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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 school principal claims that 40% of Grade 3 pupils stay in the
playground after their classes. A survey among 500 Grade 3 pupils
revealed that 150 of them stay in the playground after their classes.
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 researcher of a cardboard manufacturing company would like to know the estimated thickness of the cardboard a machine produces How many cardboards should he measure if he wants to be 99% confident that the estimate is accurate to 1 mm. Study shows that the standard deviation is 3mm
The average time it takes a group of Senior High School students to complete a certain examination is 48.2 minutes. The standard deviation is 7 minutes. If 45 randomly selected college student take the examination, what is the probability that the mean time it takes the group to complete the test between 46 and 49 minutes?
Given a die, it has 6 faces in which each face has either dot/s of 𝑥=1,2,3,4,5 𝑎𝑛𝑑 6. Given it as the population, consider sample of size 𝑛=3. Find the population mean, population variance, population standard deviation, the mean, variance and standard deviation of the sampling distribution of the sample mean and illustrate its probability histogram of the sampling distribution of the sample means.
