A burglar alarm system has 6 fail-safe components. The probability of each failing is .05. Find these probabilities: (a) exactly 3 will fail; (b) fewer than 2 will fail; (c) none will fail; (d) compare the answers for parts(a), (b) and (c), and explain why the results are reasonable.

A burglar alarm system has 6 fail-safe components. The probability of each failing is .05. Find these probabilities: (a) exactly 3 will fail; (b) fewer than 2 will fail; (c) none will fail; (d) compare the answers for parts(a), (b) and (c), and explain why the results are reasonable.

Name: A burglar alarm system has 6 fail-safe components. The probability of
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: A burglar alarm system has 6 fail-safe components. The probability of each failing is .05. Find these probabilities: (a) exactly 3 will fail; (b) fewer than 2 will fail; (c) none will fail; (d) compare the answers for parts(a), (b) and (c), and expla

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: 5. At Jaxlyn's Garage, 200 cars were inspected and repaired. There were 92 cars that needed new…

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

Q: A stock market analyst figures the probabilities that two related stocks, A and B, will go up in…

A: Given that A will go up to be 0.7 the probability that both stocks will go up to be 0.2 we need to…

Q: 36% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each…

A: Given data isn=12p=0.36Let "x" no. of adults who say cashews are their favorite…

Q: Given that P(A)=0.15, and P(B)=0.75, and P(A ad B)=0.1125, what is the probability of the…

A: Given query is to find the complement of B.

Q: Heather buys a bag of cookies that contains 8 chocolate chip cookies, 7 peanut butter cookies, 9…

A: Givenno.of chocolate chip cookies=8no.of peanut butter cookies=7no.of sugeat cookies=9no.of oatmean…

Q: You have a bobcat cub. This kind of cat grows to a weight that is N(21,5) where 21 and 5 are in…

A: We want to find the probability by using standard normal distribution table.

Q: Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.35; P(H) =…

A: First question: For an non null event A it known that P(A) + P(Ac) = 1.

Q: Julianna is baking cookies for her Hospitality Management. Out of 50 cookies she baked, 10 are…

A: From the provided information, Out of 50 cookies she baked, 10 are defective. Professor randomly…

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

A: It is given that the probability of total loss of only the above water superstructure is 0.40, the…

Q: Find these probabilities: d. P(No and Republican) = e. P(No or Republican) = f. P(No | Republican) =

A: First we have to find x and y x=0.54-0.22=0.32 y=0.46-0.12=0.34

Q: A restaurant owner wants to determine the probability of running out of ingredients for their most…

Q: Catherine buys a bag of cookies that contains 7 chocolate chip cookies, 4 peanut butter cookies, 5…

A: Given that, Total number of cookies = 7+4+5+5 = 21 Number of chocolate chip cookies = 7 Number of…

Q: An animal shelter has a 65% adoption rate for puppies. Of all puppies in the shelter, 75% live to be…

Q: GMC automobiles come in the following colors and are manufactured in these percentages. White(.46),…

A: The objective of the question is to find the probability that both cars selected at random are…

Q: Find the complement of each of the given probabilities:

Q: Felix states that he is able to distinguish a freshly ground coffee blend from an ordinary…

Q: generating two symbols, dots and dashes. We observed that the dots were twice as likely to occur as…

Q: Q4: what is the probability of choosing randomly (a) a boy, and (b) a girl from a group of people…

A: Probability is a measure of the likelihood of the occurrence of an event and the probability value…

Q: If P(A) = 0.5 and P(ANB) = P(A'n B'), then what is the probability of P(B)? Select one: a. 0.6 b.…

A: Please see attached image for the solution of the problem. Regards.

Q: case of rain. Based on expected values, which is David's wiser choice in this situation? David…

A: The expected net profit is, $100,000. The reduced net profit is , $40,000. The probability of rain…

Q: Assume the following probabilities for two events, A and B: P(A) = 0.50, P(B) = 0.70, P(AUB) = 0.85…

A: Answer: - Given Two events A and B: P(A) = 0.50, P(B) = 0.70, and P(A∪B) = 0.85…

Q: 32% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each…

A: Given, n=12 P=0.32 q=1-P=1-0.32=0.68 X~Binomial n=12,…

Q: A company produces products at a cost of $30 each. Defective products cost an additional $16 each to…

A: Given that:The probability of no defective products is 80%=0.805% of 600=0.05×600=30. So the…

Q: Franklin has opened his bag of plain M&Ms and counted each color. He has determined that if someone…

A: It is given that. Red =10% Blue=15% Yellow=28%

Q: You are given the following data table: Female…

A: Solution-: we have given table: Female Male Uses Social Media 395 291 Doesn't Use Social…

Q: Player picks a random ball from one of 3 boxes. It's known that for one box the probability of…

A: INTRODUCTION : Definition : Probability: If an experiment results in any one of exhaustive,…

Q: The best free throw shooter in NBA history is Stephen Curry who has made 91% of his free throw…

A: Let be the number of number of free throws.The probability of making free shot: The total number…

Q: Jeannie took a week's vacation from school and never made up the work. She is guessing answers on a…

A: If each trial has only two possible outcomes, that is, success and failure, the probabilities of…

Q: How can I answer both A and B using excel?

A: Given: P (B) = 0.60 P (A | B') = 0.50 P (A | B) = 0.25

Q: Brian is undecided as to whether to take a French course or a Russian course. He estimates that his…

A: Answer Given Probability of receiving an A grade would be in a French course =1/3 and in Russian…

Q: Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.5; P(H) =…

A: Given,P(G)=0.5P(H)=0.31P(H AND G)=0.09

Q: Noime wants to wear something warm when she leaves for class. She reaches into her coat closet…

Q: A local election will be held with 12 candidates running for a new county governing board. Four…

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

A burglar alarm system has 6 fail-safe components. The probability of each failing is .05. Find these probabilities: (a) exactly 3 will fail; (b) fewer than 2 will fail; (c) none will fail; (d) compare the answers for parts(a), (b) and (c), and explain why the results are reasonable.

Video Video

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

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

Similar questions

How will I find the probabilities? Thanks in advance.
In a remote jungle village the probability of a child contracting malaria is .45 the probability of contracting measles is.65 and the probability of contracting both is .20 What is the probability of a child contracting malaria or measles?
Two chefs (Mike and Larry) cook at a diner. Mike cooks twice as many dishes as Larry. ZAGAT has noted that Larry cooks “good” 3 out of four dishes, while Mike cooks “good” four out of ten dishes. You want take your out-of-town visitor for a dinner there. What is the probability that your visitor will have good dining experience?
Using The F Distribution Table, find the critical value for a two-tailed F test with =α0.10 and the following. Round the answer to 2 decimal places. The Critical Value is: Sample 1: =s21=157, n112 Sample 2: =s22=169, n213
I'm confused as to what distrubution I should use to solve this probability. When tall and colorful plants are crossed with short and colorless plants, four types of plants will result: tall and colorful, tall and colorless, short and colorful, and short and colorless with corresponding probabilities: 0.37, 0.42, 0.11, and 0.10. Ten plants are selected. Find the probability that 5 will be tall and colorful, 2 will be tall and colorless, 2 will be short and colorful, and 1 will be short and colorless.
Dash and Lily Corporation wanted to raise funds for the poor. The first prize for a raffle is S500,000 (with a probability of 0.001) and the second prize is S250,000 (with a probability of0.003). What is a fair price to pay for a single ticket in this raffle?
Your car is making a funny noise. You believe that the problem is either with the wheel or the axle, and you believe the probability is 0.3 that the wheel needs to be replaced, and 0.7 that the axle needs to be replaced. You need to decide whether to replace the wheel or the axle first. The cost of each alternative is given in the following table (if you decided to replace the wrong part first, you have to replace both of them). The Wheel is broken p = 0.3 The Axle is broken p = 0.7 Replace Wheel First Replace Axle First 600 1500 1500 900 a) Find the EV of each decision alternative. Which part should you replace first? b) What is the EVPI?
June is a student taking a statistics course. Unfortunately, June is not a diligent student. She does not read the textbook before or after class, does not do homework, and regularly misses class. She intends to rely on luck to pass the next quiz. The quiz consists of 10 multiple-choice question. Each question has five possible answers. Only one of the answers is correct, so the probability of choosing the correct answer is 0.20. June plans to guess the answer to each question independently. Let � be the number of correct answers on June’s quiz. What is the standard deviation of correct answers for June? Group of answer choices 8 2 1.26 1.14 None of These
Find the complement of each of the given probabilities:The complement of P(A) = 4%: = %The complement of P(~A) = 1%: = %The complement of P(A|B) = 99%: = %The complement of P(A|~B) = 43%: = %The complement of P(~A|~B) = 97%: = %
Brian, a landscape architect, submitted a bid on each of three home landscaping projects. He estimates that the probabilities of winning the bid on Project A, Project B, and Project C are 0.7, 0.5, and 0.2, respectively. Assume that the probability of winning a bid on one of the three projects is independent of winning or losing the bids on the other two projects. Find the probability that Brian will experience the following. (a) Win all three of the bids (b) Win exactly two of the bids (c) Win exactly one bid
3. For two independent events, A and B, P(A)=D0.1 and P(B)-D0.5. Enter your probabilities as decimals. 3(a) P(A and B) = 3(b) P(A| B) = %3! 3(c) P(A or B) =
i need part D