Consider the random variable X that follows an exponential distribution, with μ = 20. The standard deviation of X is σ = . The parameter of the exponential distribution of X is λ = . What is the probability that X is less than 10? P(X < 10) = 0.7981 P(X < 10) = 0.2212 P(X < 10) = 0.4908 P(X < 10) = 0.3935 What is the probability that X is between 30 and 35? P(30 < X < 35) = 0.0493 P(30 < X < 35) = 0.3262 P(30 < X < 35) = 0.2231 P(30 < X < 35) = 0.1738

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?

The constitution gives congress the power to create federal courts lower than the supreme court higher than the supreme court equal to the supreme court, unaffected by the supreme court.

Which strategy is used by public health to reduce the incidence of food poisoning?