Assume that the traffic to the web site of Smiley's People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 4.58 million visitors per day and a standard deviation of 700,000 visitors per day. (a) What is the probability that the web site has fewer than 5 million visitors in a single day? If needed, round your answer to four decimal digits. 0.7549 (b) What is the probability that the web site has 3 million or more visitors in a single day? If needed, round your answer to four decimal digits. 0.9850 (c) What is the probability that the web site has between 3 million and 4 million visitors in a single day? If needed, round your answer to four decimal digits. 0.2167 (d) Assume that 85% of the time, the Smiley's People web servers can handle the daily web traffic volume without purchasing additional server capacity. What is the amount of web traffic that will require Smiley's People to purchase additional server capacity? If needed, round your answer to two dedimal digits. 5.25 million visitors per day

Q: A research firm conducted a survey to determine the average amount of money consistent smokers spend…

A: We have given that,  Let X be a random variable from normal distribution with mean(μ) = 20 and…

Q: Suppose that the heights of men in the United States are normally distributed with a mean of 65.6…

A: The mean is 65.6 and the standard deviation is 2.7.

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.9 and a standard…

A:

Q: The average student loan debt for college graduates is $25,350. Suppose that that distribution is…

A: a) The mean is 25350 and the standard deviation is 14150.

Q: The Internal Revenue Service reports that the mean federal income tax paid in a recent year was…

A: From the given information, μ=8040σ=5000n=100

Q: Assume that X, the starting salary offer for psychology majors, is normally distributed with a mean…

A: Given,mean(μ)=47,507standard deviation(σ)=5,000

Q: reau of Labor Statistics, the average American spent 2.75 hours a day watching TV between 2013 and…

A: Given: Mean, μ=2.75 Standard deviation, σ=1 To compute: P (2<X<4) The formula of normal…

Q: Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the…

A: Solution: It is given that, Population mean, 70 Standard deviation, 5 Given that Cody took his first…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 98.3 and a standard…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard…

A: GIVEN DATA , normal distribution μ=96σ=18robability that a randomly selected adult has an IQ greater…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 98.9 and a standard…

A: Let "X" be the IQ score for adults.

Q: 5. The average American adult eats an average of 6.5 gallons of ice cream per year. Assume the…

A: (5) X follows a Normal distribution with mean = 6.5 and S.D = 2.3 Then z=(x-mean)/SD =…

Q: The annual income for a sample of 450 part-time students is normally distributed with a mean income…

A: Given that.   X~N( μ , ?)   μ=31000 , ?=3000   Z-score =( x - μ )/?

Q: The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of…

A: Given: mean = 0.963 grams, standard deviation = 0.312 grams. The z-score follows standard normal…

Q: normally distributed with a mean of $39,269 and a standard deviation of $2,550. The probability…

A:

Q: Working in the garden pulling weeds/planting flowers burns an average of 200 calories per hour. If…

A: given that:- Mean, μ = 200 Standard deviation, σ = 9

Q: Assume that adults have IQ scores that are normally distributed with a mean of 104 and a standard…

A: Solution Let "X" be the IQ score of adults.

Q: Assume that adults have IQ scores that are normally distributed with a mean of 97.9 and a standard…

A:

Q: The amount of rain falling in Waimea Canyon State Park, Kauai is normally distributed with a mean of…

A:

Q: Assume the average number of fatal crashes caused by sleep-deprived drivers each year is 2,000.…

A: The mean is 2,000 and the standard deviation is 275.

Q: Assume that adults have IQ scores that are normally distributed with a mean of 95.7 and a standard…

A:

Q: ortion of firms will earn a return between 4% and 8%? B   To the nearest percent find the…

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

Q: In 2008, the per capita consumption of soft drinks in Country A was reported to be 18.81 gallons.…

A: Given:μ=18.81σ=5

Q: The lifetime risk of developing pancreatic cancer is about one in 78 (1.28%). Suppose we randomly…

A: As prof. N. G. Das said "Let there are n trials and each having two outcomes - Success and Failure.…

Q: Assume that a root beer factory’s production is normally distributed with a mean of 100,000 gallons…

A: We have to use normal distribution for finding the probability.

Q: Find the probability that a randomly selected adult has an IQ between 91 and 119.

A: Let X denote the IQ scores of the adults. Given that X follows N(mean = 105, SD = 15), then  Z = (X…

Q: assume that adults have IQ scores that are normally distributed with a mean of 99.5 and a standard…

A:

Q: The average student loan debt for college graduates is $25,950. Suppose that that distribution is…

A: From the provided information, Mean (µ) = $25950 Standard deviation (σ) = $14900

Q: company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A:

Q: Suppose that the distance of fly balls hit to 268 feet and a standard deviation of 43 feet a. What…

A: Given Data Population Mean,μ = 268.0 Population Standard Deviation,σ = 43.0

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!