Suppose an iPod has 3,000 songs. The histogram below shows the distribution of the lengths of these songs. We also know that, for this iPod, the mean length is 3.45 minutes and the standard deviation is 1.63 minutes. Calculate the probability that a randomly selected song lasts more than 5 minutes (notice that the distribution is skewed).  (please round to four decimal places) You are about to go for an hour run and you make a random playlist of 15 songs. What is the probability that your playlist lasts for the entire duration of your run? Hint: If you want the playlist to last 60 minutes, what should be the minimum average length of a song? (You may assume that the conditions for using the CLT are met) The minimum average length of a song if the playlist is to last the full 60 minutes can be:  minutes The probability requested is:  (please round to four decimal places) You are about to take a trip to visit your parents and the drive is 6 hours. You make a random playlist of 100 songs. What is the probability that your playlist lasts the entire drive?  (please round to four decimal places)

Q: 6. The size of fish is very important to commercial fishing. A study conducted in 2012 found the…

A: From the provided information, Mean (µ) = 42.1 cm Standard deviation (σ) = 2.98 cm X~N (42.1, 2.98)…

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: From the provided information,Mean (µ) = 162000Standard deviation (σ) = 36000Sample size (n) = 58

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A: (a)   Obtain the probability that pregnancy will last 307 days or longer. The probability that…

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Q: CNNBC recently reported that the mean annual cost of auto insurance is $962. Assume the standard…

A: Given information: The mean annual cost of auto insurance is $962. The standard deviation is $190.…

Q: Micheal invested $2000 in a certain stock. At the end of the year the stock could be worth $1600,…

A: Given: Micheal invested $2000 in a certain stock. At the end of the year the stock could be worth…

Q: Answer = Find the probability that a sample of size n = 92 is randomly selected with a mean that is…

A: given  population  mean  μ  = 120000    population standard deviation σ   = 30000     given sample…

Q: 2. Suppose that the mean lifetime of a random sample of 25 batteries produced by a factory is 700…

A: Solution: 2. Let X be the lifetime of a battery. From the given information, X follows normal…

Q: Facebook provides a variety of statistics on its Web site that detail the growth and popularity of…

A: X~N(mean=28, sd=5)

Q: The average time Filipino spent in streaming site is 15 hours per week. Suppose a sample of 65…

A: Define the random variables, Xi : Amount of time spent in streaming site. i=1,2,3,...,65 Given, µ=…

Q: In the 2014 MLB season the Los Angeles Dodgers won 94 games and lost 68 to finish in first place in…

A: We have to sketch a normal distribution curve.

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 76 mph and…

A:

Q: Below represents the amounts that a random sample of employees reported that they spent on dinner…

A:

Q: ← In a sample of 13 randomly selected high school seniors, the mean score on a standardized test was…

A: Given that, Sample size (n) = 13 Sample mean (x̅) = 1189 Sample standard deviation(s) = 160.0…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300⁢lbs and the…

A:

Q: A researcher showed the mean of weights of college football players to be 200 pounds with a standard…

A:

Q: Los Angeles workers have an average commute of 33 minutes. Suppose the LA commute time is normally…

A: Let, x denotes the commute time for randomly selected LA worker. It is given that- x~N33,13

Q: Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8…

A: Given that  Mean = 8 Standard deviation = 2 Find P(X = 8 )

Q: Today, the waves are crashing onto the beach every 5.4 seconds. The times from when a person arrives…

A: Solution: Let X be the times from when a person arrives at the shoreline until a crashing wave. From…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs. and the…

A: Let "X" be the weight of steers in a herd.

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: ) What percent of the SAT verbal scores are less than 600​? (b) If 1000 SAT verbal scores are…

A:

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the…

A: From the provided information,Mean (µ) = 1000Standard deviation (σ) = 200X~N (1000, 200)

Q: The average teacher's salary in Connecticut (ranked first among states) is $57,337. Suppose that the…

A: Given that  Mean = M = 57337 Standard deviation = SD = 7500 X ~ Normal ( M = 57337 , SD = 7500 )…

Q: res light bulbs that have a length of life that is normally distributed with mean equal to 821 hours…

A:

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A:

Q: A newly-hired school registrar in a Science High School would like to determine the overall…

A:

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: given data,normal distribution μ=5σ=3probability that person will wait more than 9 minutes =?

Q: IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual…

A: Let X = IQ of an individual.  The probability that the person has an IQ greater than 140.

Q: Solve the following problem and show your complete solutions. Explain your answer for better…

A: The length of time that a phone will work before it needs charging is normally distributed with mean…

Q: 2. The nicotine content in a single cigarette of a particular brand has a mean of 0.8 mg and a…

A: From the given information ,0.8 mg 0.1 gmsample size, n = 100We have to find the probability that…

Q: The lengths of pregnancies are normally distributed with a mean of 270 days and a standard deviation…

A: We have given that.  Mean = 270 , Standard deviation = 15 , We need , Part (a): p(x greater than…

Q: A manufacturing company produces electric insulators. You define the variable of interest as the…

A: Confidence Interval: Confidence interval is the interval estimate of the population parameter. It is…

Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

A:

Q: According to BusinessWeek, 44% of advertisers claim they have been a victim of internet click fraud.…

A: The mean is, μ=np=120×0.44=52.8 The mean is 52.8. The standard deviation is,…

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: The electric bills for all households in a large city have the normal distribution with a mean of…

A:

Q: TV sets: According to the Nielsen Company, the mean number of TV sets in a U.S. household in 2013…

A: given  mean μ=2.24 standard deviation σ=1.2 n=80

Q: The IQ of highschool seniors is normally distributed with a mean of 100 and a standard deviation of…

A: The sample size is n=15. The population mean is μ=100. The population standard deviation is σ=15. We…

Q: According to government data the probability that an adult was never in a museum is 11%, in a random…

A: Givenp=0.11sample size(n)=20Let "x" be the no.that were never in a…

Q: Regardless of the kind of workout a gym goer does, the mean time spent on the treadmill is 45…

A: Given,sample size(n)=36mean(μ)=45standard deviation(σ)=15

Q: A professor knows that her statistics students' final exam scores have a mean of 79 and a standard…

A:

Q: About 75% of all female heart transplant patients will survive for at least 3 years. Sixty female…

A:

Q: Children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the…

A: A normal distribution follows a bell shaped curve which is centred at the mean and it is also called…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.