5,385 Answered Questions for the topic probability

Probability Math

12/07/20

Proof of independence of random variables X and Y

Prove that random variables X and Y are independent if and only if FX,Y(x,y) = FX(x)FY(y)
Probability

12/06/20

Bernoulli's theorem, probability

In an exam, candidates fail with a chance of p = 0.6, (and pass with a chance of q = 1 - p = 0.4).A total of 90 are taking the exam.We would like to estimate p based on Bernoulli's theorem.What is... more
Probability Math Geometry Math Help

12/04/20

geometry probabllity

in contract negotiations between a local government agency and its workers, it is estimated that there is a 50% chance that an agreement will be reached on the salaries of its workers. it is... more
Probability Math Statistics

12/04/20

Probability, queing problem

N ski slopes meet at the bottom of a valley, the lifts to the slopes are here in one place, there are waiting lines for the lifts.After how many laps are we expected to ski on the most difficult... more
Probability

12/03/20

An urn contains 8 white and 3 red balls.if two ball are drawn at random, find the probability of both are white,both are red and one is of each colourr

An urn contains 8 white and 3 red balls.If two balls are drawn at random . Find the probability of both are white,both are red, and one is of each colour
Probability Statistics

12/03/20

Suppose there are 8 green tags, 12 white tags and 4 red tags left to use as name tags at a conference...

Suppose there are 8 green tags, 12 white tags and 4 red tags left to use as name tags at a conference. If tags are given out randomly at the registration desk,a) what is the probability that the... more
Probability Statistics

12/02/20

Probability Question

In an office, there are three secretaries, four accountants, and two receptionists. If a committee of three is to be formed, find the probability that one of each will be selected.
Probability

12/01/20

Probability, How many four-letter words can be made from the 10 letters "ABCDEFGHIJ"?

If repetition is allowed:If repetition isn't allowed:Each word must begin with an 'A' and letters can be repeated:
Probability

12/01/20

Distribution and Statistics

A two-year investment breaks even at the end of two years but yielded a 36% loss in the first year. Find the average annual rate of return for this investment.____%Any help is much appreciated.
Probability Math

12/01/20

What is the Probability

For a few weeks, a music producer kept track of newly released songs on a music streaming website. He recorded the music genre and number of times the song was played on its... more
Probability

11/30/20

Probability without replacement

1.A jar contains 4 red balls and 7 blue balls. Two balls are drawn at random from the jar without replacement. What is the probability that exactly one of the balls is red.2. A jar contains 5 red... more
Probability

11/28/20

Expected value, CDF

Suppose we have a positive, continuous probability variable X, the following expression for the variable does not depend on s: E (X − s | X ≥ s), where E( ) Is the expected value.What is the... more
Probability

11/27/20

Choosing given number of items from different subsets

A gathering is attended by A women and B men.Women individually, independently of each other, have a p probability of getting to know each other, while men's chance of getting to know each other is... more
Probability Statistics

11/26/20

reccurence relation

Suppose that an and bn are both solutions to a recurrence relation of the form xn = αxn-1 + βxn-2. Prove that for any constants c and d, c an + d bn is also a solution to the same recurrence... more
Probability Statistics Reccurence

11/26/20

Probability .

solve the given reccrence relation problemxn = xn-1 + 2n , x0 = 5
Probability

11/26/20

Given the Equation

Solve the following recurrence relationsxn = 2xn-1+xn-2-3xn-3, x0=2, x1=1, x2=4
Probability Math Statistics

11/25/20

If 8 pairs of fair dice are rolled, approximate the probability that the sum of the values obtained (which ranges from 16 to 96) is between 30 and 40 inclusive.

If 8 pairs of fair dice are rolled, approximate the probability that the sum of the values obtained (which ranges from 16 to 96) is between 30 and 40 inclusive.
Probability Math Statistics

11/25/20

what is the approximate probability that fewer than 175 chips will be defective?

Question 5 [12 marks] Each computer chip made in a certain plant will, independently, be defective with probability .2. If a sample of 1,000 chips is tested, what is the approximate probability... more
Probability Math Statics

11/25/20

Consider the following data on the diameter of a rivet. Assume a normal population.

Consider the following data on the diameter of a rivet. Assume a normal population. 6.68 6.66 6.62 6.72 6.76 6.67 6.70 6.72 6.78 6.66 6.76 6.72 6.76 6.70 6.76 6.76 6.74 6.74 6.81 6.66 6.64 a)... more
Probability

11/25/20

The amount of time to complete a physical activity in a PE class is approximately normally normally distributed with a mean of 37.3 seconds and a standard deviation of 5.6 seconds.

The amount of time to complete a physical activity in a PE class is approximately normally normally distributed with a mean of 37.3 seconds and a standard deviation of 5.6 seconds.  What is the... more
Probability Math Statistics

11/25/20

what is the approximate probability that fewer than 175 chips will be defective?

Each computer chip made in a certain plant will, independently, be defective with probability .2. If a sample of 1,000 chips is tested, what is the approximate probability that fewer than 175... more
Probability Statistics

11/24/20

C(20, 8) = 20! ÷ [(8)!*(12)!] =

A caterer offers 20 different types of dessert. In how many ways can 8 of them be chosen for a banquet if the order doesn’t matter?

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