3. Suppose the force acting on a column that helps to support a building is normally distributed with mean 15 kips and standard deviation 1.25 kips. a) What is the probability that the force is at most 18 kips? b) What is the probability that the force is between 10 and 12 kips? c) What is the probability that the force differs from 15 kips by at most 2 standard deviations?

3. Suppose the force acting on a column that helps to support a building is normally distributed with mean 15 kips and standard deviation 1.25 kips. a) What is the probability that the force is at most 18 kips? b) What is the probability that the force is between 10 and 12 kips? c) What is the probability that the force differs from 15 kips by at most 2 standard deviations?

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

Similar questions

The average annual rainfall in Detroit is 52.1" of rain per year with a standard deviation of 10" per year. Assume a Normal Distribution applies to annual rainfall. a) What percent of the year do you predict that Detroit's rainfall exceeds 75" per year? b) What is the probability tht over the next two years the annual rainfall in Detroit exceeds 75" per year for both years? c) Suppose a person moves to Detroit to go to WSU for the next 4 years. What is the probability that those 4 years average less than 48"?
-5. The weight of a certains species of fish is normally distributed with mean of 4.25 Kg and standard deviation of 1.2 a) What proportion of fish are between 3.5 kg and 4 kg b) What is the probability that a fish caught will have a weight of at least 5kg? 31
8) Scores on an exam have a normal distribution with a mean of 125 and a standard deviation of 19. Be sure to draw the normal distribution and shade the are being found. a) Find the probability that a person would score above 129 b) Find the probability that a person would score between 123 and 151. c) Find the probability that a group of 7 people would have a mean score above 130. d) Find the score needed to be in the top 10% of the class.
please slove only part B
1. (See Handout 1, Example 1). The life expectancy of a particular brand of lightbulb is normally distributed with a mean of 1500 hours and a standard deviation of 75 hours. We want to calculate the probability that a lightbulb will last more than 1440 hours. a) Calculate the critical z-score. b) Label the axis and shade the area under the curve that we are interested in. Hours z-score c) What is the probability that a lightbulb will last more than 1440 hours? d) What is the probability that a lightbulb will last less than 1440 hours?
The heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. (show all work)a) If an individual woman is randomly selected, what is the probability that she has a height between 63 and 65 inches?b) If 100 women are randomly selected, find the probability that they have a mean height greater than 64 inches.c) If 75 women are randomly selected, find the probability that they have a mean height less than 62.1 inches
Let x be a random variable that represents the weight of a lion in a certain region of Africa. Assume that x is normally distributed with a mean = 260 lbs . With standard deviation =30 lb Please include the graphs for questions A and B
Assume that females have pulse rates that are normally distributed with a mean of μ=76.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete part a through c a) If 1 adult female is randomly selected. Find the probability that her pulse rate is less than 82 beats per minute (Round to four decimal places as needed) b) If 4 adult females are randomly selected, find the probability that they have a pulse rates with a mean less than 82 beats per minute (Round to four decimal places as needed) c) Why can the normal distribution be used in part (b) even though the sample size don't exceed 30?(options are the image below)
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of 36 and a standard deviation of 10. Suppose that one individual is chosen at random. Find the following (round to 4 decimal places) a) Find the probability that the percent of fat calories a person consumes is more than 40. b) Find the probability that the percent of fat calories a person consumes is less than 35. c) Find the maximum number for the lower quartile of percent of fat calories. d) The middle 70% of the percent of fat calories are from 4 to
The ages of the winners of a cycling tournament are aproximately bell-shaped. The mean age is 27.9 years, with a standard deviation of 3.5 years. The winner in one recent year was 34 years old. a) Gransform the age to a z-score b) Interpret the results c) Determne whether the age is unusual. ---------------------------------------------------------- a) transform the age to a z-score z=_____ type an integer or decimal rounded to two decimal places as needed
The environmental protection agency rates the mean highway gas mileage of the 2013 Ford Edge to be 27 miles per gallon. Assume the standard deviation is 3 miles per gallon. Rental car company buys 60 of these car. a) commute the mean(ux) and the standard deviation (ox) of x. Round to 4 decimal places) b) what is the probability that the average mileage of the fleet is greater than 26.5 miles per gallon? (Make sure the normal curve with shaded area) c) what is the probability that the average mileage of the fleet is between 26 and 26.8 miles per gallon? (Make sure to draw the normal curve with the shaded area)
A normal population has a mean μ=20 and standard deviation σ=4 . Round answers up to four decimal places. a) The proportion of the population that is less than 18 is . b) The probability that a randomly chosen value is greater than 25 is