Assume there is a 20% chance of an adult American suffering from a psychiatric disorder. Give answers accurate to four decimal places. (a) Find the probability that none of them them suffer from a psychiatric disorder.

b) Find the probability that exactly three of them suffer from a psychiatric disorder.

c) Find the probability that at least one of them suffers from a psychiatric disorder.

d) Find and interpret the mean of the random variable X where X is the number who suffer from a psychiatric disorder among for adult Americans.

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

What is the binomial expansion of (2x-3)^5

The human resources manager at a company records the length, in hours, of one shift at work, x. he creates the probability distribution below. what is the probability that a worker chosen at random works at least 8 hours? probability distribution px(x) 6 hours 7 hours 8 hours 9 hours 10 hours 0.62 0.78 пол