# Question: Suppose the random variable X has a geometric distribution with a

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)

(a) P(X = 1)

(b) P(X =4)

(c) P(X =5)

(d) P(X < 3)

(e) P(X =3)

## Answer to relevant Questions

The probability of a successful optical alignment in the assembly of an optical data storage product is 0.8. Assume the trials are independent. (a) What is the probability that the first successful alignment requires ...In Exercise 3-66, recall that 20 parts are checked each hour and that X denotes the number of parts in the sample of 20 that require rework. (a) If the percentage of parts that require rework remains at 1%, what is the ...Derive the expressions for the mean and variance of a geometric random variable with parameter p. (Formulas for infinite series are required.)Magnetic tape is slit into half-inch widths that are wound into cartridges. A slitter assembly contains 48 blades. Five blades are selected at random and evaluated each day for sharpness. If any dull blade is found, the ...When a computer disk manufacturer tests a disk, it writes to the disk and then tests it using a certifier. The certifier counts the number of missing pulses or errors. The number of errors on a test area on a disk has a ...Post your question