## Random Variable Resources continous randon variable

Suppose that the number of cars X that pass through a car wash between 4:00 P.M and 5:00 P.M on any sunny Friday has the following probability distribution(table down below):     ... Which is more likely: 9 heads in 10 tosses of a fair coin or 18 heads in 20 tosses?

which is more likely: 9 heads in 10 tosses of a fair coin or 18 heads in 20 tosses The mean cost to attend a school is \$42,000 per year. Assume the population standard deviation is \$14,000.

The standard error of the sample mean is calculated to \$1,475.73. The president wants to be able to estimate mean cost to within \$1,500 of the true population mean with a probability of 80%. How many... Computing probabilities for random variables (Lebesgue measure)

Suppose that (Ω, F, P) is Lebesgue measure on the interval [0, 1] Define random variables X(ω)=ω, Y(ω)=2ω+3 and Z(ω)=4ω+1 Compute P(X < b ∩ Y < c) and P(Z > a) as... Convergence and Random Variables

With the Sample space being [0,1], suppose we are looking at a sequence of random variables Xn defined by Xωn = ωn . How can we prove that Xn converges to 0 in probability? And also what is its... Probability, Random Variables

Four red cards and four green cards are well shuffled. Cards are drawn, without replacement, until the color of a card drawn matches the color of the first card drawn. Find the average number of cards... Is there a way to calculate the probability of one missing work (a random occurrence) out of an eleven year time span?

I have an employee who has missed work twice in eleven years. I'm wondering if there is a way to show the probability of a random error like this occuring. Im not sure what information I may still... how do I calculate the probability X1 > X2 where X1 and X2 are independent, normally distributed random variables?

how do I calculate the probability X1 > X2 where X1 and X2 are independent, normally distributed random variables? Expected Value

Draw 5 cards at random from the deck. For sums < 8 you win double that sum in dollars. For 8 ≤ sum ≤ 20 you lose half your sum in dollars. If sum > 20, you lose total sum in dollars. Find the... Expected Value

Draw 5 cards at random from the deck. For sums < 8 you win double that sum in dollars. For 8 ≤ sum ≤ 20 you lose half your sum in dollars. If sum > 20, you lose total sum in dollars. Find the... Random Value

Draw 5 cards at random from the deck. For sums < 8 you win double that sum in dollars. For 8 ≤ sum ≤ 20 you lose half your sum in dollars. If sum > 20, you lose total sum in dollars. Find the... Introduction to Probability Distributions - Random Variables A random variable is defined as a function that associates a real number (the probability value) to an outcome of an experiment. In other words, a random variable is a generalization of the outcomes or events in a given sample space. This is possible since the random variable by definition can change so we can use the same... read more Variance and Standard Deviation of a Random Variable We have already looked at Variance and Standard deviation as measures of dispersion under the section on Averages. We can also measure the dispersion of Random variables across a given distribution using Variance and Standard deviation. This allows us to better understand whatever the distribution represents. The Variance... read more