The life X (in years) of a voltage regulator of a car has the p.d.f. a) What is the probability that this regulator will last at least 7 years? (b) Given that it has lasted at least 7 years, what is the conditional probability that it will last another 3.5 years?

The life X (in years) of a voltage regulator of a car has the p.d.f. a) What is the probability that this regulator will last at least 7 years? (b) Given that it has lasted at least 7 years, what is the conditional probability that it will last another 3.5 years?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 5 digits long, and that each digit could be a number between 0 and 6. Assume that the hacker makes random guesses. What is the probability that the hacker guesses the password on her first try? Round to six decimal places. Probability =
In major league baseball, a no hitter is a game in which a pitcher, or pitchers, doesn't give up any hits throughout the game. No hitters occur at a rate of about three per season. Assume that the duration of time between no hitters is exponential. a. what is the probability that an entire season elapses with a single no-hitter? b. If an entire season elapses without any no hitters, what is the probabilty that there are no no hitters in the following season? c. What is the probabilty that there are more than 3 no hitters in a single season?
A professor of management has heard that eleven students in his class of 37 have landed an internship for the summer. Suppose he runs into two of his students in the corridor. a. Find the probability that neither of these students has landed an internship. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) b. Find the probability that both of these students have landed an internship.
The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 16-year period. Assume each year is independent. Part (a) Part (b) List the values that X may take on. X=0, 1, 2,..., 15, 16 OX= 1, 2, 3, OX= 1, 2, 3, OX=1,2,3,... 15, 16 98, 99, 100 Part (c) Give the distribution of X X-B 0.02 □ Part (d) How many audits are expected in a 16-year period? (Round your answer to two decimal places.) 0.32 audits Part (e) Find the probability that a person is not audited at all. (Round your answer to four decimal places.) Part (1) Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)
The probability of afternoon rain given morning cloud cover >50% is of interest to those forecasting the weather. You can calculate this probability using Bayes' Theorem (below). The probability of morning cloud cover in general is 30% in the area you are concerned with and when there's afternoon rain, morning cloud cover of the kind described above occurs 90% of the time. The probability of rain in general for the area is about 26% of days. From the above information, identify what P(BIA) would be. Express your answer as a proportion, rounded to two decimal places. P(A/B)= = P(B|A)*P(A) P(B)
??
None
Find the probability P(Ec) if P(E)=0.17.
A student is working on a homework assignment with 5 questions. Each question on the assignment has 3 possible choices, which the student chooses from at random. Assuming that the answers are independent of each other, what is the probability that the student answers all the questions correctly? Report your answer to the 4th decimal place, that is, 0.0025 instead of 0.003.
A survey found that people keep their automo- biles an average of 3.2 years. The standard de- viation is 0.82 year. If a person enters an automobile dealer's store, find the probability that 7 the person has owned the automobile the fol- lowing amount of time 18- a. Less than 1 year b. Between 2 and 3 years c. More than 3 years