After collecting data on remote education for over a year, it was found that the daily screren-time of high-school students follow a normal distribution with mean 313 minutes and standard deviation 67 minutes. a. What is the probability that a randomly selected student will have a daily screen-time greater than 384 minutes? Answer in exact fraction, or rounded to at least 4 decimal places. b. What is the probability that a randomly selected student will have a daily screen-time between 163 minutes and 413 minutes? Answer in exact fraction, or rounded to at least 4 decimal places. c. Schools are starting to implement guidelines on healty screen-time practices for their students. As a first step, a school plans to place a limit on students' screen-times in such a way so that at most 74.78% of their students fall within that time limit. What should the time limit be set at? Answer in exact fraction, or rounded 1 at decimal places. minutes

Q: Among the workers at a large factory, the number of sick days taken per year is normally…

A: Given that, Among the workers at a large factory, the number of sick days taken per year is normally…

Q: The time needed to complete a final examination in a particular college course is…

A:

Q: To evaluate a new release of a database management system, a database administrator runs a benchmark…

A: Given,mean(μ)=95standard deviation(σ)=10

Q: Assuming weights of female athletes are normally distributed with a mean of 140 lbs and a standard…

A: Let, X: The weights of female athletes. Given: Mean = μ = 140 lbs Standard deviation = σ =15 lbs We…

Q: At a local restaurant, the amount of time that customers have to wait for their food is normally…

A: The mean is 24 and the standard deviation is 3.

Q: At a local restaurant, the amount of time that customers have to wait for their food is normally…

A: We have given that,  X be the random variable from normal distribution with mean = 28 and standard…

Q: Based on historical data, it is reasonable to assume that the number of points that students receive…

A:

Q: Assume that the foot length of adult males is normally distributed with mean 11 inches and standard…

A: Answer - Given X   ~  N( μ, σ )                 Where   μ =11 inches     and   σ  = 1.5 inches…

Q: According to the June 2004 Readers' Digest article "Only in America," the average amount that a…

A: Define the Random Variables, Xi : Spending of i th 17 years old Given, Xi ~ N( 650,1782) i…

Q: The reading speed of second grade students is approximately normal, with a mean 83 WPM and a…

A: Given,   Mean = 83 Standard deviation = 11

Q: Based on a recent study, the household utility bills for three-room flats in Singapore can be…

A: P(X>155)=1-Pz<155-12538=1-Pz<0.79=1-0.7852=0.2148

Q: Moore Reno, an officer in the highway patrol group, observed that the speeds of vehicles on a…

A:

Q: A random sample of 16 junior managers in the offices of corporations in a large city center was…

A:

Q: A large corporation pays its employees an average of $64,000 per year with a standard deviation of…

A:

Q: The amount of time that customers wait in line during peak hours at one bank is normally distributed…

A: Here it is given that, Mean (μ) = 12Standard Deviation (σ) = 2 Let X be a random variable which…

Q: Consider that in a population of Filipino adults ages 18 to 65, Body Mass Index (BMI) is normally…

A: Given that, Mean, mu= 28 And standard deviation, sigma= 6 P(X=x)= 20% = 0.20 We know that,  Z score=…

Q: A report in 2010 indicates that Americans between the ages of 8 and 18 spend an average of µ = 7.5…

A: Given,mean(μ)=7.5standard deviation(σ)=2.5

Q: At a customer service call center for a large company, the number of calls received per hour is…

A: Let X represent the random variable   Mean=140 SD=5   X~ Normal (140, 5^2)

Q: The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is…

A: Solution: Let X be the number of miles between services. From the given information, X has mean…

Q: A quality control company was hired to study the length of meter sticks produced by a certain…

A: As per our guidelines we can solve first three subpart and rest can be reposted. Solution-: Given:…

Q: Following an investigation of 250 households in Gombak, Kuala Lumpur, researchers discovered that,…

A: It is given that the after investigating 250 households, the average food waste is 32 kg with…

Q: A recent report indicates that 2-year-old children from well-educated suburban families watched an…

A: It is given that the mean is 60 and standard deviation is 25.

Q: Suppose a survey finds that the mean monthly rent of a two-bedroom apartment in seattle is $560,…

A: Given Information:Mean, μ=$560Standard Deviation, σ=$35

Q: In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with…

A:

Q: After collecting data on remote education for over a year, it was found that the daily screren-time…

A:

Q: The on-campus housing costs for a semester at a state university are Normally distributed with a…

A: a)If X~Nμ,σ2, then the mean, x~Nμ,σn                     where n is the sample size, n=50 Here, it…

Q: Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Let X be the transport time. From the given information, X has mean µ=28 minutes and a standard…

Q: In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with…

A: Given data,Mean μ=69.7sd σ=3P(X>70)=?

Q: Based on historical data, it is reasonable to assume that the number of points that students receive…

A:

Q: If we know that the length of time it takes a college student to find a parking spot in the library…

A: Consider a random variable X which, follows normal distribution, indicates the time to find a…

Q: After collecting data on remote education for over a year, it was found that the daily screren-time…

A: Here mean = 357 min Standard deviation  = 59 min Here use standard normal distribution table for…

Q: A small centre has found that the number of jobs submitted per day to its computers has a…

A: The empirical rule for variables is as follows: 68% of all possible observations lie within one…

Q: A report from 2010 indicates that Americans between the ages of 8 and 18 spend an average of μ = 7.5…

A: Given: Americans between the ages of 8 and 18 spend an average of μ = 7.5 hours per day distribution…

Q: 11 and the standard deviation is 1.5. (a)What is the probability of randomly selecting a man with a…

A:

Q: In a study of long distance telephone calls, it was found that the lengths of the calls are normally…

A: Note: Hey, since there are multiple subparts posted, we will answer first three subparts. If you…

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 66 inches…

A: Let "x" be the heights of 18-year-old men. Draw the normal curve and shade the area between…

Q: The heights of 18 year-old men are approximately normally distributed, with a mean 68 inches and a…

A:

Q: Suppose that the monthly charges for cell phone plans in the United States are normally distributed…

A:

Q: According to the American Time Use Survey results released by the Bureau of Labor Statistics on June…

A: Given : μ = 168 , σ= 20 and n= 400       By Central Limit Theorem, x̅ follows a Normal…

Q: A report in 2010 indicates that Americans between the ages of 8 and 18 spend an average of μ = 7.5…

A: Given Let X: Americans between the ages of 8 and 18 spend  hours per day using some sort of…

Q: Based on data from the National Health Board, weights of men are normally distributed with a mean of…

A:

Q: A manufacturing company measures the weight of boxes before shipping them to the customers. If the…

A: Given, µ=90 σ=24 n=36

Q: In a study of life expectancy in a certain region, the mean age at death was 70 years, and the…

A:

Q: The time that a shopper spends in the grocery store is normally distributed, with a mean of 45…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: According to the children’s growth chart that doctors use as a reference, the heights of…

A:

Q: . The on-campus housing costs for a semester at a state university are Normally distributed with a…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: After an exhaustive university-wide student survey, it was found that the IQ scores of Brac…

A: Given,Mean(μ)=95standard deviation(σ)=20

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.