Oranges chosen at random have a mean mass of 210 grams and standard deviation of 35 grams . Assuming a normal distribution what is the probability of choosing an orange with a mass between 170 grams and 250 grams

Q: The weight of all cars traveling on interstate highway I-84 is normally distributed with a mean of…

A: From the provided information,

Q: Assume the random variable X is normally distributed with mean u = 50 and standard deviation o = 7.…

A: Let X be the random variable which follows normal distribution with mean 50 and standard deviation…

Q: Assume that the scores of a college entry exam are normally distributed with a mean of 400 and a…

A: Given,mean(μ)=400standard deviation(σ)=60

Q: a normal distribution has a mean of 60 with a standard deviation of 8. for this population, which is…

A: Solution

Q: A sample is collected from the items produced by a company. The sample size is 49. The standard…

A: Answer: From the given data, Population standard deviation (σ) = 0.32 Sample size (n) = 49

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

A:

Q: The phooysoical fitness of an athlete is often measured by how much oxygen the athlete takes in…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Systolic blood pressure of males is normally distributed with a mean of 125 mm and a standard…

A: Systolic blood pressure of males is normally distributed with a mean of 125 mm and a standard…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Standardized z-score:   The standardized z-score represents the number of standard deviations the…

Q: A normal distribution has a mean of 100 and a standard deviation of 15. What is the median for this…

A: Given Mean μ=100, standard deviations σ=15

Q: A distribution of values is normal with a mean of 184.5 and a standard deviation of 26.9. Find the…

A:

Q: The heights of miniature spruce trees have a normal distribution with μ = 75.5 inches and o=2.0…

A: Given data normal distributionμ= 75.5 inchesσ = 2.0 inches

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 mean number of milligrams of sodium in a certain brand of dinner is 540mg with a standard…

A: Given Mean=540 Standard deviations=48 Sample size=64

Q: A distribution of values is normal with a mean of 189.6 and a standard deviation of 68.6. Find the…

A: Refer to Standard normal table/Z-table to find the probability of z= 1.5.ORUse excel formula…

Q: Assume that blood pressure readings are normally distributed with a mean of  125  and a standard…

A: From the provided information, Mean (µ) = 125 Standard deviation (σ) = 4.7 X~N (125, 4.7) Sample…

Q: Find the probability given a test score greater than - 1.82 and draw a sketch of the region

A: It is given that  Mean, μ = 0 Standard deviation, σ = 1 Z-Score, Z = ( X - μ )/σ

Q: The time taken by employees at Grace Floral shop to put a bouquet together has a normal distribution…

A:

Q: normal distribution has a mean of mu = 40 with sd =5. What is the probability of sampling an…

A: we want to find probability of sampling an individual with a score greater than 48

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

A:

Q: Assume that an adult female is randomly selected. Suppose females have pulse rates that are normally…

A: Solution Let "X" be the female pulse rates in bpm. Refer Standard normal table/Z-table, Lookup…

Q: The overhead reach distances of adult females are normally distributed with a mean of 38 cm and a…

A: GivenMean(μ)=38standard deviation(σ)=12

Q: Assume the random variable X is normally distributed with mean u = 50 and standard deviation o = 7.…

A: Given,μ=50σ=7Find 96th percentile?

Q: A normal distribution has a mean of u = 70 with o =3. What is the probability of sampling an…

A: We have find givan normal distribution...

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

A:

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

A: The test scores are -1.64 and 1.64.

Q: Find the probability that a dinner has 600mg or more sodium. 0.00380.0038 0.10560.1056…

A: It is given that  Mean, μ = 540 Standard deviation, σ = 48 Z-Score, Z = ( X - μ )/σ

Q: Assume that blood pressure readings are normally distributed with a mean of 123 and a standard…

A:

Q: The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which…

A: Let X is the mean maximum oxygen uptake which is normally distributed. Given: mean=μ=65.5standard…

Q: The length of time it takes college students to find a parking spot in the library parking lot…

A:

Q: normal distribution has a mean of 80 and a standard deviation of 14. Determine the value above which…

A: Given that  X~N(μ= 80 , σ= 14 ) μ= 80 , σ= 14 Formula for Z-score Z=(X-μ)/σ

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

A: It is given that the test scores follow normal distribution with mean 0 and the standard deviation…

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

A:

Q: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…

A:

Q: The line width for semiconductor manufacturing is assumed to be normally distributed with a mean of…

A: Given Data Population Mean,μ = 0.45 Population Standard Deviation,σ = 0.05

Q: Find the probability that an elite athlete has a maximum oxygen uptake of at least 80.4 ml/kg. Find…

A: Let , X→N(μ=68.5 , σ=8.5) Our aim is to find the following probabilities :  a) P(X≥80.4) b)…

Q: A normal distribution has a mean of 20 and a standard deviation of 2. What is the z value of 17.5?

A:

Q: The compressive strength of cement samples can be modelled by a normal distribution with a mean of…

A: The mean of the compressive strength is 25+6000 kilograms/m2. The standard deviation of the…

Q: Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7.…

A: It is given that, the random variable X is normally distributed with mean μ=50 and standard…

Q: he weight of a green forest frog has a normal distribution with mean 150.3 g and a standard…

A: given data,normal distribution μ=150.3σ=5we have to find out the probabilty for the given data

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Standard Normal Distribution: A random variable z is said to be a standard normal variable if z…

Q: normal distribution has a mean of u = 40 with o =4. What is the probability of sampling an…

A: We want to find the probability of sampling an individual with a score greater than 46

Q: The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which…

A: Obtain the probability that an elite athlete has a maximum oxygen uptake of at least 93.07 ml/kg.…

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!