Two machines- a drill, and a grinder operate independently of each other. Their utilization are: drill 80%, grinder 70%. (show your work) (a) What is the probability of both machines being in use? (b) What is the probability of both machines being idle?

Two machines- a drill, and a grinder operate independently of each other. Their utilization are: drill 80%, grinder 70%. (show your work) (a) What is the probability of both machines being in use? (b) What is the probability of both machines being idle?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...

See similar textbooks

Related questions

Q: skittle on the second

A: Candies Blue 15 Orange 16 Yellow 12 Red 14 Green 5 Total candies are 62 Conditional…

Q: Morgan buys a bag of cookies that contains 4 chocolate chip cookies, 6 peanut butter cookies, 8…

A: The probability formula is, Probability=Favourable outcomesTotal outcomes A bag contains totally 27…

Q: what is the probability of the event (X < }, Y < })?

Q: A grade school boy has six blue and five white marbles in his left pocket and five blue and six…

A: Probability of drawing a blue marble from left pocket is = 6/11 Probability of drawing a white…

Q: You toss a fair coin three times: What is the probability of three heads, HHHHHH? What is the…

A: You toss a fair coin three times:

Q: Two fair coins are tossed. What is the probability that both land heads up?

A: When a coin is tossed then there are 2 possible outcomes Head and tail. Let us denote H=head and…

Q: A child mixes 10 good and three dead batteries. To find the dead batteries, his father tests them…

Q: The finance class has 11 students, what are the odds that all 11 students are men? what is the…

A: Odds in favor of an event is defined as the ratio of the number of outcomes favorable to that event…

Q: How do you know if a probability is mutually exclusive or not?

Q: If X and Y are independent, then what is the probability of the event Y > 4X?

A: Iy is given that X follows U(0,1), then pdf of X is f(x) = 1, 0 < x < 1 And Y follows U(0,2)…

Q: 1.)How is probability used in daily life? 2.)what will you do to increase the probability of…

A: Probability and statistics are the mathematics used to understand chance and to collect, organize…

Q: What is the probability that one orders a meal that does not have juice?

A: Question 23: There are three main Couse, two side dish, and two drinks. The total possible outcomes…

Q: In a single throw of two dice, what is the probability of getting the same numbers on both dice?

Q: the director of a film festival received 8 submissions, 5 of which were silent films. If the…

Q: Finally expected loss

Q: b) You roll two fair dice, what is the probability of getting a sum of 10 or more?

A: Roll two fair dice, what is the probability of getting a sum of 10 or more S = { (1,1), (1,2),…

Q: If math. Professor receives on average of 5 e-mail messages per day from Students, then the…

Q: How is the probability of a combination (HH, HT, or TT) related to probabilities of its components…

A: Given: A combination of two coin tosses (HH, HT, or TT). In a coin toss, the possible outcomes are:…

Q: What's the probability that she eats ramen tomorrow?

Q: Columbia University has 2 major undergraduate divisions. Columbia College and Barnard college.…

A: Probability Probability refers to the likelihood of a stochastic event's outcomes. It consists of…

Q: What is the importance of probability?

A: Probability The ratio of the number of outcomes favorable for the event to the total number of…

Q: If Timothy rolled a pair of dice, what is the probability that both would be "5"?

Q: adrian has 5 keys on a key chain and one of the keys is used to unlock his office door. if adrian…

Q: If the probability of being hit by lightning is 1 in 1,000,000, what is the probability of not…

A: Given that , P (being hit by lightning) = 1/1000000 =0.000001

Q: What is the theoretical probability of flipping 3 coins at once, and all of them landing as "heads"?…

Q: In terms of probability, what does it mean to say that two events are independent?

A: Two events are independent , if we know that occurrence of one event does not affect the probability…

Q: oxnard petro limited is buying hurricane insurance for its off-coast oil drilling platform. During…

Q: What is the probability of being dealt a pair of aces in a five-card hand ?

A: In theoretical approach, if an experiment has n simple outcomes, this method would assign a…

Q: What is the probability that a randomly selected student prefers the arts or does not prefer…

Q: On the average, two tornadoes hit major U.S. metropolitan areas every year. What is the probability…

A: Poisson random variable is the number of events that occur in a time interval. So poisson…

Q: When you wake up in the morning and decide to go to class to learn something what type of…

A: In this case, we need to identify the type of probability.

Q: Oxnard Petro LTD is buying hurrican insurance for its off-coast oil drilling platform. During the…

A: From the provided information, The probability of total loss of only above-water superstructure…

Q: About one-fifth of the population of a town has blue eyes. About two-sevenths of the population has…

Q: What is the probability of selecting a student whose favorite sport is skiing? What is the…

A: Note : According to our guidelines we are solving only first three sub-parts of a question and the…

Q: What is probability and why would one want to find the probability of an event that has not occurred…

A: What is probability and why would one want to find the probability of an event that has not occurred…

Q: What is the probability of a dice showing a 2 or 5?

A: A dice is rolled.

Q: = a girl plays soccer, what is the probability that she also plays basketball?

A: Given, To find the probability of a girl plays soccer and also plays basketball

Q: If you play, what is the probability that: You get at least one skull ?

A: here given, there are total 3 wheel each wheel stop on single symbol, here outcome on each wheel…

Q: In the game of Monopoly, a player is sent to jail if he or she rolls doubles with a pair of dice 3…

A: In a game of monopoly, player is sent to jail if he or she rolls doubles with a pair of dice 3 times…

Q: It did not answer the questions since it was asking What is the probability that Bill was accepted…

Q: Three men are seeking public office. Candidates A and B are given the same chance of winning, but…

A: We have given that three men are seeking public office. P( A ) = P( B ) And, P( C ) = 3*P( A ) or…

Q: Luella has a bag with three Hershey Kisses, two Reese's Cups, five York Peppermint Patties, and a…

A: According to the given information, Number of Hershey kisses in the bag = 3 Number of Reese's Cups…

Q: In a throw of two dice, the probability of obtaining a total of 10 or 12 is

A: Introduction :- Given event :- Throw of two dice. We have to find probability of obtaining a total…

Q: What is the probability of a dice showing a 1 or 5?

A: From the provided information, Total outcomes of throwing a dice = 6

Q: A grade school boy has six blue and five white marbles in his left pocket and five blue and six…

A: According to the provided data, there are 6 blue and 5 white marbles in left pocket and 5 blue and 6…

Q: We roll a pair of dice three times. What is the probability of rolling an even total exactly once?

A: The probability of rolling an even total exactly once is 0.5.The probability of rolling an even…

Q: What is the probability of drawing a spade from a deck of cards, keeping it, then drawing a red…

A: Total number of cards = 52 Number of spades cards = 13 Number of red cards = 26

Q: If Johnny plays Russian Roulette twice, by spinning a revolver containing one bullet in one of the…

A: Probability of an event is computed by taking the ratio of number of favourable outcomes to total…

Q: In the world of competitive tic-tac-toe, Morris Brown and Jessica Smith are considered two of the…

A: Given: Morris is winning 4 major tournaments a year λ=4 per year Jessica is winning 4 major…

Question

AsAP

Two machines- a drill, and a grinder operate independently of each other. Their utilization are: drill 80%, grinder 70%.
(show your work)
(a) What is the probability of both machines being in use?
(b) What is the probability of both machines being idle?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Basics (types, similarity, etc)$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

In Example 8, what is the probability that an employee chosen at random has 30 or more years of service?
Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the probability that 3 patients of this group, chosen at random, will remain disease-free.
You toss two six-sided dice. What is the probability that the total of the two dice is 5?
Dividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an 8,000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning and that of B winning if the game were to continue? The French Mathematician Pascal and Fermat corresponded about this problem, and both came to the same correct calculations though by very different reasonings. Their friend Roberval disagreed with both of them. He argued that player A has probability 34 of winning, because the game can end in the four ways H, TH, TTH, TTT and in three of these, A wins. Robervals reasoning was wrong. a Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform the experiment 80 or more times, and estimate the probability that player A wins. bCalculate the probability that player A wins. Compare with your estimate from part a.