5 people walk into a room in random order. What is the probability that no person...

5 people walk into a room in random order. What is the probability that no person is in correct alphabetical position? For instance, if it is 4 people A, B, C, and D, and they walk in the order B, D, C, A then person C, having walked in 3rd, did have the correct alphabetical position?

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orchestra answered 2 years ago

A man starts a random walk at a lamp post. a)What is the probability he ends...

A man starts a random walk at a lamp post. a)What is the probability he ends up back at the lamp post after 8 steps? b)There is a wall 3 steps down the path. What is the probability he ends up back at the lamp post after 10 steps? Within 3 steps of the lamp post after 10 steps? c)There is a pit of alligators 3 steps down the path. If he takes 10 steps, what is the probability the...

There are 4 people in a room. What’s the probability that there are two people born...

There are 4 people in a room. What’s the probability that there are two people born on the same day of the week? (Assume all birthdays are independent and are uniformly distributed over the seven days of the week.)

Assume the standard deviation is 1.5 hours— What is the probability of a random person in...

Assume the standard deviation is 1.5 hours— What is the probability of a random person in your age group getting less than 6 hours of sleep? What is the probability of a random person in your age group getting between 7 - 9 hours of sleep? What is the probability of a random person in your age group getting more than 9 hours of sleep? Are any of the probabilities in questions 5 - 7 considered unusual? Explain. age group...

Fifteen DVDs are placed on a shelf in random order. a) What is the probability that...

Fifteen DVDs are placed on a shelf in random order. a) What is the probability that you favourite DVD is first or your least favourite DVD is last? b) How would the probability change if you would not want both your favourite DVD to be first and your least favourite DVD last?

what is the proof of random walk occurance ?

Let b > 0 be an integer. Find the probability that a symmetric simple random walk...

Let b > 0 be an integer. Find the probability that a symmetric simple random walk started from 0 visits b the first time in the nth step. Hint: Draw a picture, and try to describe the requirements that the path consisting the first n−1 steps should satisfy. The Reflection principle (or a related result) should be helpful after that.

A group of twenty-seven people is selected at random. What is the probability that at least...

A group of twenty-seven people is selected at random. What is the probability that at least two of them will have the same birthday? (Round your answer to four decimal places.)

The probability that a person is left-handed is 17%. You randomly select three people. What is...

The probability that a person is left-handed is 17%. You randomly select three people. What is the probability that: a) all three are left handed b) none of them are left handed c) at least one of them is left-handed

The distribution function W(x) for a one dimensional random walk gives the probability that an object...

The distribution function W(x) for a one dimensional random walk gives the probability that an object moving randomly in the +x and -x directions is displaced by a distance x after N jumps, each jump of length l. The displacements are normally distributed which means the distribution function is W(x)=(1/sqrt2πσ^2)e^(−(x−<x>)^2)/2σ^2). In the displacement function, <x> is the average displacement <x>=Nl(p−q) and the variance is σ^2=<x^2>−<x>^2=4pqNl2σ^2. The parameter p is the probability of a displacement in the +x direction and q...

What's the probability that in a room of k people, exactly two share the same birthday?...

What's the probability that in a room of k people, exactly two share the same birthday? Assume 365 days (no leap year).

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