Assume that X is normally distributed with a mean of 8 and a standard deviation of 3. Determine the probabilities and the x, where it is necessary: а. Р(Х <7) Ь. Р(4 <х < 12)
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…
A:
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…
A:
Q: Assume that adults have IQ scores that are normally distributed with a mean of y = 100 and a…
A: The objective of this question is to find the probability that a randomly selected adult has an IQ…
Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…
A:
Q: Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per…
A: Given, Assume that females have pulse rates that are normally distributed with a mean of μ=74.0…
Q: Americans receive an average of 17 Christmas cards each year. Suppose the number of Christmas cards…
A:
Q: Assume the random variable X is normally distributed with a mean of 86 and a standard deviation of…
A:
Q: Given a random variable X, we consider the probability that the distance between X and its mean is…
A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…
A: The provided information are: μ=100σ=15 X=IQ scores of adults X~N(μ=100,σ=15) to calculate the…
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…
A:
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…
A: Z = x-μσ~N(0,1)
Q: The probability that a randomly selected adult has an IQ less than 128 is (Type an integer or…
A: Given: Consider X as a random variable that follows a normal distribution with mean 22 and…
Q: A. Suppose X ~ N(2, 3). What value of x has a z-score of −0.71? (Enter an exact number as an…
A:
Q: The percent of fat calories that a person consumes each day is normally distributed with a mean of…
A: GivenMean(μ)=33standard deviation(σ)=10sample size(n)=9
Q: Suppose the scores on an exam have a mean of 60 with a standard deviation of 10. If one student has…
A:
Q: Assume the amount of weight is normally distributed with a mean = 1.2 kg and standard deviation of…
A:
Q: Assume that the amounts of weight that male college students gain during their freshman year are…
A: a mean of μ=1.1 kg and a standard deviation of σ=4.5 kg.If 9 male college students are randomly…
Q: Assume that females have pulse rates that are normally distributed with a mean of μ=72.0beats per…
A: Given data, μ=72 σ=12.5
Q: Assume that X is normally distributed with a mean of 12 and a standard deviation of 2. Determine…
A: Given information is as follows; Mean , µ = 12. Standard deviation , σ = 2. Then X ~ Normal ( µ =…
Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…
A:
Q: A) What is the z-score of x = 3, if it is 1.1 standard deviations to the left of the mean? B)…
A: Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To…
Q: (a) The probability that X₁ - X₂ exceeds 3. (b) The probability that 4.2 ≤ X₁ X₂ ≤ 5.2.
A: It is given that For first sample, n1 = 13, mean = 73 and SD = 7 For second sample, n2 = 7, mean =…
Q: For a certain year, the average annual salary in Pennsylvania was $25,000. Assume that the salaries…
A:
Q: Assume the random variable has a mean of 30 and a standard deviation of 6. Consider taking repeated…
A: For the given random variable, the specified parameters are:The mean, μ=30.The standard deviation,…
Q: Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a…
A: Given Data Population Mean,μ = 0 Population Standard Deviation,σ = 1
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…
A: The random variable X follows binomial distribution. The population mean is 105. The population…
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100and a standard…
A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 20 Let X be a random variable…
Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
Q: 4. Suppose X1 is normally distributed with a mean of 3 and standard deviation of 0.3. Suppose X2 is…
A: It is given that X1~N(3,0.3) and X2~N(5,0.7). That is, E(X1)=3, SD(X1)=0.3 and E(X2)=5, SD(X2)=0.7.…
Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…
A: Required probability is P(Z<-0.789)
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…
A: Given : Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a…
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…
A: Given Information: IQ scores are normally distributed with a mean of μ=100 and a standard deviation…
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…
A: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…
Q: The profits of a mobile company are normally distributed with Mean of R.O (180) and standard…
A:
Q: Assume that adults have IQ scores that are normally distributed with a mean of mμ=100 and a standard…
A:
Step by step
Solved in 2 steps with 2 images
- Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 93 and 117.The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 15 days. Let X be the length of a randomly recorded pregnancy in the village. What is the distribution of X? X ~ N (,) Please show the following answers to 4 decimal places. If a pregnancy randomly chosen in the village, find the probability that it lasted less than 244 days. If a pregnancy randomly chosen in the village, find the probability that it lasted between 290 and 298 days. Please show the following answer to a whole day. The 72nd percentile pregnancy length in this village is ___________ days.Assume that the random variable X is normally distributed with mean = 15 and standard deviation = 2. Let n = 4. Find P( > 16) and P( < 16).
- Let XX represent the full height of a certain species of tree. Assume that XX has a normal probability distribution with a mean of 97.9 ft and a standard deviation of 5.4 ft.A tree of this type grows in my backyard, and it stands 86 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.P(X<86)P(X<86) = My neighbor also has a tree of this type growing in her backyard, but hers stands 112.5 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.P(X>112.5)P(X>112.5) = Enter your answers as decimals accurate to 4 decimal places.Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of O°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. If 1.7% of the thermometers are rejected because they have readings that are too high and another 1.7% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others. interval of acceptable thermometer readings = ɔ.The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X=percent of fat calories. Round all answers to two decimal places. A. X ~ N( , ) B. Find the probability that a randomly selected fat calorie percent is more than 28. C. Find the minimum number for the upper quarter of percent of fat calories. D. Find the z-score of an American who consumes 26 fat calories a day. E. How many fat calories does an American consume a day if their z-score is 0.
- Roll the correct die 100 times. Find: a) the average of the dropped points Enter the exact answer. а) M(X)= b) the variance of the amount of dropped points Enter numbers with a dot separator to one decimal place, for example 121.3. b) D(X)= c) the standard deviation of the sum of the dropped out points. Enter numbers with a dot separator to one decimal place, for example 12.3. c) σ (X) =Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=15. Find the probability that a randomly selected adult has an IQ less than 123.Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 275 feet and a standard deviation of 35 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly hit fly ball travels less than 265 feet. Round to 4 decimal places.
- Assume that the readings on the thermometers are normally distributed with a mean of 0∘ and a standard deviation of 1.00∘C. A thermometer is randomly selected and tested. Find the probability of each reading in degrees.(a) Between 0 and 1.64: (b) Between −2.89 and 0: (c) Between −1.78 and 1.03: (d) Less than −2.79: (e) Greater than 2.62:Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=15. Find the probability that a randomly selected adult has an IQ between 89 and 121.