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(d) P(11 s X s 16) (e) P(IX - 13| s 1)

(d) P(11 s X s 16) (e) P(IX - 13| s 1)

A First Course in Probability (10th Edition)
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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Only Parts D and E please.

Suppose the force acting on a column that helps to support a building is a normally distributed random variable \( X \) with mean value \( 13.0 \) kips and standard deviation \( 1.50 \) 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.) \[ \text{(a) } P(X \leq 13) \] \[ \hspace{20pt} \boxed{0.5} \, \checkmark \] \[ \text{(b) } P(X \leq 14.5) \] \[ \hspace{20pt} \boxed{0.8413} \, \checkmark \] \[ \text{(c) } P(X \geq 5.5) \] \[ \hspace{20pt} \boxed{1} \, \checkmark \] \[ \text{(d) } P(11 \leq X \leq 16) \] \[ \hspace{20pt} \boxed{\phantom{????}} \] \[ \text{(e) } P(|X - 13| \leq 1) \] \[ \hspace{20pt} \boxed{\phantom{????}} \]
Transcribed Image Text:Suppose the force acting on a column that helps to support a building is a normally distributed random variable \( X \) with mean value \( 13.0 \) kips and standard deviation \( 1.50 \) 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.) \[ \text{(a) } P(X \leq 13) \] \[ \hspace{20pt} \boxed{0.5} \, \checkmark \] \[ \text{(b) } P(X \leq 14.5) \] \[ \hspace{20pt} \boxed{0.8413} \, \checkmark \] \[ \text{(c) } P(X \geq 5.5) \] \[ \hspace{20pt} \boxed{1} \, \checkmark \] \[ \text{(d) } P(11 \leq X \leq 16) \] \[ \hspace{20pt} \boxed{\phantom{????}} \] \[ \text{(e) } P(|X - 13| \leq 1) \] \[ \hspace{20pt} \boxed{\phantom{????}} \]
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