If 4 cards are dealt from a standard deckof 52 playing cards, what is the probability that
3 will be diamonds?
Using Hypergeometric Distribution
the sample population is normally distributed, ¯x=42.5, σ = 3, and n = 30. What is the 90% confidence interval for µ?
1. The average number of milligrams (mg) of cholesterol in a cup of a certain brand of ice cream is
660 mg, the standard deviation is 35 mg. Assume the variable is normally distributed. a. If a cup of
ice cream is selected, what is the probability that the cholesterol content will be more than 670 mg?
Random samples of size n-2 are drawn from a finite population consisting of the following numbers 5,6,7,8, and 9.
a. How many possible outcomes are there? b. List all the possible samples and the corresponding mean for each.
sample.
c. Construct the sampling distribution of the sample means.
Consider all samples of size 5 from this population: 2 5 6 8 10 12 13
a) Compute the mean (μ) and standard deviation (σ) of the population.
b) Calculate the mean and the standard deviation of the sampling distribution of the sample means.
A random variable X is normally distributed with a mean of 45 and standard deviation of 3.If the area to the right of Z is 0.9292, what will be the value of its random variable X
A random variable X is normally distributed with a mean of 45 and standard deviation of 3. What is the value of the random variable X if the area to the left of Z is 0.1255
The distribution of the binomial random variable (X) has the following parameters p = 0.3 and n = 9. Determine standard deviation
How many samples of size n=3 can be selected from a population with the following sizes: N=4, N=8, N=20, N=50? A population consists of the five numbers 2, 3, 6, 8 and 11. Consider samples of size 2 that can be drawn from this population.
Two students are to be selected at random from a class with 10 girls and 12 boys. What is the probability that both will be girls, if selected
a) With replacement
b) Without replacement