3. A quality engineer exams a batch of manufactured parts. Each part has a probability of 0.9 to pass the examand 0.1 to fail the exam.(a) What is the probability of only 1 part out of 5 parts passing the exam?(b) What is the probability distribution of n parts out of 5 parts passing the exam? Please write down the pmfand cdf of the distribution.(c) What is the average number of passing parts out of every 10 parts?

Let us denote pass as success(S) and fail as (F), thenP(S) = 0.9 =p and P(F) =0.1 =(1-p)Let X be the…

Answered: 3. A quality engineer exams a batch of…

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...

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Similar questions

Suppose the number of cell phones in a household has a binomial distribution with parameters n = 15 and p = 85%. Find the probability of a household having: (a) 5 or 12 cell phones
Calculate the probability of a sample mean being at least as high as a specified value when σ is estimated?
1 point The following table shows 120 patients classified according to their blood sugar levels and gender. A patient is selected at random from the 120 patients. The probability that the patient selected is a female and has a high blood sugar level is: Gender Male (M) Female (F ) Blood sugar level Low (L) Normal (N) High ( H) 40 20 30 10 15 0.208 0.375 0.125 0.6
A group of botanists is studying the distribution of carnations in a field. The field is divided into a number of equal sized squares. The mean number of carnations per square is assumed to be 3. The carnations are distributed randomly throughout the field. Find the probability that: (b) (i) there will be more than two carnations. (ii) either five or six carnations.
All human blood can be "ABO-typed" as one of O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Here is the distribution of blood types for a randomly chosen person in a country. Blood type A National probability 0.43 0.12 AB ? (a) What is the national probability of type AB blood? O 0.41 (b) Maria has type B blood. She can safely receive blood transfusions from people with blood types O and B. What is the probability that a randomly chosen person from this country can donate blood to Maria?
Identify the distribution, the parameters with values (i.e. n, p etc)and what is meant by a success. Then use the tables to answer the provided question(showing clearly how you did any necessary calculations). Q3. A local sports management company predicts that when the ticket Office first opens, a cashierservices on average 5 customers in the first 30 minutes. Using the tables(a) What is the probability that when the ticket Office first opens, the cashier services exactly5 customers in the first 30 minutes(b) What is the probability that when the ticket Office first opens, the cashier services 5 orless customers in the first 30 minutes(c) What is the probability that when the ticket Office first opens, the cashier services 5 ormore customers in the first 30 minutes(d) What is the probability that when the ticket Office first opens, the cashier services exactly8 customers in the first hour? minutes
Children being exposed to unsafe levels of lead exposure is thought to be to an environmental factor increasing the chance of a child being diagnosed with ADHD. During the 1990s about 0.3% of children were exposed to unsafe levels of lead (usually from lead pipes). 3. If we let X = the number of children in our study with exposure to unsafe levels of lead we can use the binomial distribution to model the probability distribution of X. Explain why using the definition of Binomial from your notes. (Recall we randomly selected the 425 children and the probability a child is exposed is 0.3%. 4. The researchers found that 5 children in the study had unsafe levels of lead in their blood, Find the probability that in a random sample of 425 children we find at least 5 that have exposure to unsafe levels of lead. 5. Is it unusual to find at least 5 that have exposure to unsafe levels of lead? Explain showing work.
(first part of question is attached) (e) What is the probability that the sample proportion of students of adults living with parents or other relatives is higher than 0.3? (f) What is the probability that the sample proportion of adults living alone is between 0.1 and 0.15?
The probability distribution itself is assumed to be a beta distribution. True or false?
Q3. A 10-year record of tornadoes per year to land in a particular region is 2, 2, 1, 3, 2, 1, 0, 2, 3, and 1. Using Poisson's distribution, what is the probability of not having tornados in any 1 year? What are the average of the number of tornadoes in 1 year?
How is the probability distribution of a variable defined?

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