During the global pandemic, a high speed internet is required to ensure students are able to complete the educational tasks assigned for online learning. It is recommended that the speed of internet to accomplish the given tasks is normally distributed with mean 8.1 Mbps and standard deviation 2 Mbps. a) If 50 students are randomly selected, find the probability that the mean speed of internet to accomplish the educational tasks is greater than 7.5 Mbps. b) Suppose a random sample of k students were selected, determine the value of k such that only 5% of the mean internet speed required to complete the tasks is less than 7 Mbps

Q: Consider a population that has an average score of 100 that is normally distributed (standard…

A: Solution-: Given: μ=100,σ=1 Let, X- be the score We want to find P(X<100)=?

Q: The speed of cars on a stretch of road is normally distributed with an average 48 miles per hour…

A: GivenMean(μ)=48standard deviation(σ)=5.9

Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…

A: From the provided information, Mean (µ) = 186 lb Standard deviation (σ) = 45 lb Let X be a random…

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

A: Given,Mean, μ = 202.2 cmStandard deviation, σ = 1.8 cmLet X be a random variable represents the…

Q: Suppose a convenience store averages 450 customers per day entering the store with a standard…

A: Let X be a random variable following normal distribution with mean μ and variance σ2, i.e.,…

Q: The number of raisins in a randomly chosen Jamaican spice bun can be modeled as a random variable…

A: The random variable number of raisins follows Poisson distribution with mean 5.2.

Q: 33% of the Population has 20/20 vision if 70 individuals are selected at random from the Population…

A: Sample size : n = 70P(20/20 vision) : p = 0.33x = Number of people with 20/250 visionMean of X :  =…

Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…

A:

Q: The annual rainfall amount in Izmir is approximately normally distributed with mean 102.108 cm and…

A:

Q: A quart of Parker's milk contains a mean of 42 grams of butterfat, with a standard deviation of 2.5…

A:

Q: The time required to complete a marathon run is normally distributed with a mean of 360 minutes and…

A: From the provided information, Mean (µ) = 360 minutes Standard deviation (σ) = 15 minutes Let X be a…

Q: The scores in a cricket tournament are normally dostributed with mean 211 runs and standard…

A: From the provided information, Mean (µ) = 211 Standard deviation (σ) = 34 X~N (211, 34)

Q: The monthly household income of a certain district in Manila is a normally distributed random…

A:

Q: In a poll of 531 human resource​ professionals, 53.9​% said that body piercings and tattoos were big…

A: Sample size (n) = 531 Out of which 53.9% said that body piercings and tattoos were big grooming red…

Q: In a study of zebras, it was found that the pregnanciesof zebrasare normally distributed with a mean…

A: Solution: Let X be the pregnancies of zebras. From the given information, X follows normal…

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: It is an important fact in statistics . It has got wide applications in all statistical fields .

Q: The annual rainfall amount in Izmir is approximately normally distributed with mean 102.108 cm and…

A: From the given information: Consider, X be a random variable denoting the annual rainfall amount in…

Q: An automobile battery manufacturer claims that its midgrade battery has a mean life of 50 months…

A: Given: X~N(μ,σ)μ=50σ=6

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

A: Mean = 139.1 Standard deviation = 1.1

Q: The scores of a reference population on the Wechsler Intelligence Scale for children(WISC) are…

A: Given data: Normal distribution is given Mean = 100 Standard deviation  = 15 To find: The…

Q: 2. A special sensor is used to measure speeds of cars on a highway. The speeds are normally…

A: Let X be the random variable from normal distribution with mean (μ) = 90 and standard deviation (σ)…

Q: The annual precipitation for a large Midwest city is 34.0 inches with a standard deviation of 5.0…

A:

Q: What is the probability that a randomly selected customer will have to wait between 33 minutes and…

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

Q: firm manufactures light bulb whose length of life follows a normal distribution with mean 90 hours…

A: Given data,Mean μ=90sd      σ=2P(86<X<96)=?

Q: Assume that the heights of women are normally distributed with a mean of 64.1 inches and a standard…

A: We have given that.   X~N( μ , ?^2 )   μ = 64.1 , ? = 2.3   Z-score =( x - μ )/?

Q: Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an…

A: GivenMean(μ)=32standard deviation(σ)=8sample size(n)=38

Q: A study found that the mean migration distance of the blue crab in the Chesapeak bay is 14.1 km with…

A: Given data,Mean μ=14.1sd     σ=1.6P(11<X<17)=?

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: The annual rainfall in a large metropolitan area is approximately normal with a mean of 42 inches…

A: Let us assume that X=The annual rainfall in a large metropolitan area  Given that X follows a normal…

Q: The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 40…

A: Given data  Normal distribution  μ = 40 litersσ = 7.7 liters

Q: In a certain geographical region, the annual rainfall is normally distributed with a mean of 102.2…

A:

Q: study found that the mean migration distance of the blue crab in a Chesapeake Bay area was 14.1 km…

A:

Q: The weights of coconuts from a plantation have mean 3 and standard deviation 1 (pounds). Fifty…

A: GIVEN DATA μ = 3σ = 1n = 50 P(∑x>165) = ?

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

A:

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

A: Solution-:Given: Let, X= the lengths of the steel rodswe want to find P(the length of a randomly…

Q: he level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful…

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Q: Elephants are the mammals with the longest gestation period.  One species of elephant has a mean…

A: We have find probabiity..

Q: The bicycle manufacturer imports chains from the company CHX. The average life of the chains is 1500…

A:

Q: The time taken to complete a maths exam is normally distributed with a mean of 108 minutes and a…

A:

Q: Assume that heights of U.S. men between 45 and 50 years of age are normally distributed with mean 70…

A: From the information, sample size is 49, mean 70 inches and a standard deviation of 0.75 inches

Q: The height of 10 year old females is normally distributed with a mean of 54.8 inches and a standard…

A: It is given that mean and standard deviation are 54.8 inches and 2.74 inches, respectively.

Q: The life expectancy of a particular brand of tire is normally distributed with a mean of 60,000 and…

A:

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.