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A bag contains 10 red marbles, 5 yellow marbles, and 7 green marbles. If one marble is randomly picked from the bag, what is the probability that this marble is not green?
On a given hunting trip, the probability that a lion will find suitable prey is .80. If it finds the prey, the probability that it will catch it is .1. What then, is the probability that on a given
A large group of people is to be checked for two common symptoms of a certain disease. It is thought that 20% of the people possess symptom A alone, 30% possess symptom B alone, 10% possess both sym
A recent report in USA today indicated a typical family of four spends $490 per month on food. Assume the distribution of food expenditures for a family of four follows the normal distribution, with
A researcher wants to test the association between number of speeding tickets issued and type of car model. A 4 x 5 contingency table was developed and the Chi-square value computed was 15.42. At th
Construct the 98% confidence interval for the proportion of all New York State union members who favor the Republican candidate.
Obtain a sample size that will ensure a margin of error of at most 0.09 for a 90% confidence interval. In previous years, the proportion has been 0.27.
Summary statistics are given for independent simple random samples from two populations. Use the pooled t-test to conduct the required hypothesis test. x1=39.04, s1=18.82, n1=51, x2=49.92, s2=18.97
Use a table of t-values to estimate the P-value for the specified one-mean t-test. Two tailed test, n =26, t= -1.179
If Dana-Farber faculty or staff worker goes in for a TB test, what is the chance of him/her getting a postive test result? What is the positive predictive value of the test?
Find the t-value with n = 30 having area 0.05 to its right.
The monthly earnings of a group of business students are normally distributed with a standard deviation of $594. A researcher wishes to estimate the mean monthly earnings of business students. Find
What is the conditional probability of getting a red ball in the second draw given that a green ball appears in the first? What is the (unconditonal) probabilty of getting a green ball in the seond dr
A survey revealed the amount of pocket money held by each student in a sample of students. The amounts in dollars are: 5.50, 10.20, 3.15, 6.08, 4.85, 4.80, 4.70, 8.52, 7.90, 6.10, 3.50, 5.40, 7.10,
BMI in children is approximately normally distributed with a mean of 24.5 and a standard deviation of 6.2. 1) a BMI between 25 and 30 is considered overweight, what proportion of children are overwe
A real estate agent has 12 properties that she shows. She feels there is a 40% chance of selling any one property during a week. The chance of selling any one property is independent of selling ano
Suppose Y is a data matrix, and Z = YF for some orthogonal matrix F, so that Z is a rotated version of Y. Show that the variances of the principal com- ponents are the same for Y and Z. (This result
Assume the random variable has a binomial distribution with the given probability of obtaining a success.
If the last digit of a weight measurement is equally likely to be any of the digits 0 through 9. Round your answers to one decimal place (e.g. 98.7).
Orders for a computer are summarized by the optional features that are requested. The proportion of orders with no optional features is 0.36. The proportion of orders with one optional feature is 0.
Compute the coefficient of determination. Round your answer to four decimal places. A regression equation is obtained for a set of data points. It is found that the total sum of squares is 117.0, th
Lambda Computer Products competed for and won a contract to produce two prototype units of a new type of computer that is based on laser optics rather than on electronic binary bits.
Given that the random variable X has the following cumulative distribution function F(x) = 1 - e-x, for x > 0. Find the probability density function, f(x), for the random varaible X
The budgeting process for a midwestern college resulted in expense forecasts for the coming year (in $ millions) of $9, $10, $11, $12, and $13. Because the actual expenses are unknown, the following
Rolling a fair eight sided dice produces a uniformly distributed set of numbers between 1and 8 with a mean of 4.5 and a standard deviation of 2.291. Assume that n eight sided dice are rolled many ti