Suppose that it is known that the number of items produced in a factory during a week is a random variable with mean u = 50. If the variance of a weeks production is know to equal 25, then the probability that this weeks' production will be between 40 and 60 is

Q: Suppose an experiment is to toss three coins: two fair coins and a positively biased coin (more…

A: Introduction: Denote Xi = 1 if the outcome on the ith coin is a head (i = 1, 2, 3), and Xi = 0 if…

Q: A random sample of size n = 244 is taken from a population of size N = 5,200 with mean μ = −73 and…

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Q: Steel produced by company A has an average tensile strength of 4500 lbs and a variance of 40000 lbs,…

A: Solution: Given information: nA= 50  Sample size of company A nB= 100 Sample size of company  B μA=…

Q: If the range of X is the set {0,1,2,3,4} and given that each outcomes are equally like to occur,…

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Q: The probability of a defective product produced in a production process is 0.26. What is the…

A: From the provided information, The probability of a defective product produced in a production…

Q: In its journey a bus passes through 5 traffic lights, each light has the same probability of being…

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Q: Assume the probability that a maple tree at age 5 grows less than 150 cm is equal to 0.3. If the…

A: Given Data: Let X represent the height of the maple tree P(X<150)=0.3 σ=64=8

Q: then the value of variance of X is

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

Q: On average, a certain machine breaks down twice per week. (i) Find the probability that it breaks…

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Q: two independent random samples of size n1 = n2 = 8 come from normal populations with the same…

A: Given: Sample size n1 = n2 = 8 Ps12 ≥  7s22 needs to be calculated.

Q: Suppose that the monthly demand for a consumer good follows a normal distribution with an average of…

A: From the given information, Consider, X that the monthly demand for a consumer good follows a normal…

Q: Assume the probability that a maple tree at age 5 grows less than 170 cm is equal to 0.25. If the…

A: Given that,  P(X<170) = 0.25 We know that 0.25 is the 60th percentile for normal distribution, Or…

Q: If the probability of a defective article is 1/10, find the Mean, Variance, Momer Coefficient of…

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Q: In a recently conducted survey, workers reported driving an average of 36 miles one way on their…

A: Given Population mean = 36miles Population standard deviation =5

Q: In an industrial setting, process steam has been found to be normally distributed with an average…

A: Given: The process steam in the industrial setting is normally distributed. The average value is…

Q: Suppose Bob rolls a fair die 100 times and X = number of 1's he gets. What is the variance of X?

A: Given: n = 100 P( obtaining a 1 on die) = 1/6 = p X = number of 1's obtained

Q: Suppose that the random variable X has mean u and variance o >0. What are the values of a and b>0…

A: Given data: The given expression is Y=a+bX. The given mean is μ=0. The given variance is…

Q: Assume the probability that a maple tree at age 5 grows less than 130 cm is equal to 0.1. If the…

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Q: a batch of rods produced at a plant have a mean length of 151 mm, and a variance of 64. If 116 rods…

A: Z= x¯-μσ/n~ N(0,1)

Q: it is Known that a company completes a certain type of order in average of 30 minutes with a…

A: Given  Type 1  mu1=45, n1=35, sigma1=15 Type 2 mu2=30,n2=40, sigma2=20 We want to find the…

Q: Suppose that 1 in 1,000 doctors make an incorrect diagnosis of a patient’s illness. If 10,000…

A: It is given that 1 in 1000 doctors make an incorrect diagnosis of a patient’s illness. Therefore,…

Q: An analogue signal received at a detector, measured in microvolts, is normally distributed with mean…

A: Given that mean =200 ,s.d =16

Q: During a month in Adana, it rains with probability 2/3 each day, independently of every other day.…

A: The probability of raining each day is p = 2/3

Q: It is reasonable to model the number of winter storms in a season as with a Poisson random variable.…

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Q: The variance of the random variable aX is equal to a times the variance of X.

A: The variance of the random variable aX is equal to a2 times the variance of X i.e.  We have to prove…

Q: Suppose that we have disjoint normal populations A and B with equal population variances. Suppose we…

A: From the given information, n1=6 n2=12 σ1=σ2=14 pooled variance: spooled2=(n1-1)σ12+(n2-1)σ22n1+n2-2…

Q: In a normally distributed population with a mean of 50 and a variance of 64, luck samples of n = 9…

A: It is an important part of statistics. It is widely used.

Q: Let X be an exponential random variable with mean 1 and X, a gamma random variable with mean 2 and…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Suppose that in a sample of 30 patients, the variance of a randomly selected person having a genetic…

A: From the provided information, Sample size (n) = 30 Variance (σ2) = np (1-p) = 3.7

Q: Suppose an experiment is to toss three coins: two fair coins and a positively biased coin (more…

A: Let us assume that, the biased coin shows Head with probability p. where p>0.5. Define the random…

Q: Suppose bob flips a fair coin 100 times.Let X be the number of heads he gets.What is Variance of X?

A: For a fair coin the probability of getting head= 0.5X=number of headsn=sample size=100p=probability…

Q: In an art school, the time it takes for students to paint a dessin painting is normally distributed…

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Q: Suppose an experiment is to toss three coins: two fair coins and a positively biased coin (more…

A: Introduction: Denote Xi = 1 if the outcome on the ith coin is a head (i = 1, 2, 3), and Xi = 0 if…

Q: Suppose the horses in a large stable have a mean weight of 807 lbs, and a variance of 5776. What is…

A: Assume,  x denotes the sample mean weight of horses (in lbs). μ denotes the population mean weight…

Q: he daily demand for a certain product is approximately normally distributed with mean 50 and a…

A: Given Data: Mean=50 Variance=100   X~ Normal (50, 102)

Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 7.847.84 and…

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Q: The lifetime of a light bulb is normally distributed with the mean 3000 hours and a variance of 1392…

A: We have given that,  The lifetime of a light bulb are normally distributed with mean (Mu) = 3000…

Q: Suppose babies born in a large hospital have a mean weight of 3685grams, and a variance of 330,625.…

A: Given: μ=3685σ2=330625

Q: Suppose that we have disjoint normal populations A and B with equal population variances.   Suppose…

A: Given Data: n1=4        n2=9σ12=6        σ22=6   Calculating population pooled variance:…

Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 9 and a mean…

A: The standard normal variate is calculated using the sample mean, population mean, population…

Q: Exercice 9: Suppose that the life span of the lamp posts in Ottawa is normally distributed with an…

A: Given : Mean , μ = 80 month Standard deviation , σ = Variance = 800 = 28.2842 month   First we will…

Q: Consider a random variable X that is equal to the sum of the outcomes of a 4-sided dice throw and a…

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Q: One sample has n = 10 scores and a variance of s2 = 20, and a second sample has n = 15 scores and a…

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Q: The mean height of 15-year-old boys (in em) is 175 and the variance is 64. For girls, the mean is…

A: As given that : Mean for height of boys: X1=175 And variance : σ12=64 Mean for height of girls:…

Q: 2- The variance can never be: a) Zero b) Smaller than the standard deviation

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Q: Suppose it is believed that the probability a patient will recover from a disease following…

A: Given that the probability a patient will recover from a disease following medication is 0.8.…

Q: The manager of a stockroom in a factory knows from her study of record that x, the daily  demand (…

A: 1) Properties of probability: The probability value lies between 0 and 1 (inclusive). That is 0 ≤…