In a certain industrial facility, accidents occur infrequently. It is known that the probability of an accident on any given day is 0.005 and accidents are independent of each other. (i) What is the probability that in any given period of 400 days there will be an accident on one day? (ii) What is the probability that there are at most three days with an accident?

In a certain industrial facility, accidents occur infrequently. It is known that the probability of an accident on any given day is 0.005 and accidents are independent of each other. (i) What is the probability that in any given period of 400 days there will be an accident on one day? (ii) What is the probability that there are at most three days with an accident?

Name: In a certain industrial facility, accidents occur infrequently. It is
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: In a certain industrial facility, accidents occur infrequently. It is known that the probability of an accident on any given day is 0.005 and accidents are independent of each other.(i) What is the probability that in any given period of 400 days the

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: The probability that a student passes the P&S exam is 0.7. (i)Find the probability that a given…

A: It is given that the probability of passing the exam is p=0.7. It is asked to find the probability…

Q: $1 of lotto ticket will be a winner one out of the five times. Out of shipment of n = 190 lotto…

A: Normal approximation to the binomial: From the given information, sample size, n = 190. The…

Q: q1 Consider one - persistent CSMA. There are two contending stations having a packet ready, and both…

A: Consider one - persistent CSMA. There are two contending stations having a packet ready, and both…

Q: exactly 8 users out of 15 smartphone users do not upgrade their cell phones every two years.…

A: The given information is that, 57% of U.S. smartphone users upgrade their cell phone every two…

Q: If you let X equal the number out of n = 48 seeds that will sprout when p = 0.75 is the probability…

A: Sample size Proportion

Q: What is the probability a randomly selected x-value will be at most 3? What is the probability a…

Q: Events A and B are independent. Suppose event A occurs with probability 0.94 and event B occurs with…

A: We are given here that:P(A) = 0.94, and P(B) = 0.45 Since we are given that A and B are independent…

Q: The probability of a man hitting a target is If he fires 7 times. what is the prob- ability of his…

Q: 3 Assume that a biased die has P(1) = 1, P(2) = }, P(3) = P(4) = ¿ , P(5) =,P(6) = . If the die is…

A: Given - Assume that a biased die has P1 = 14, P2 = 18, P3 = P4 = 16, P5 = 112, P6 = 524. To find -…

Q: A certain virus infects one in every 600 people. A test used to detect the virus in a person is…

A: Define the following events: A: a randomly selected person is infected from virus B: a randomly…

Q: 2 The behaviour of a certain stock market index is considered over the next (n+1) consecutive…

A: a. Define N as the random variable representing the number of days among the next n days, on which,…

Q: A “random digit" is a number chosen at random from {0,1, ... ,9}, each with equal probability. A…

A: From the given information, Consider, Sample size of all 10 digits as given below: Sample space(S) =…

Q: ree people participate in a Tech fest.The probability that they in in tech fest are 1/3,1/5,1/7…

Q: Tendulkar is playing a cricket tournament in which each player can play 200 balls and the player who…

A: The number of balls each player has to play is 200. The player who hits maximum number of six will…

Q: Assumed a source produces only two digits ("1" and "0") with probabilities of 0.6 and 0.4, What…

A: P(1)= 0.6, P(0)= 0.4 (i). For zeros, n= 5, p= 0.4 Hence X~Binomial(5,0.4) P(x)= nCxpx(1-p)n-x…

Q: Two dice are rolled and the sum of the outcomes is counted. (correct your answers to 4 decimal…

Q: 不 The graph of the discrete probability to the right represents the number of live births by a…

A: (a) What is the probability that a randomly selected 40- to 43-year-old mother who had a live birth…

Q: Imagine a woman has a positive mammogram. What is the probability that she has breast cancer?

A: Here use Bayes rule and tree diagram Define events as follows C = women have breast cancer T =…

Q: Part (a) Construct a tree diagram of the situation. Part (b) P(C) = Part (c) P(F | C) =

A: Given , C - A man develop s cancer P(c) = 0.4956 F = A man has atleast one false…

Q: (a) Find the probability that a study participant has a height that is less than 65 inches. The…

Q: he probability that a patient recovers from a disease is 0.8. Suppose 5 people are known to have…

A: Given data, p=0.8 n=5

Q: 51 77. (a) The probability that a driver stopping at a petrol station will have his car tyres…

Q: A student is selected from the class of 20 students to supervise a certain class project by…

Q: Paja has hidden a one-thousand dinar banknote in one of the three books he's currently reading, but…

A: Given there are three books in one of which there is a one-thousand dinar banknote.If the banknote…

Q: The probability that a patient recovers from a certain type of operation is 0.75. (a) What is the…

A: From the given information,n = 5 P = 0.75Using formula, ( Binomial distribution)

Q: Assuming that having a boy in a birth is 1/2. If a family has four kids (from four births), what is…

A: Solution: 4. Let B represents boy and G represents girl. From the given information, probability of…

Q: Suppose that extensive testing has revealed that people in Group A have IQ’s that are well described…

A: a)

Q: If the probability of an event occurring P(E) plus the probability of an event not occurring P(not…

Q: produces

Q: The probability that a randomly selected box of a certain type of cereal has a particular prize is…

A: (a) To solve the problem, we need to determine the probability of purchasing exactly 8 boxes to…

Q: (Q5)/(A) If you know that 75% of the students in a college are males, and a random sample of 30…

Q: Age Age Gender Under 40 40 or Older Total Male 12 2 14 Female 8 3 11 Total 20 5 25 The table…

A: Given data: Total people=25 Male=14 Female=11 Under 40=20 40 or Older=5

Q: 44% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults.…

A: Givenp=0.44n=10Let "x" be the no.of U.S adults who have very little confidence in newspapers…

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

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

Trending now

This is a popular solution!

Step by step

Solved in 2 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

Let X be a random variable with u = 4 and o = .5. (a) Use the Chebychev inequality to estimate Pr(3 < X < 5). %3D (b) If X were normally distributed, what would be
4. The odds that an event, A, happens is defined to be O(A) P(A) 1- P(A) If the odds that event A occurs is 3.0, what is the probability it happens? (a) (b) = If the odds that event A occurs is 3:0, what is the probability it happens? 3.0'
) If the probability of a person getting a job is x / 3 The probability of not getting a job is 2/3 . So what is the value of x
Q/C/ If the disjoint events A and B such that P(B)=1/3 , then the value of P(Bn A) is------.
A die has been “loaded” so that the probability of rollingany even number is 2/9 and the probability of rollingany odd number 1/9 is What is the probability of(a) rolling a 5?(b) rolling a 5, given that an even number is rolled?(c) rolling a 5, given that an odd number is rolled?
. The probability that a newborn life (age 0) survives x years is given by: 110 - x xPo 0
- The probability of a man hitting a target is 13 332-6 grupist Tontificede (i) If he fires 5 times, what is the probability of his hitting the target at least twice? (ii) How many times must he fire so that the probability of his hitting the target at least once is more than 90% ?
The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.9. (a) What is the probability that he must stop at both signals? X (b) What is the probability that he must stop at the first signal but not at the second one? X (c) What is the probability that he must stop at exactly one signal?
Please help!!
The graph of the discrete probability to the right represents the number of live births by a mother 49 to 53 years old who had a live birth in 2015. Complete parts (a) through (d) below. 0 1 (a) What is the probability that a randomly selected 49- to 53-year-old mother who had a live birth in 2015 has had her fourth live birth in that year? (Type an integer or a decimal.) (b) What is the probability that a randomly selected 49- to 53-year-old mother who had a live birth in 2015 has had her fourth or fifth live birth in that year? (Type an integer or a decimal.) (c) What is the probability that a randomly selected 49- to 53-year-old mother who had a live birth in 2015 has had her sixth or more live birth in that year? (Type an integer or a decimal.) Statcrunch no JL @ 1 # с $ % JI JU & 0.30 0.25 0.20 0.15 0.10 0.05- 0.00 U 165 0.112 0.094 Number of Live Births 7 R # 8 A G
Please solv within 30min (a) 0.1008 0.0010 0.8008 0.3193 (b) 0.1008 0.0010 0.8008 0.3193
(5). pregnancy test gives a false positive result with a probability of 0.11 and a valid positive result with a probability of Seventy percent of all women who submit to pregnancy test are really pregnant. A certain 0.88 (a). If a particular woman's test is positive, what is the probability that she is not pregnant. (b). If a particular woman's test is negative, what is the probability that she is really pregnant. (c). Find the specificity of the test.