Math Answers

Given the mean monthly expenditure of students is RM200 with RM1O standard

deviation and the mean weight of the student body is 50 kg with a standard deviation

of 8kg. Compare the two sets of data and determine which are more scattered.

A hospital switch board receives on an average 0.9 calls/minute. Find the probability that (i) no calls in a minute, (ii) 2 or more calls/minute

construct a sampling distribution of the sample mean of the population consisting of the numbers 2 5 8 11 and 14 considering a sample size of 2

Super 6 is one such game. In the game a player selects 6 numbers from 1 – 28. If you match all 6 numbers, you win the Jackpot. If you match 5 out of the 6 numbers, you win $500. If you match 4 out of the 6 numbers, you win $25. There is a separate chamber where you must select 1 of 15 letters from A – O. If you match the correct letter, you win a free ticket.

a) How many possible combinations are there for matching all 6 numbers?

b) What is the probability that if you purchase one ticket that you will win the Jackpot?

c) What is the probability that if you purchase the lottery that you will win exactly $500?

d) What is the probability that if you purchase the lottery that you will win exactly $25?

The average amount of money that a depositor of the Second National City

Bank has in an account in $5000 with a standard deviation of $650. A

random sample of 36 accounts is taken. What is the probability that the

average amount of money that these 36 depositors have in their accounts

is

a. Between $4800 and $5300?

b. Less than $ 4650 and Greater than $5250

c. Greater than $4900

A population consists of the numbers 1, 2, 3, and 4 with the sample size of 2. Compute the population variance.

A population consists of the numbers 1, 2, 3, and 4 with the sample size of 2. what is the mean that has a probability of 2/6 or 1/3 or 0.33?

A population consists of the numbers 1, 2, 3, 4, 5, 6, 7 and 8. If a sample size is 4. how many possible random samples can be drawn from the given population?

Suppose the mean amount of cholesterol in eggs labeled “large” is 186 milligrams, with standard deviation 7 milligrams. Find the probability that the mean amount of cholesterol in a sample of 144 eggs will be within 1.5 milligrams of the population mean.

a. Determine the sets A and B, if A − B = {1, 2, 7, 8}, B − A = {3, 4, 10} and A ∩ B

= {5, 6, 9}.

b. Verify A ∪ (A ∩ B) = A using the rules of set algebra