Weak spots occur at random in the manufacture of a certain cable at an average rate of 1 per 25 metres. If X represents the number of weak spots in 25 metres of cable, write down the distribution of X. What is S.D (X)? Lengths of this cable are wound on to drums. Each drum carries 75 metres of cable. Find the probability that a drum will have 3 or more weak spots. A contractor buys 7 such drums. Find the probability that four have just one weak spot each and the other three have none.

Weak spots occur at random in the manufacture of a certain cable at an average rate of 1 per 25 metres. If X represents the number of weak spots in 25 metres of cable, write down the distribution of X. What is S.D (X)? Lengths of this cable are wound on to drums. Each drum carries 75 metres of cable. Find the probability that a drum will have 3 or more weak spots. A contractor buys 7 such drums. Find the probability that four have just one weak spot each and the other three have none.

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: by using R coding please do the following

A: ANSWERS OF THE QUESTION: 1.Describe the shape of the distribution of resting pulse rates.To describe…

Q: uppose you and a friend each take different random samples of data pairs (x,y) from the same…

A: From the given information, It is given that the different samples are taken by you and your friend…

Q: An automated machine in a manufacturing process is operating properly if the length of an important…

A: GivenMean(μ)=117standard deviation(σ)=5.2

Q: please solve for a,b,c,d

A: Hello, Thanks for posting your question here. I will solve all the parts here but since you have…

Q: Different data sets can not be compared to one another if they are normally distribut True O False

A: Different data set can be compared if they are normally distributed by using Chi square goodness of…

Q: #hn. Don't provide handwriting solution

A: 1) Critical value is found at 0.05 level in Excel using =T.INV(1-0.05, 24) which equals +1.71 Here…

Q: An ecologist records the hourly number of birds x, (i = 1,2,3,...,40) flying over a wetland. The…

A: Sample size n=40 Sum of observations ∑i=140xi=1200 The sum of the square of observations…

Q: The manufacturer of a certain candy states that 13% of the candies are brown, 24% yellow, 14% red,…

A: by bartleby policy i can gives only 3 subparts at a time From given data we have : 13% brown 24%…

Q: The Law of Large Numbers (LLN) says O The distribution of the sample mean should approximate a…

A: It states that if you repeat an experiment independently a large number of times and average the…

Q: Find the area above 27 for a N(15,5) distribution.

Q: An adult can lose or gain two pounds of water in the course of a day. Assume that the changes in…

A: We are given that An adult can lose or gain two pounds of water in the course of a day. Let X be the…

Q: Q7. The Table shows the distribution of the number of students of different age groups, who are…

Q: The number of cars X, used for official business purposes on any given workday of two companies, A…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Suppose that the length of research papers is uniformly distributed from 10 to 25 pages We survey a…

A: Let us define X as the length of the research papers follows uniform distribution from 10 to 25…

Q: It takes between 1 and 5 minutes to go from the 6th floor of the college to the cafeteria, depending…

A: Solution given below

Q: Do you expect the distributions of the following variables to be symmetricor skewed? Explain.a. Size…

A: a.This is a Skewed Distribution because size in dollars of non-secured loans is not uniform. There…

Q: Y 1 2 4 8. 16 |P(y) 0.05 0.10 0.35 0.40 0.10 Construct the cumulative distribution function.

Q: by using R studio please code all problems

A: Let's go through each part of the question with detailed steps and analysis for clear understanding:…

Q: We wish to see if the dial indicating the oven temperature for a certain model oven is properly…

A: (a). Null and alternate hypotheses: The data represents the actual temperatures that are measured…

Q: A dependent-samples t-test and an independent-samples t-test both produced a t statistic with df =…

A: Given,df=16

Q: 3.6 Triathlon times, Part II: The distribution for triathlon time varies depending on the population…

A: a)Suppose the random variable x defines the triathlon time for a randomly selected man.The random…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Weak spots occur at random in the manufacture of a certain cable at an average rate of 1 per 25 metres.
If X represents the number of weak spots in 25 metres of cable, write down the distribution of X. What
is S.D (X)? Lengths of this cable are wound on to drums. Each drum carries 75 metres of cable. Find the
probability that a drum will have 3 or more weak spots. A contractor buys 7 such drums. Find the
probability that four have just one weak spot each and the other three have none.

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 with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

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

TKK Products manufactures electric light bulbs. Lab tests show that the distribution of lives (in hours) of these bulbs are N(700,75). Find the proportion of bulbs that will burn as described below Between 750 and 900 hours Between 600 and 800 hours
For a t distribution with 16 degrees of freedom, find the area, or probability, in each region. a. To the right of 2.120. (Use 3 decimals.) b. To the left of 1.337. (Use 2 decimals.) c. To the left of -1.746. (Use 2 decimals.) d. To the right of 2.583. (Use 2 decimals.) e. Between -2.120 and 2.120. (Use 2 decimals.) f. Between -1.746 and 1.746. (Use 2 decimals.)
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.20 ml/kg for the distribution of blood plasma.
The average family size was reported as 3.18. A random sample of families in a particular school district resulted in the following family sizes: 5 4 4 3 6 4 3 3 5 5 6 3 3 2 7 4 5 2 3 2 At =α 0.10, does the average family size differ from the national average? Assume the population is normally distributed. Find the -value. Round answer to four decimal places. Make a decision and Summarize your answer.
a, b, d,
Please don't provide hand written solution
Which of these choices below would be the best choice to address such errors of measurement? a. Broaden the range (i.e., spread) between the control limits. b. Reduce the range between the specification limits. c. Reduce the spread between the control limits. d. Broaden the range between the specification limits. Choices c, and d are true (i.e., reduce the spread between the control limits and broaden the range between the specification limits).
Assume y follows theX distribution. Assume c₁ and c₂ satisfy P(Y> c₁) = 0.05 and P(Y < c₂) (b). = 0.05. Then C₁ = (a) and C2 =
3. Let X Pois(4). Find the distribution of Y = √X.
Consider the boxplot below. 11 + 10 21 20 30 X 34 40 data 50 50 a. What quarter has the smallest spread of data? Second Quarter Third Quarter First Quarter O Fourth Quarter OB b. What is that spread? 11 c. Find the Inter Quartile Range (IQR): 24 d. Which interval has the most data in it? 49 - 64 37 - 50 O 21 - 34 O 11-21 60 64 X X e. What value could represent the 27th percentile? 12 54 39 022 70 X