For a Normal distribution with mean 0 and standard deviation 1, which of the following Python lines outputs the probability P(z<0.325)? Select one.
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…
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Q: Determine if the finite correction factor should be used. If so, use it in your calculations when…
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A: given data normal distributionμ = 100.6σ = 18.2P(x>133.9) = ?
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A: According to the provided information, Mean (μ) = 104.7 Standard Deviation (σ) = 15.7
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Q: Assume that adults have IQ scores that are normally distributed with a mean of 95.4 and a standard…
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Q: (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in…
A: sample size (n)=45proportion (p) =.5
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Q: Determine if the finite correction factor should be used. If so, use it in your calculations when…
A: GivenMean(μ)=2.889standard deviation(σ)=0.009
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Q: deviation is σ = 0.9 oz (based on the sample results),find the probability that a sample of 36 cans…
A: It is given that x̄ = 12.29 ozμ = 12.00 ozσ = 0.9 ozn = 36
Q: Determine if the finite correction factor should be used. If so, use it in your calculations when…
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A: In this context, it is known that p=0.5;n=50. a) The mean of the binomial distribution is given by,…
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- Assume that we have two normal distributions both with means 0 and standard deviations σ1 and σ2. If σ1 ≥ σ2, then which of P (0 ≤ x ≤ σ1) and P (0 ≤ x ≤ σ2) is bigger? Explain your answer.Determine if the finite correction factor should be used. If so, use it in your calculations when you find the probability. In a sample of 700 gas stations, the mean price for regular gasoline at the pump was $2.876 per gallon and the standard deviation was $0.008 per gallon. A random sample of size 45 is drawn from this population. What is the probability that the mean price per gallon is less than $2.874? The probability that the mean price per gallon is less than $2.874 is (Round to four decimal places as needed.)A population has a mean of 200 and a standard deviation of 90. Suppose a simple random sample of size 125 is selected and is used to estimate μ. Use z-table. a. What is the probability that the sample mean will be within 18 of the population mean (to 4 decimals)? b. What is the probability that the sample mean will be within 16 of the population mean (to 4 decimals)?
- Assume that adults have IQ scores that are normally distributed with a mean of 102.1 and a standard deviation 16.3. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.)Determine whether the finite correction factor should be used. If so, use it in your calculations when you find the probability. In a sample of 100 eruptions of the Old Faithful geyser at Yellowstone National Park, the mean interval between eruptions was 129.58 minutes and the standard deviation was 108.54 minutes. A random sample of size 40 is selected from this population. What is the probability that the mean interval between eruptions is between 119 minutes and 139 minutes? The probability that the mean interval between eruptions is between 119 minutes and 139 minutes is (Round to four decimal places as needed.)Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 45 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 45 births. The value of the mean is μ=nothing. (Type an integer or a decimal. Do not round.) The value of the standard deviation is σ=nothing. (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of nothing girls or fewer are significantly low. (Round to one decimal place as needed.) Values of nothing girls or greater are significantly high. (Round to one decimal place as needed.) c. Is the result of 31 girls…
- Plz complete solution. A local fast-food restaurant has a soda dispensing machine that employees use to automatically fill large soft drink cups. The dispenser is preset to dispense 18 ounces of fluid each time with a standard deviation of 0.75 ounces. The dispensing follows a normal distribution. Use this data to solve What is the probability that a cup will contain 16.5 ounces or more? What is the probability that a cup will contain 16.5 ounces or less? What is the probability that a cup will contain between 15.75 and 18.4 ounces? What is the probability that a cup will contain between 18.0 and 18.3 ounces? What is the probability that a cup will contain between 15.35 and 18.85 ounces? How many ounces would the lowest 4 percent of cups contain? 21. What is your best guess at the number of ounces a cup would contain?There are frogs and koi in a pond, and the number of frogs and the number of koi in the pond are independent. Let X represent the number of frogs in any given week, and let Y represent the number of koi in any given week. X has a mean of 28 with a standard deviation of 2.7, and Y has a mean of 15 with a standard deviation of 1.6. Which answer choice correctly calculates and interprets the standard deviation of the difference, D = X - Y? = 1.05; this pond can expect the difference of frogs and koi to vary by approximately 1.05 from the mean. = 1.1; this pond can expect the difference of frogs and koi to vary by approximately 1.1 from the mean. = 3.1; this pond can expect the difference of frogs and koi to vary by approximately 3.1 from the mean. = 13; this pond can expect the difference of frogs and koi to vary by approximately 1.05 from the mean.Determine if the finite correction factor should be used. If so, use it in your calculations when you find the probability. In a sample of 700 gas stations, the mean price for regular gasoline at the pump was $2.898 per gallon and the standard deviation was $0.008 per gallon. A random sample of size 60 is drawn from this population. What is the probability that the mean price per gallon is less than $2.897? The probability that the mean price per gallon is less than $2.897 is (Round to four decimal places as needed.)
- Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 30 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 30 births. The value of the mean is u = (Type an integer or a decimal. Do not round.).Find the m.g.f of uniform distribution and hence find its mean and variance.Assume that adults have IQ scores that are normally distributed with a mean of 95.4 and a standard deviation of 21. Find the probability that a randomly selected adult has an IQ greater than 134.1. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 134.1 is (Round to four decimal places as needed.)