Search to-find-probability-of-failure

# To find probability of failure

## Top Questions

rd deviation of 3.2 hours. A sample of 35 high school seniors is selected. Find the following values, if possible. Please round your answers to four decimal places. If you should not find a probability, please write NA for your answer. What is the probability that the sample mean studying time is between 4 and 5 hours? What is the probability that the sample mean studying time is less than 6 hours? What is the probability that the sample mean studying time is more than 8.5 hours?
View More

When selecting one card from a standard deck, what is the probability of selecting a Jack AND a Club? An urn contains 10 red balls, 6 green balls, 15 orange balls, and 14 blue balls. If one ball is randomly drawn from the urn, what are the odds against the ball being green? The odds against an event are 7 to 1. Find the probability that the event will occur? The probability of an event is 7/10. Find the odds against that event.
View More

of Sport-Equip Ltd, a company that sells sports equipment. Some of the users who visit the website end up buying sports equipment from the website while others are simply browsing in order to obtain product information. (a) Clearly explain and justify which probability distribution you would use to describe the number of Internet users who visit the website of Sport-Equip Ltd in a one hour period. [There is no need to calculate any probabilities for this part of the question] (5 marks) (b) What is the probability that during any half-hour period, there will be less than 3 visitors to the website? (5 marks) (c) What is the probability that during any two-hour period, there will be more than 15 visitors to the website? (5 marks) (d) If a user has just visited the website, find the probability that the website will have another visitor within the next 10 minutes. In your answer, state the probability distribution you have used and explain your choice. (4 marks) (e) It is estimated that 40% of Internet users who visit Sport-Equip Ltd’s website buy a product from the company. If 100 users visit the website over a given period of time, find the probability that more than 50 of them will buy a product from the company. In your answer, state the probability distribution you have used and explain your choice
View More

or is noted. Find the probability that neither is white given that neither is red.Round your answer to 4 decimal places A place kicker in the NFLmakes 78% of his field goals. If the outcomes are independent, what is the probability that he makes exactly 6 of the next 8 field goals? Round your answer to 4 decimal places There are 5 white mice and 3 gray mice in a cage. Three mice are selected at random and their colors are noted. Find the expected number of white mice.Round your answer to 2 decimal places
View More

ty distribution: x 3 5 8 10 pX(x) k k k 2k i. Determine the constant k and hence write down the probability distribution of X. ii. Find E(X), the expected value of X. iii. Find Var(X), the variance of X.
View More

y aces or twos, you lose the game immediately. You also lose if you draw picture cards(J,Q,K) more than twice. In this question, you’ll study the probability of winning this game.(a) What is the probability of drawing no aces or twos after thirteen draws?(b) Given you have drawn thirteen times, none of which is aces or twos, what is the probability that you draw at most two picture cards?(c) What is the probability to win this game? 12. Suppose you are tossing an unbiased coin for100times.(a) What is the probability of getting50heads and50tails?(b) LetXbe the random variable counting the number of heads you observe in this exper-iment. What is the expected value ofX? What is the variance ofX? What is thestandard deviation ofX? 13. The following are probability distributions for two random variablesX,Y. kPr(X=k) 0,0.4 1,0.3 2,0.3 kPr(Y=k) 0,0.5 1,0.3 2,0.2 (a) Construct the probability distribution table for the random variableXY.(b) Find E[X],E[Y] and E[XY]. Is is true that E[XY] =E[X]E[Y]?(c) Find the variances σ2X,σ2Y,σ2XY of X,Y and XY. Is it true that σ2XY=σ2Xσ2Y? 14. The aliens who are fond of gambling came back to play another game with you. In this game, you first toss a coin5times. If you observe3or fewer tails, you roll a die3times. If youobserve4or more tails, you roll a die20times. What is the probability that you end up with at most two6’s in your dice rolls? 15. (Challenge question, worth2points) You have two bags, each of which contains10marbles.Each time you remove a marble from a random bag. What is the probability that after one of the bags is emptied, there are still exactly3marbles in the other bag?
View More

hout replacement, find the probability that the balls have the same number. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
View More

- 1); I{x>1}, theta > 1. (a) Show that log Xi has an exponential distribution with a mean of 1/theta. (b) Find the form for a UMP test of H_0: theta <= theta_0 vs. H_a : theta > theta_0. (c) Give formula for nding the rejection region for a given value of alpha. Hint: use the result from (a) to fi nd the distribution of the test statistic. (d) Conduct the test in (b) with alpha = 0.05 and theta_0 = 1:5 using the dataset: {1.2, 2.4, 1.3, 1.7, 1.9}. (e) Find the form of a UMPU test for testing H_0 : theta = theta_0 vs. H_a : theta_0 != theta_0. (f) Use the data in (d) to conduct the test in (e) with alpha = 0.05 and theta_0 = 1.5.
View More

1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics