For a normally distributed random variable, the stnadard deviation is 3.7. What us the mean if 10% of the distribution is less than 31
Q: deviation of 5 grams. If you pick 23 fruits at random, then 9% of the time, their mean weight will…
A: Given Let X be the mean weight in grams Given that X is normally distributed with mean =455 gram…
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A: Given: Population mean (µ) = 783 Population standard deviation (σ) = 20 Sample size (n) = 24…
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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
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A: Hey, since there are multiple questions posted, we will answer first question. If you want any…
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A: From the provided information, Mean (µ) = 130.8 oz Standard deviation (σ) = 3.05 oz X~N (130.8,…
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A: GivenMean(μ)=151.7standard deviation(σ)=21.9
Q: the mean for test 1 is 50. and the standard deviation is 7. then the probability that a group of 49…
A: Mean(μ)=50 standard deviation(σ)=7
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A: It is given that the statement about to the z-test. Here need to find out the given statement is…
Q: and mean
A: Given : Mean = 40.5 Standard deviation = SD = 10 Coefficient of Skewness = 0.4 Formula : 1) karl…
Q: A normal population has a mean of 75 and a standard deviation of 5. You select a sample of 40.…
A: A normal population has a mean of 75 and a standard deviation of 5. You select a sample of 40.…
Q: In a study of life expectancy in a certain region, the mean age at death was 70 years, and the…
A: given data mean age at death (μ) = 70 yearsstandard deviation (σ) = 5 yearssample size (n) = 45
Q: The probability that a football game will go into overtime is 11%. In 480 randomly selected football…
A: given datap=0.11n=480here p=pobability of go into over timex= no. of games wnt to overime
Q: The mean score for a test is 87 with a standard deviation of 12. Assuming a normal distribution for…
A: Given,mean(μ)=87standard deviation(σ)=12
Q: The mean annual cost of automobile insurance is $939. Assume that the standard deviation is a =…
A: GivenMean(μ)=939standard deviation(σ)=245sample size(n)=50
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A: We know that; X~Normal(μ,σ2) ⇒Z=X-μσ~Normal(0,1) Let X be the random variable with a normal…
Q: A particular fruit's weights are normally distributed, with a mean of 405 grams and a standard…
A: The normal distribution is the most useful theoretical distribution for continuous variable. For…
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Q: A particular fruit's weights are normally distributed, with a mean of 256 grams and a standard…
A: given data normal distribution μ = 256σ = 29n = 8P(x¯>z) = 0.17
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A: Let X be the high temperature for the month of August in Chicago is normally distributed with a mean…
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Q: Determine if the statement is true or false. In a normal distribution, about 95% of all data values…
A: we know the empirical rules…
Q: CNNBC recently reported that the mean annual cost of auto insurance is 977 dollars. Assume the…
A: Let X be the random variable from normal distribution with mean (μ) = 977 dollars, standard…
Q: A particular fruit's weights are normally distributed, with a mean of 302 grams and a standard…
A: From the provided information, Mean (µ) = 302 grams Standard deviation (σ) = 16 grams X~N (302, 16)
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A: Mean of , μ = 100 Standard deviation of , σ = 15 What is the mean of the distribution of sample…
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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…
Q: A particular fruit's weights are normally distributed, with a mean of 421 grams and a standard…
A: Given Population Mean, μ=421 Population standard deviation, σ=20 Sample size, n=3
Q: CNNBC recently reported that the mean annual cost of auto insurance is 999 dollars. Assume the…
A: Hello! As you have posted more than 3 sub-parts, we are answering the first 3 sub-parts. In case…
Q: A particular fruit's weights are normally distributed, with a mean of 208 grams and a standard…
A: We have to find mean value for given data .
Q: A particular fruit's weights are normally distributed, with a mean of 465 grams and a standard…
A: Solution: Let X be the weight of a particular fruit. From the given information, X follows normal…
Q: Answer the following problem. Draw the graph of each. Take a picture or scan your answer. Drop your…
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Q: If the variance is 140.2, what is the Standard deviation from the following? O a. 16.56 O b. 11.84 O…
A: Given data,Variance=140.2Standard deviation=?
Q: The length of a fully grown plant is normally distributed and has a mean 35cm. It is found that 5%…
A: Solution: (1). Find the standard deviation: Denote the length of a fully grown plant with the random…
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Q: According to a recent study, 22% of people like sour candy. Suppose we obtain a random sample of 114…
A: Given: p=0.22 n=114
Q: A particular fruit's weights are normally distributed, with a mean of 648 grams and a standard…
A: The population mean and standard deviation are 648 grams and 16 grams respectively. It is given that…
Q: A particular fruit's weights are normally distributed with a mean of 598 grams and a standard…
A: Given mean= 598, standard deviations=34, n=4
Q: Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a…
A: GivenMean(μ)=170standard devaition(σ)=5No.of people(N)=80
Q: A particular fruit's weights are normally distributed, with a mean of 422 grams and a standard…
A: The following information has been given: The population mean is μ=422. The population standard…
Q: Which statement about the normal distribution is false? Approximately 68 % of the data lie within 1…
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Q: A simple random sample of 100 observations was taken from a large population. The sample mean and…
A: Givensample size(n)=100Mean(x)=81standard deviation(s)=9
Q: A random variable is normally distributed with a mean of 28 and a standard deviation of 4. If an…
A: Let X~ N(28, 42) X~N(28,42)⇒Z=X-284~N(0,1) a.)P[X>x]=0.05…
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- A particular fruit's weights are normally distributed, with a mean of 419 grams and a standard deviation of 7 grams.If you pick 3 fruits at random, then 9% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.1.Assume that the time a student stays in school is normally distributed with a mean of 5 hours and a standard deviation of 0.5 hours. Every day, Ian stays in school for 5.5 hours. What proportion of students stay fewer than 5.5 hours? 2.For a normally distributed random variable, the standard deviation is 3.7. What is the mean if 10% of the distribution is less than 31? 3.Scores of an achievement test shows that it follows a normal distribution. Its mean is 78 with a standard deviation of 8. Find the interval wherein the middle 80% of the scores lie. 4. Assume that family incomes are normally distributed with mean 30,000php and a standard deviation of 10,000php. If the poverty level is 10,000php, find the percentage of the population that lies in poverty. 5.In 2018, the braking distance of Toyota Camry cars on a wet surface follows a normal distribution. Its mean is 122 feet with a standard deviation of 20 feet. What is the probability that a randomly selected Toyota Camry will have a…A particular fruit's weights are normally distributed, with a mean of 613 grams and a standard deviation of 19 grams.If you pick 20 fruits at random, then 11% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.
- The Boeing 157-200 ER aircraft carries 200 passengers and has doors with a height of 72 inches. Male heights are normally distributed with a mean of 67.4 inches and a standard deviation of 3.8 inches. 1. If a male passenger is selected at random, find the probability that he can pass through the door without leaning over. Enter your answer to four decimal places. 2. If half of the 200 passengers are men, find the probability that the average height of the 100 men is less than 72 inches. Enter your answer to four decimal places.A normal distribution has a Mean of 25 and a S.D. of 10. Find the probability that the deviation from the Mean of an item taken at random will have a negative value.2. For a normally distributed random variable, the standard deviation is 3.7. What is the mean if 10% of the distribution is less than 31? 3. Scores of an achievement test show that it follows a normal distribution. Its mean is 78 with a standard deviation of 8. Find the interval wherein the middle 80% of the scores lie.
- The cost of textbooks is normally distributed with a mean of $208. You do not know the population standard deviation, but you estimate the sample standard deviation to be $45.What is the probability that from a sample of 14 textbooks, their average cost will be between $226 and $262? (Report answer accurate to three decimal places.)The cost of textbooks is normally distributed with a mean of $222. You do not know the population standard deviation, but you know the sample standard deviation is $46.What is the probability that from a sample of 15 textbooks, their average cost will be less than $230? (Report answer accurate to three decimal places.)Imagine the mean women’s foot size is a 7.5 with standard deviations of 1.5. a. What percentage of women have a foot size larger than 10? b. If you select 30 people at random is it likely that any of them will have a foot size larger than 10? If so, how many?
- What is the standard deviation if the variance is 6.25? A, 2.5 B, 2.8 C. 3.5 D. 3.8The cost of textbooks is normally distributed with a mean of $202. You do not know the population standard deviation, but you know the sample standard deviation to be $49.What is the probability that from a sample of 10 textbooks, their average cost will be less than $210? (Report answer accurate to three decimal places.)