A traffic survey found that that 74% of cars on ahighway drive over the displayed speed limit. Asample of 1130 cars on a highways was studied.(A) Find the expected value and standard deviation forthe number of cars in the sample that drive over thespeed limit.E(x) ==(B) If 666 cars in the sample drove over the speed limit,is this result unusually high, or low, or neither?(Enter HIGH or LOW or NEITHER)

Given that n = 1130,p =0.74 Find ( a ) E( x) =? sigma = ? ( b ) Is 666 cars unusually high,loe or…

Answered: A traffic survey found that that 74% of…

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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Body mass index (BMI) in children is approximately normally distributed with a mean of 24.5 and a standard deviation of 6.2. In a random sample of 10 children, what is the probability that their mean BMI exceeds 25? (there are conflicting answers currently on bartleby re this question...)
In a large group of young couples, the stan- dard deviation of the husbands' ages is four years, and that of the wives' ages is three years. Let D denote the age difference within a couple. Under what circumstances might you expect to find that the standard deviation of age differences in the group is about 5 years? Instead you find it to be 2 years. One possibility is that the discrepancy is the result of random variability. Give another explanation.
Farmers often sell fruits and vegetables at roadside stands during the summer. One such roadside stand has adaily demand for tomatoes that is approximately normally distributed with a mean of 128 tomatoes and astandard deviation of 30 tomatoes. How many tomatoes must be available on any given day so that there is onlya 1.5% chance that all tomatoes will be sold?
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Suppose samples of size 100 are drawn randomly from a population that has a mean of 20 and a standard deviation of 5. What is the probability of observing a sample mean equal to or greater than 20.5? 0.8384 0.4192 0.1634 0.9192 0.1587
Example 8.5: Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28 minutes with a standard deviation of 5 minutes. In a given week, a bus transported passengers 40 times. What is the probability that the average transport time was more than 30 minutes? Assume the mean time is measured to the nearest minute
The mean score on a driving exam for a group of driver’s education students is 76 points, with a standard deviation of 6 points. Apply chebychev’s theorem to the data using K=2. Interpret, At least ___% of the exam score falls between ___and ____
#2) A large warehouse installed a security system a few years ago. Under an older system the managers estimated that they were losing an average of $678 worth of goods to thieves each week. A random sample of 36 weekly records under the current system showed that they were still losing an average of $650 worth of goods each week. The sample standard deviation was s = $93. Does this indicate that the average loss is different (either more or less) than the previous $678 per week? Use a 5% level of significance.
The distribution of weekly salaries at a large company has a mean of $1000 and a standard deviation of $350. What is the probability that the mean of a random sample of weekly salaries of 50 employees will be at most $900? 0.0217 O 0.9783 O 0.3438 O Cannot be determined, because the distribution of the population is not normal.
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