The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.6grams with a standard deviation of 0.17 grams. Enter your responses as a decimal with 4 decimal places.(a) What is the probability that a randomly chosen mouse has a mass of less than 20.41 grams?Show your work. Show me what you entered into the calculator.(b) What proportion of mice have a mass between 20.52 and 20.69 grams?Show your work. Show me what you entered into the calculator.(c) 15% of all mice have a mass of less thangrams.Show your work. Show me what you entered into the calculator.

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Answered: The mass of a species of mouse commonly…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A fitness center bought a new exercise machine called the Mountain Climber. They decided to keep track of how many people used the machine over a 3-hour period. Here X is the number of people who used the machine. X 0 1 2 3 4 PX 0.2 0.2 0.1 0.4 0.1 Find the mean,variance and standard deviation
The lifetime risk of developing pancreatic cancer is about one in 78 (1.28%). Suppose we randomly sample 200 people. Let X = the number of people who will develop pancreatic cancer. b. Using the formulas, calculate the (i) mean and (ii) standard deviation of X. c. Use your calculator to find the probability that at most eight people develop pancreatic cancer d. Is it more likely that five or six people will develop pancreatic cancer? Justify your answer numerically.
Today, the waves are crashing onto the beach every 5.3 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.3 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 3.3 seconds after the person arrives is P(x = 3.3) = d. The probability that the wave will crash onto the beach between 1.9 and 2.3 seconds after the person arrives is P(1.9 3.26) = f. Find the minimum for the upper quartile. seconds.
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 270 feet and a standard deviation of 42 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X N( b. Find the probability that a randomly hit fly ball travels less than 302 feet. Round to 4 decímal places. c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 268 feet and a standard deviation of 43 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X - N( b. Find the probability that a randomly hit fly ball travels less than 219 feet. Round to 4 decimal places. c. Find the 75th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
A subway train arrives every eight minutes during rush hour. We are interested in the length of time a commuter must wait for a train to arrive. The time follows a uniform distribution. a. Find the mean, μ = b. Find the standard deviation, σ = Round to the nearest tenth.
How do you do part c?
The volume of blood in an adult human body follows a normal distribution with a mean of 5.2 liters and a standard deviation of 0.3 liters. Use this information to answer questions 11- 13 and remember required steps. 11. If a random sample of 16 adults is selected, calculate the probability that their mean blood volume is lower than 5.4 liters. 12. If a single adult is selected, calculate the probability the blood volume is higher than 5.9 liters. 13. What is the first quartile for blood volume for all adults?
The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3484 grams and a variance of 160,000. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be greater than 4124 grams. Round your answer to four decimal places. Answer esc F If you would like to look up the value in a table, select the table you want to view, then either click the cell at the intersection of the row and column or use the arrow keys to find the appropriate cell in the table and select it using the Space key. ngle. 1 1 9 a Z @ 2 W S X # 3 e d C C $ 4 r f نے % 5 V t g Normal Table -00 to-z Normal Table - to z Oll 6 b y hp h & 7 u n * 8 j N O i m ( 9 k * O ) 0 1 alt р > : Tables ; Keypad Keyboard Shortcuts Submit Answer { ctrl AD + Oct 27 = ? 11 1 6:25 O backspace 1 USE YOUR SMARTPHON Reviews Videss B 55

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