Suppose the force acting on a column that helps to support a building is a normally distributed random variable $X$ with a mean value of 13.0 kips and a standard deviation of 1.50 kips. Compute the following probabilities by standardizing and then using a standard normal curve table from the Appendix Tables or SALT. (Round your answers to four decimal places.)**(a)** $ P(X \leq 13) $ - **Answer:** 0.5 ✔️ **(b)** $ P(X \leq 14.5) $ - **Answer:** 0.8413 ✔️ **(c)** $ P(X \geq 5.5) $ - **Answer:** 21.25 ❌ **(d)** $ P(11 \leq X \leq 16) $ - **Answer:** **(e)** $ P(|X - 13| \leq 1) $ - **Answer:** The image includes a button labeled "USE SALT" for accessing the standard normal curve table. There are both correct and incorrect probability calculations shown for certain ranges of the variable $X$.

Answered: Image /qna-images/answer/bdd92e73-128c-4ac4-9a90-7a9fa6125400.jpg

Answered: Suppose the force acting on a column…

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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Suppose that arrival times at a certain emergency care center are following a Poisson process with a mean rate of λ = 0.2 arrivals per minute. Let T be the time until the third arrival. Find the mean and the variance of T, and find P(T ≤ 10) to four decimal places. Part 1 out of 3The mean of T is _______minutes.
Use the Suppose in a local Kindergarten through 12th grade (K -12) school district, 42% of the population favor a charter school for grades K through 5. A simple random sample of 144 is surveyed. nd the mean and the standard deviation of X of B(144, 0.42). Round off to 4 decimal places. b. Now approximate X of B(144, 0.42) using the normal approximation with the random variable Y and the table. Round off to 4 decimal places. Y N( C Find the probability that at most 72 favor a charter school using the normal approximation and the table. Round off to z-values up to 2 decimal places.) P(X 68) P(Y > ~ (Z >) e. Find the probability that exactly 63 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X = 63) P(
Please do the following questions with full handwritten working out. Mean= 0.177911 Variance=0.057632
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A company wants to determine whether it's consumer product ratings (0-10) have changed from last year to this year. The table below shows the company's product ratings from 8 consumers for last year and this year. At a=0.05, is there enough evidence to conclude that the ratings have changed? Assume the samples are random and dependent, and the population is normally distributed. Complete parts A-F.
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Q1.2 Mean of X A medical practice collects data on its patients with respect to several personal habits. The following table gives the distribution of the number of alcoholic drinks consumed per day in that population of patients. X = # of drinks per day Probability Save Answer Q1.3 Variance of X X = # of drinks per day Probability 0 0.38 Find the mean for this random variable, that is find ux. Show your work in the space below. Save Answer A medical practice collects data on its patients with respect to several personal habits. The following table gives the distribution of the number of alcoholic drinks consumed per day in that population of patients. 0 0.38 Q1.4 Standard Deviation of X X = # of drinks per day Probability 1 0.32 0 0.38 1 0.32 2 0.25 Find the variance for this random variable, that is find (ox)². Only show the first and last term of the work required. 1 2 0.25 A medical practice collects data on its patients with respect to several personal habits. The following table…
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