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Show that
f(x)=(1/2)^(x+1) , x = 0, 1, 2, 3, 4, 5,...
is a valid PMF for a discrete random variable. Also find
out its CDF.
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.
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.
Mean and standard deviation are two common
A. Hypotheses
B. Tool
C. Parameters
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?
In the class of Statistics, there are 75 students in total out of which 55 male, 20 female students. 10 students need to be selected for the occasion of freshers' reception.
a. What is the probability that 4 of the selected students would be girls?
On average, 1.7 students using the Bank Islam ATM machine located outside of UMK Jeli Campus during any 30 minutes interval. Find the probability of exactly 3 students using the Bank Islam ATM machine during any 30 minutes interval.
