What is the probability that the number of systems sold is more than 2 standard deviations from the mean?

Q: An aptitude test that is normally distributed has a mean of 1100 and a standard deviation of 100.…

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Q: Suppose that in a certain Senior High School the average height of male students is 155.9 cm with…

A: GivenMean(μ)=155.9standard deviation(σ)=20.4sample size(n)=40

Q: What is the probability that your score on an exam will be less than 65, if the mean on the exam is…

A: Let X be a continuous random variable of score on the exam is normally​ distributed with a mean of…

Q: A random sample of 25 observations yield a mean of 116 and a standard deviation of 12. What is the…

A: Given data,Mean μ=116sd σ=12P(X>1150)=?

Q: Suppose that you take a random sample of 30 healthy American men... What is the z-score…

A: The mean is 82 and the standard deviation is 10.

Q: The probability that a patient recovers from a delicate heart operation is 0.85. What is the…

A: The standard deviation of the binomial random variable obtained by the formula is σ=np(1-p), where…

Q: Suppose the age a student graduates from Salem State is Normally distributed. If the mean age is…

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Q: Suppose I have an unfair coin, it lands on heads 75% of the time.  If I flip this coin four times,…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: Suppose you draw a random sample of 100 observations from a population with a variance = 25. What is…

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Q: Suppose, you are running an experiment that has two outcomes, namely 'success' and 'failure'. You…

A: Follow Geometric distribution - Let X be number of trials to get first success or X ~ Geo(p)

Q: According to the Bureau of Labor Statistics, the average number of weeks an individual is unemployed…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: The length of an episode of the hit TV show, Fake Blood, is normally distributed with a mean of 62…

A: Given that  X~Normal(μ=62 , ?=4.5) Mean=μ=62 , Standard deviation=?=4.5)

Q: How can we calculate the probability-weighted average of the squared deviations?

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Q: What is the probability of getting a sample mean between 500 and 520 if the population mean is 500…

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Q: A study showed that the average number of hours children in the US watch television each day is 4…

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Q: If the average of a random variable is 95 and the standard deviation is 20 then the proportion of…

A: Let X denotes the random variable with mean μ = 95 and SD σ = 20. Let the proportion of observations…

Q: If the average commute to work (one way) is 30 minutes, assuming commuting times are normally…

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Q: What value is the probability that the mean of nine randomly selected individuals from a normally…

A: Sampling distribution of the sample mean x¯ ~ N(μx¯ , σx¯)

Q: A Nielsen Company report states that the mean number of TV sets in a U.S. household is 2.12. Assume…

A: Draw the normal curve and shade the area to the right of z=-0.1. Since the total area under the…

Q: The probability that a patient recovers from a delicate heart operation is 0.85. What is the…

A: Number of patients (n) = 8 p(patient recovers) = 0.85 Let "X" be the number of recovered patients…

Q: Suppose the average credit card debt for Americans is $7000 and is not normally distributed with a…

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Q: that the distribution is normal. What is the chance that three indoor cats die between 15 and 18…

A: here mean= 14 year standard deviation  = 2.5 year

Q: Recent report in Times showed a typical family of four spends $490 per month on food with a mean of…

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Q: What is the standard deviation for a binomial distribution where the probability of success is .2…

A: Given :P = 0.2n = 22

Q: The normal model applies to the productivity of all workers at a factory, with a mean of 75 units…

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Q: A population has mean of 150 and standard deviation of 20. What is the probability that a random…

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Q: An anthropologist wishes to estimate the average height of the inhabitants of a certain region. If…

A: Obtain the probability that the difference between the sample mean and true population mean will not…

Q: The average monthly grocery bill for an individual is normally distributed with a mean of $85 and a…

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Q: The probability that a patient recovers from a delicate heart operation is 60%. There are 20…

A: Solution: Let X be the number of recovered patients and n be the sample number of patients under an…

Q: What probability with the average of nine randomly selected individuals from the normally…

A: Given: Population mean(μ)=48 Population variance(σ2)=64 Population standard deviation=σ=64=8 Sample…

Q: Erla rolls six sided dice 15 times. What is the standard deviation of the number of sixes that…

A: Let p be the probability of six  p=1/6, n=15 Let X be the number of sixes in rolling of dice  Then…

Q: Suppose that the number of customers who enter a supermarket each hour is normally distributed with…

A: Let X denote the number of customers who enter a supermarket each hour and it follows normal…

Q: What is the probability of randomly selecting a score with a value greater than X = 63 from a…

A: Given,Mean (μ) =60Standard deviation (σ)=12And X=63

Q: If the gondola is filled with 25 randomly selected​ skiers, what is the probability that their mean…

A: Mean = 180 Standard deviation = 44 Sample size = 25

Q: The Centers for Disease Control report that the total cholesterol levels for women, age 20-29, are…

A: Given, Mean = 183 Standard deviation = 37.2 Sample size = 30   The objective to is find the…

Q: University students' blood pressure can be expected to follow a normal distribution with a mean of…

A: Given data,μ=85σ=20If n=4P(X<90)=?

Q: if a distribution is normal, then it is not possible to randomly select a value that is more than 4…

A: It is given that the distribution is normal.

Q: If a positively skewed distribution has a mean of 40, then the median and the mode are probably both…

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Q: Assume that the square footage of a residential house in the US is normally distributed with a…

A: According to the given information in this question  We need to find the probability that it will be…

Q: Suppose the length of a baseball game is 175.9 min with a standard deviation of 27.0 min. For a…

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Q: For example, the value of the results of a Physics test. The mean is 77 and the standard deviation…

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Q: Suppose the average age at death of a California Adventist is 85.5 with a standard deviation of 5.6…

A: Given Data: Let X represent the random variable Mean=85.5 SD=5.6   Assuming normal distribution X~…

Q: What is the probability that more than 4 accidents will occur within any given year at an…

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Q: 2. The probability that a package is delivered on time is 0.97. If 500 randomly selected packages…

A: Givenprobability that package delivered on time (p)=0.97sample size(n)=500

Q: The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the…

A: Let "X" be the average life span of NJ residents

Q: ) What is the probability that the number of anomalies does not exceed the mean value by more than…

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Q: If the distribution of the population has a nonzero standard deviation and mean 12 then the…

A: It is given that the population has a nonzero standard deviation and the mean is 12.

Q: 4. The mean performance score on a physical fitness test for Division I student-athletes is 947 with…

A: The random variable performance score follows normal distribution. We have to find the probability…