Suppose that the speed at which cars go on the freeway is normally distributed with mean 75 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. b. If one car is randomly chosen, find the probability that it is traveling more than 72 mph. d. 84% of all cars travel at least how fast on the freeway? mph.

Q: In the ballast water that is discharged from a ship there is a concentration of 10 organisms per…

A: The total number of organism are concentrated in per cubic meter is 10.

Q: While checking receipts at The Hog Cafe, it was determined that the average amount spent on food per…

A: Given that,  Let X be the random variable from normal distribution with average or mean (μ) = $21.50…

Q: Suppose the age that children learn to walk is normally distributed with mean 11 months and standard…

A:

Q: 17. Suppose that the amount of time moviegoers wait in line to buy tickets at the box office is…

A:

Q: SUPPOSE THAT THE VOLUME OF MINERAL WATER IN THE 2-GALLON CONTAINERS A CERTAIN MINERAL WATER STATION…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Suppose 150 people take a quiz, and say the mean score was a 100 out of 200 points, with a standard…

A: The provided information is:

Q: A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed…

A: Given data,Mean μ=88sd     σ=10P(X≥80.8)=?

Q: According to a study done by UCB students, the height for Martian adult males is normally…

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

Q: Suppose that a college determines the following distribution for X = number of courses taken by a…

A: Note: Thank you for the question. As your question has more than 3 parts, according to our policy,…

Q: The amount of time between taking a pain reliever and getting relief is normally distributed with a…

A: Let us denote X= time between taking a pain reliever and getting relief Given that X follows a…

Q: Given a distribution that has a mean of 37 and a standard deviation of 12, calculate the probability…

A: Solution: From the given information, µ=37, σ=12 and n=64.

Q: Assuming that the group of students with a grade arithmetic mean of 70 and a standard deviation of…

A:

Q: Assume that the ages for first marriages are normally distributed with a mean of 26 years and a…

A:

Q: 199. If the average cost of a hospital stay is $4200 with a standard deviation of $1000, and…

A: Given Data : Population Mean,μ = 4200 Population Standard Deviation,σ = 1000

Q: Suppose the distribution of the weights of ground beef follows a normal distribution with a mean of…

A: Let X denote the distribution of the weights of ground beef follows a normal distribution with a…

Q: Assume the average attendance of a college game is normally distributed with a population mean of…

A:

Q: Suppose that people heights (in centimeters) are normally distributed, with a mean of 170 and a…

A:

Q: Suppose the heights of Australian adult males are normally distributed with a population mean of 174…

A:

Q: The porosity of Wara formation is normally distributed with a mean of 18% and a standard deviation…

A: Given, Mean = 18% Standard deviation = 4% The distribution is normal distribution.           To…

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches…

A:

Q: Assume that the heights of men are normally distributed with a mean of 67.2 inches and a standard…

A:

Q: The test scores of a physics class with 800 students are distributed normally with a mean of 75 and…

A: Given Information: The test scores of a physics class with 800 students are distributed normally…

Q: c. What fraction of babies is more than 1.5 standard deviations from the mean in either direction?…

A: Given,

Q: assume that X is normally distributed with a mean 1550 and standard deviation of 75. find the…

A:

Q: The length of eels (in cm) in a river may be assumed to be normally distributed with a mean of μ=46…

A: We want to find the probability by using standard normal distribution table

Q: Ex: an electronics company manufactures resistors that have a mean resistance of 95 ohms and a…

A:

Q: A sample of 36 is taken from a population that is normally distributed with mean 15 and standard…

A:

Q: For women aged 18-24, systolic blood pressures (in mm Hg) are normally distributed with a mean of…

A: Here the systolic blood pressure is normally distributed with mean=114.8 and standard…

Q: An airliner carries 350 passengers and has doors with a height of 74 in. Heights of men are normally…

A: (a) Obtain the Z-score for the random variable X equals 74. The Z-score for the random variable X…

Q: Let x be a normal ramdon variable with a mean =36 and standard deviation = 7.33 find the probability…

A: we have to find the probability that x is at most 30...

Q: The average height of flowering cherry trees in a certain nursery is 10.5 feet. If the heights are…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a…

A: Let X denote the IQ scores of adults. Given that X follows N(mean = 105, SD = 20), then Z = (X -…

Q: The average individual monthly spending in the United States for paging and messaging services is…

A: Suppose a random variable X has mean µ and standard deviation σ. Therefore, the z-score of that…

Q: Suppose that the commuting time on a particular train is uniformly distributed between 50 and 60…

A: The pdf  of the continuous uniform distribution is f(x)=1b-a ~a≤x≤b∑(X)=a+b2var(X) = (b-a)212

Q: The amount of time between taking a pain reliever and getting relief is normally distributed with a…

A:

Q: The average student loan debt for college graduates is $25,600. Suppose that that distribution is…

A:

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a…

A: It is given that the,  that the readings on the thermometers are normally distributed with a mean of…

Q: To estimate the mean age for a population of 4000 employees, a simple random sample of 40 employees…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

A:

Q: Based on data from 1996-2006 from the Western Regional Climate Center, the average speed of winds in…

A:

Q: Assume that the traffic to the web site of Smiley's People, Inc., which sells customized T-shirts,…

A: Given Information: Mean number of visitors (u) = 4,580,000 visitors per day Standard deviation (s) =…

Q: The lengths of a particular animal's pregnancies are approximately normally distributed, with mean…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: A construction firm manufactures steel and is normally distributed with mean equal to 800MPa and a…

A: Given, the standard deviation is,σ=40 The mean is, μ=800

Q: From long-term observation, it is known that the waiting-time for non-ambulance adult arrivals in a…

A: GivenMean(μ)=120standard deviation(σ)=50sample size(n)=200

Q: The amount of time between taking a pain reliever and getting relief is normally distributed with a…

A: The mean  and standard deviation are μ=22,σ=5 so the probability that the time is atleast 30 minutes…

Q: Suppose 150 people take a quiz, and say the mean score was a 100 out of 200 points, with a standard…

A:

Q: The average student loan debt for college graduates is $25,650. Suppose that that distribution is…

A: Given: Mean, μ= 25650 Standard deviation, σ= 14350 (b) Probability that college graduates has…

Q: Suppose 150 people take a Disney princess trivia quiz, and say the mean score was 100 out of200…

A:

Q: The height of all 3-year-old females is approximately normal with a mean of 38.72 inches and a…

A:

Q: Suppose the age that children learn to walk is normally distributed with mean 13 months and standard…

A: As per our guidelines we are suppose to answer three sub parts.