Answered: 2. Let X ~ N (2856,16) a) What is the…

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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Suppose that a category of world-class runners are known to run a marathon (26 miles) in an average of 147 minutes with a standard deviation of 11 minutes. Consider 49 of the races. Let x̅ = the average of the 49 races. A) Give the distribution x̅ (round your standard deviation to two decimal places.) x̅~______(______,______) B) Find the probability that the average of the sample will be between 144 and 148 minutes in these 49 marathons. (Round your answer to four decimal places.) C) Find the 70th percentile for the average of these 49 marathons. (Round your answer to two decimal places.) ______ min D) Find the median of the average running times. _____min
The manager of a grocery store has selected a random sample of 100 customers. The average length of time these 100 customers to check out was 30 minutes. It is known that the mandand deviation of the checkest time is 1 minute With a 90 probability, the sample mean will provide a margin of error of 1645 10 196 1.96
1)When can a Standard Deviation for set of 5 numbers be zero? In other words, what kind of relationship must exist among all numbers in order for Standard Deviation to be zero Hint: Standard Deviation E(X¡ - Mean)²/(n – 1)
Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random sample of 155 adult males, the mean pulse rate is 68.1 bpm and the standard deviation is 10.8 bpm. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. V bpm (Туре decimal. Do not round.)
What is the probability of observing at least 60 cardinal birds in 2012? (Hint: Apply a continuity correction where appropriate.) The observers wish to identify a normal range for the number of cardinal birds observed per year. The normal range will be defined as the interval (L, U), where L is the largest integer ≤ 15th percentile and U is the smallest integer ≥ 85th percentile . mean= 61.71 standard deviation= 9.58 probability of at least 60 birds in 2012 is 0.5714 i was able to figure out all of this but am having trouble finding the exact interval.
Suppose the mean grade for a statistic midterm was 75 with Standard Deviation of 10. Assume that the grades are normally distributed. a) What percentage of students received a grade less than 70? b) If 2 students failed the exam i.e. their grades were less than 60, how many students took the test? ( Hint: Focus on x< 60 first)
Prove that the mean deviation about the mean of the variable x, the frequency of whose ith size x; is f; is given by : 2 N x_r_fi - Efixi, Ν= Efi X < x
A normal population has a mean of 80 and a standard deviation of 14.0. a) Calculate the probability of a value located between 75.0 and 90.0 p(75 ≤ x ≤ 90) b) Find the probability of a value of 75.0 or less. c) Calculate the probability of a value located between 55.0 and 70.0
The number of ants per acre in the forest is normally distributed with a mean of 43,000 and a standard deviation of 12,222. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(----,----)b. Find the probability that a randomly selected acre in the forest has fewer than 57,110 ants. (------)c. Find the probability that a randomly selected acre has between 44,908 and 53,418 ants. (-------)d. Find the first quartile. (-------) ants (round your answer to a whole number)
37 - Find the standard deviation. Si f 3 3 5 7 7 5 a) 1.49 B) 5.77 NS) 2.21 D) 4.88 TO) 1.94
a) What is the probability that a randomly selected adult in the U.S. has at least one grandparent who was born outside of the U.S.? b) find the expected number of grandparents who were born outside of the U.S. that a randomly selected adult in this country has. (Find the mean of X) c) find the standard deviation of X. Round to 4 decimal places.

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2. Let X ~ N (2856,16) a) What is the standard deviation of x? b) Calcuate P (X>7)