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A jar contains 9 red marbles numbered 1 to 9 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability that the marble is blue AND even-numbered.
Let X be random variable with the probability density function
fn(x) ={cxn(1−xn) , 0≤x≤1
{0, otherwise.
1) Find the value of c.
2) Determine E[X] .
3) What happens to E[X] for large n?
4) Determine E[X2]
5)What happens to E[X2] for large n?
6)What happens to Var(X) for large n?
A die is rolled and then a coin is tossed.
a. Determine how many different outcomes are possible.
b. Construct a tree diagram to list all of the possible outcomes.
. Suppose two medical doctors, A and B, test all patients coming into a clinic for cancer. Let events A+ = {doctor A makes a positive diagnosis} and B+ = {doctor B makes a positive diagnosis}. Suppose doctor A diagnoses 15% of all patients as positive, doctor B diagnoses 23% of all patients as positive, and both doctors diagnose 8% of all patients as positive. a) What is the probability that either doctor A or B makes a positive diagnosis? b) What is the probability that doctor B makes a positive diagnosis of cancer given that doctor A makes a positive diagnosis?
Mean and standard deviation are two common
A. Hypotheses
B. Tool
C. Parameters
D. None of the above
Rina is healthy when, in fact she failed in medical test.
A. Type I
B. Type II
C. Both A and B
D. None of the above
An association of City Mayors conducted a study to determine the average number of times a family went to buy necessities in a week. They found that the mean is 4 times in a week. A random sample of 25 families were asked and found a mean of 5 times in a week and a standard deviation of 2. Use 1% significance level to test that the population mean is greater than 4 hours. Assume that the population is normally distributed.
An association of City Mayors conducted a study to determine the average number of times a family went to buy necessities in a week. They found that the mean is 4 times in a week. A random sample of 20 families were asked and found a mean of 5 times in a week and a standard deviation of 2. Use 5% significance level to test that the population mean is not equal to 5. Assume that the population is normally distributed. What should be the decision for the hypothesis?
Given the standardized normal distribution (with a mean of 0 and a standard deviation of 1, as in Table E.2). What is the probability that Z is greater than 1.08?
A soda manufacturer is interested in determining wheter its bottling machine tends to overfill. Each bottle is supposed to contain 12 ounces of fluid. A random sample of 25 bottles was taken and found that the mean amount of soda of the sample of bottles is 12.2 ounces with a standard deviation of 0.4 ounces. If the manufacturer decides on a significance level of 0.05 test, should the null hypothesis (u=12 ounces) be rejected?
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#339914 on Dec 2023