Questions from Applied Statistics

Q: Determine the cumulative distribution function of a binomial random variable with n

Determine the cumulative distribution function of a binomial random variable with n = 3 and p = 1/4.

Q: An electronic product contains 40 integrated circuits. The probability that any

An electronic product contains 40 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the integrated circuits are independent. The product operates only if there...

Q: Amultiple-choice test contains 25 questions, each with four answers

Amultiple-choice test contains 25 questions, each with four answers. Assume that a student just guesses on each question. a. What is the probability that the student answers more than 20 questions cor...

Q: Samples of rejuvenated mitochondria are mutated (defective) in 1%

Samples of rejuvenated mitochondria are mutated (defective) in 1% of cases. Suppose that 15 samples are studied and can be considered to be independent for mutation. Determine the following probabilit...

Q: Heart failure is due to either natural occurrences (87%) or

Heart failure is due to either natural occurrences (87%) or outside factors (13%). Outside factors are related to induced substances or foreign objects. Natural occurrences are caused by arterial bloc...

Q: A computer system uses passwords that are exactly six characters and each

A computer system uses passwords that are exactly six characters and each character is one of the 26 letters (a–z) or 10 integers (0–9). Suppose that 10,000 users of the system have unique passwords....

Q: In 1898, L. J. Bortkiewicz published a book titled

In 1898, L. J. Bortkiewicz published a book titled The Law of Small Numbers. He used data collected over 20 years to show that the number of soldiers killed by horse kicks each year in each corps in t...

Q: Samples of 20 parts from a metal punching process are selected every

Samples of 20 parts from a metal punching process are selected every hour. Typically, 1% of the parts require rework. Let X denote the number of parts in the sample of 20 that require rework. A proces...

Q: Because all airline passengers do not show up for their reserved seat

Because all airline passengers do not show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is 0....

Q: This exercise illustrates that poor quality can affect schedules and costs.

This exercise illustrates that poor quality can affect schedules and costs. A manufacturing process has 100 customer orders to fill. Each order requires one component part that is purchased from a sup...