A population consists of value (2,3,5). Consider all possible samples of size n=2 that can be drawn with resplacement from this population
A government agency is investigating a complaint from some concerned citizens who said that there is short-weight selling of rice in a certain town. An agent manufacturer took a random sample of 20 sacks of "50 kilo" sacks of rice from a large shipment and finda that the mean weight is 49.7 kilogram with the standard deviation of 0.35 kilogram. The level of significance is 0.01
A poster is to have an area of 630 cm2 with 2.5 cm margins at the bottom and sides and a 5 cm margin at the top. Find the exact dimensions (in cm) that will give the largest printed area.
width : cm
height: cm
The probability of success on any trail of a binomial experiment is 25%. Find the probability that the proportion of successes in a sample of 1000 is between 22% and 28%.
There are 6 people to be arranged in a line for a concert. How many
arrangements are possible?
2 In a medical study, patients are classified in 8
ways according to whether they have blood type AB+,
AB−, A+, A−, B+, B−, O+, or O−, and also according to whether their blood pressure is low, normal, or
high. Find the number of ways in which a patient can
be classified.
Bryan’s father is now twice as old as Bryan is. His father was four times as old as him 16 years ago. How old is his father now?
Prove by PMI for 2^n+1>2n+1
A population consists of values (2, 3, 5). Consider all possible samples of size n=2 that can be drawn with
replacement from this population.
a. Find the mean of the population
b. Find the standard deviation of the population.
c. Find the mean of the sampling distribution of means.
d. Find the standard deviation of the sample distribution of means.
e. Construct the probability histogram of 𝑥̅ with replacement.
How many two-digit numbers can be formed from the digits 1, 2, 3 and 4 if
a. no digit is repeated in any number?
b . repetitions are allowed?