The reaction time X (in minutes) of a certain chemical process follows a continuous uniform probability distribution with 2≤X≤10 . (a) Draw the graph of the density curve. Be sure to label the horizonal and vertical axes. (b) What is the probability that the reaction time is betweeen 4 and 7 minutes? (c) What is the probability that the reaction time is exactly 3 minutes?

The reaction time X (in minutes) of a certain chemical process follows a continuous uniform probability distribution with 2≤X≤10 . (a) Draw the graph of the density curve. Be sure to label the horizonal and vertical axes. (b) What is the probability that the reaction time is betweeen 4 and 7 minutes? (c) What is the probability that the reaction time is exactly 3 minutes?

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 age of children in kindergarten on the first day of school is uniformly distributed between 4.97…

A: Solution: Let X be the age of children in kindergarten on the first day of school. From the given…

Q: The time to wait for a drive through order at Mcdonald's is uniformly distributed between 5 and 12…

Q: The number of vitamin pills, X, that a machine puts into bottles is normally distributed with μ…

Q: What is the probability of waiting more than 17 minutes given a person has waited more than 9…

A: The uniform distribution is, fx=1b-a x∈a,b The random variable X is defined as the waiting…

Q: An agent gets a bonus based on product performance. His earned premium is 400,000. Losses follow an…

A: In this case, it is known that Earned premium is 400000 Exponential distribution with mean - 300000…

Q: State the probability distribution (with its parameter and parameter value) that describes the…

A: Provided information is, during normal working hours, a call centre receives an average of 60 calls…

Q: Let assume that an automobile manufacturer introduces a new battery for automobiles and tests for…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: The amount of time it takes Emma to wait for the train is continuous and uniformly distributed…

A: From the provided information, The amount of time it takes Emma to wait for the train is continuous…

Q: What is a marginal probability function

A: Probability distribution

Q: Time to complete HW assignment for Applied Statistics class has a uniform distribution with minimum…

Q: dache sufferers who get relief with just two aspirins is 63.4%. What is the probability that in a…

Q: The number of the emails that a scientist receives, follows a Poisson distribution with an average…

A: Let X be the number of the emails that a scientist receives which follows Poisson distribution with…

Q: The weights of a candies are normally distributed, with n = 469 H = 0.8556 g o = 0.051 g (a) If one…

A: Givensample size(n)=469Mean(μ)=0.8556standard deviation(σ)=0.051

Q: Define marginal probability density function.

Q: Two fair dice are rolled. Find the joint probability distribution of Y1 and Y2, where Y1 is the…

A: Given: Two fair dice are rolled Y1 is the larger of the values obtained on the dice Y2 is the…

Q: The lengths of your statistics class has a continuous uniform distribution between 45 minutes and 58…

Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…

A: Let us denote X=The lengths of a professor's classes Given that X follows a continuous uniform…

Q: The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes.…

Q: The time it takes me to wash the dishes is uniformly distributed between 5 minutes and 14 minutes.…

A: It is an important part of statistics. It is widely used.

Q: (a) A structure consists of 100 column footings. Suppose the settlement of each footing is…

A: Given that a structure consists of 100 column footings and the settlement of each footing is…

Q: The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed…

A: concepts and reasonuniform distribution is a continuous probability distribution.it is defined…

Q: I model the time at work as a Gamma distribution with parameters r = 20, = 2. What is the average…

Q: The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 17 minutes.…

A: Given that, The time it takes me to wash the dishes is uniformly distributed between 11 minutes and…

Q: Define marginal probability functions.

Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…

Q: The waiting times between a subway departure schedule and the arrival of a passenger are uniformly…

Q: The probability of a customer arrival at a grocery service counter in any one second is equal to…

Q: An elementary school keeps a record of the number of children sent to the office for disciplinary…

A: (a) Obtain the probability that more than one child is sent to the office per day. The…

Q: The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 20 minutes.…

A: Uniform distribution is a continuous distribution with two parameters a and b. a is the lower limit…

Q: The time it takes me to wash the dishes is uniformly distributed between 12 minutes and 22 minutes.…

A: Given:The uniform distributed time for washing dishes is 12 minutes and 22 minutes. Then the…

Q: A cable company advertises short wait times for customer service calls. The graph shows the wait…

A: Given: The graph of the wait times (in seconds) for a sample of customers service calls is as…

Q: The frequency distribution of a continuous random variable is given by x, 0≤x≤2 g(x)= -x, 2≤x≤4 Find…

A: The given frequency distribution of a continuous random variable is g(x)=x0≤x≤24-x2≤x≤4

Q: All probability distributions whose variable extent depends on the parameters do not belong to the…

A: #: All the probability distribution whose variable extent depends on parameter do not belongs to…

Q: The compressive strength of ( 20 ) concrete cubes with mixing ratio of (1:2: 4) are found between…

A: 2. The compressive strength of concrete cubes with mixing ratio are found between 12.5 and 29.3…

Concept explainers

Forecasting in Business

Forecasting is the process of predicting the future based on the past and the present data and circumstances. In other words, forecasting is the act of making a detailed analysis of future events based on the decisions made in the past as well as the present. Forecasting plays a very important role in operational management as it helps in planning and decision-making. It is not only important for the success of a business but also contributes to individual growth and success. Many business organizations or companies have failed due to the shortcomings of their forecasting.

Question

The reaction time X (in minutes) of a certain chemical process follows a continuous uniform probability distribution with 2≤X≤10 .

(a) Draw the graph of the density curve. Be sure to label the horizonal and vertical axes.

(b) What is the probability that the reaction time is betweeen 4 and 7 minutes?

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Forecasting$

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

The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 21 minutes.What is the probability that washing dishes tonight will take me between 14 and 19 minutes?Give your answer accurate to two decimal places.
Q2\ Calculate the cumulative distribution function (CDF) for the probability mass function: Events probability 0.11 B 0.2 0.32 0.05 0.32
Describe the distribution where radioactive particles are emitted at a poisson rate of 5 per second. Let W reflect the waiting time until the 20th particle. What is the expected time here?
Customers arrive at a shop according to a Poisson process at a mean rate of 2 customers every ten minutes. The shop opens at 9am. (c) Let Y be the time (in hours) until the 4th customer arrives at the shop. State the distribution of Y and give the value(s) of its parameter(s). (d) Show that the probability of the time until the 4th customer arrives being greater than 15 minutes is 13e-3. (e) Let M be the number of customers who arrive at the shop between 9am and 12 noon. State the distribution of M and give the value(s) of its parameter(s). (f) Calculate P(M = 30) using a normal approximation with the continuity correction.
please help with this
A company that sells binders decides to run a promotion on their 1-inch and 2-inch size binders. Theydiscount the 1-inch binders to $1 per binder and discount the 2-inch binders to $2 per binder. They limitsales to a quantity of 5 of each size of binder per customer. The probability distribution of “X = the numberof 1-inch binders purchased by a single customer during the promotion period” is given in the table below. X 1 2 3 4 5 P(X) 0.02 0.09 0.12 0.15 0.62 a) Compute the mean and standard deviation of X. b) The company’s cost of manufacturing a single 1-inch binder is $0.25. What is the expected profit (indollars) that the company will make, per customer, for 1-inch binder sales during the promotion? c) The mean and standard deviation of “Y = the number of 2-inch binders purchased by a singlecustomer” is 2.74 and 1.25, respectively. Assume that the number of 1-inch and 2-inch binderspurchased are independent random variables. What are the mean and standard deviation of the…
The amount of time it takes Susan to wait for the bus is continuous and uniformly distributed between 4 minutes and 18minutes. What is the probability that it takes Susan less than 5 minutes given that it takes less than 11 minutes for her to wait for the bus
the driving time from toronto to montreal are uniformly distributed with times ranging from four hours to 5.75 hours. draw a probability density graph that shows this (be sure to fully label your graph).
Suppose data x is distributed with poisson distribution with λ=100 then find the probability of x=99
(b) Suppose the number of customers at a Sushi outlet is Poisson distributed where an average of nineteen customers are served per 30 minutes. (i) Over a fifteen-minute period, how many customers are served on average? Find the probability of exactly seven customers served over a fifteen-minute period. Write your answer correct to 4 decimal places. (iii) Calculate the probability at least 1 customer is served over a fifteen-minute period. Write your answer correct to 4 decimal places.
A person’s body temperature follows a uniform distribution and can be anywhere in the range of 95 °to 106 °for a living person Draw the graph of the density curve. What is the probability that a person’s body temperature will be more than 98°? What is the probability that a person’s body temperature will be between 97°and 99°? What is the probability that a person’s body temperature will be below 100°?
The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes.What is the probability that washing dishes tonight will take me between 14 and 17 minutes?Give your answer accurate to two decimal places.