# Question: The lengths of plate glass parts are measured

The lengths of plate glass parts are measured to the nearest tenth of a millimeter. The lengths are uniformly distributed, with values at every tenth of a millimeter starting at 590.0 and continuing through 590.9. Determine the mean and variance of lengths.

## Answer to relevant Questions

Suppose that X has a discrete uniform distribution on the integers 0 through 9. Determine the mean, variance, and standard deviation of the random variable Y _ 5X and compare to the corresponding results for X.The random variable X has a binomial distribution with n = 10 and p = 0.5. Determine the following probabilities: (a) P(X =5) (b) P(X < 2) (c) P(X > 9) (d) P(3 < X The phone lines to an airline reservation system are occupied 40% of the time. Assume that the events that the lines are occupied on successive calls are independent. Assume that 10 calls are placed to the airline. (a) What ...Suppose the random variable X has a geometric distribution with a mean of 2.5. Determine the following probabilities: (a) P(X = 1) (b) P(X =4) (c) P(X =5) (d) P(X < 3) (e) P(X =3)Suppose that X is a negative binomial random variable with p _ 0.2 and r _ 4. Determine the following: (a) E(X1) (b) P(X =20) (c) P(X =19) (d) P(X =21) (e) The most likely value for XPost your question