11 Answered Questions for the topic Random Variable

Random Variable

04/04/17

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
Random Variable Probability Lebesgue Measure

03/22/16

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+1Compute P(X < b ∩ Y < c) and P(Z > a) as functions of a, b, c ∈ R
Random Variable

12/16/15

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... more

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... more
Random Variable Math Probability Math Help

05/03/15

Compute Pr(Z<-1.54)

Suppose that Z is a standard normal random variable. Compute Pr(Z<−1.54).(If needed, round answers to 3 decimal places)
Random Variable Statistics Homework Tips

03/20/15

For a standard normal random variable z, find

a) P[Z< .62] b) P[Z < -.62] C) P[Z> 1.59] D) P[-1.3< Z< 2.61] E) P[|Z| < 1.65]

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... more

11/23/14

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?
Random Variable Expected Value

11/16/14

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... more
Random Variable

04/30/14

two marbles are drawn from a bag in which there are 4 red marbles and 2 blue marbles; the number of blue marbles is counted.

two marbles are drawn from a bag in which there are 4 red marbles and 2 blue marbles; the number of blue marbles is counted.
Random Variable

09/01/13

define mean and variance?

mean and variance definition in random variable in probability

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