine the performance of two varieties of wheat at seven randomly chosen farms. Two fields are set up at every farm, and yield of the crop was measured.
The random variable X has a binomial distribution with parameters p=0.20 and p=0.156. Use an appropraite distribution to calculate an approximate value for the probability P(X=17).Show work and expl
Suppose 60% of the people in town will get exposed to flu in the next month. If you are exposed and not inoculated then the probability of getting the flu is 80%,