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Please answer with details on how to do it. Make handwriting legible. Thank you.
if you use the calculator how did you do it?
I'll appreciate your help! :)
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- Suppose x has a distribution with μ = 84 and σ = 8. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? Yes, the x distribution is normal with mean μ x = 84 and σ x = 2.Yes, the x distribution is normal with mean μ x = 84 and σ x = 0.5. Yes, the x distribution is normal with mean μ x = 84 and σ x = 8.No, the sample size is too small. (b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16? Yes, the x distribution is normal with mean μ x = 84 and σ x = 2.Yes, the x distribution is normal with mean μ x = 84 and σ x = 0.5. Yes, the x distribution is normal with mean μ x = 84 and σ x = 8.No, the sample size is too small. Find P(80 ≤ x ≤ 85). (Round your answer to four decimal places.)Suppose x has a distribution with μ = 62 and σ = 8. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? Yes, the x distribution is normal with mean μ x = 62 and σ x = 2.Yes, the x distribution is normal with mean μ x = 62 and σ x = 0.5. Yes, the x distribution is normal with mean μ x = 62 and σ x = 8.No, the sample size is too small. (b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16? Yes, the x distribution is normal with mean μ x = 62 and σ x = 2. Yes, the x distribution is normal with mean μ x = 62 and σ x = 0.5. Yes, the x distribution is normal with mean μ x = 62 and σ x = 8. No, the sample size is too small. Find P(58 ≤ x ≤ 63). (Round your answer to four decimal places.) Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 87 tons…Suppose x has a distribution with μ = 78 and σ = 8. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? Yes, the x distribution is normal with mean μ x = 78 and σ x = 2. Yes, the x distribution is normal with mean μ x = 78 and σ x = 0.5. Yes, the x distribution is normal with mean μ x = 78 and σ x = 8. No, the sample size is too small. (b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16? Yes, the x distribution is normal with mean μ x = 78 and σ x = 2. Yes, the x distribution is normal with mean μ x = 78 and σ x = 0.5. Yes, the x distribution is normal with mean μ x = 78 and σ x = 8. No, the sample size is too small. Find P(74 ≤ x ≤ 79). (Round your answer to four decimal places.)
- If the number X of particles emitted during a 1-hour period from a radioactive source has a poisson distribution with parameter equal to 4 and that the probability that any emitted is recorded is p=0.9 find the probability distribution of the number Y of the particles recorded in a 1-hour and hence the probability that no particle is recordedA company has 9000 arrivals of Internet traffic over a period of 18,050 thousandths of a minute. Let the random variable x represent the number of such Internet traffic arrivals in one thousandth of a minute. It appears that these Internet arrivals have a Poisson distribution. If we want to use the formula P(x)= (μ^x • e^−μ) / x! to find the probability of exactly 2 arrivals in one thousandth of a minute, what are the values of μ, x, and e that would be used in that formula?The rate of infection from COVID-19 is 1 individual in 100,000 inhabitants per month. Assuming a Poisson distribution for the number of infected individuals, a) What is the probability that in a city of 400,000 inhabitants there will be 8 or more infected individuals in a given month? b) What is the probability that there will be at least 2 months during the year that will have 8 or more infected individuals? (To 2 decimals, the answer is )
- A company has 8000 arrivals of Internet traffic over a period of 17,460 thousandths of a minute. Let the random variable x represent the number of such Internet traffic arrivals in one thousandth of a minute. It appears that these Internet arrivals have a Poisson distribution. If we want to use the formula P(x)= μx•e−μ x! to find the probability of exactly 3 arrivals in one thousandth of a minute, what are the values of μ, x, and e that would be used in that formula?Suppose x has a distribution with μ = 21 and σ = 11. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? Yes, the x distribution is normal with mean μ x = 21 and σ x = 11.Yes, the x distribution is normal with mean μ x = 21 and σ x = 2.75. No, the sample size is too small.Yes, the x distribution is normal with mean μ x = 21 and σ x = 0.7. (b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16? Yes, the x distribution is normal with mean μ x = 21 and σ x = 2.75.Yes, the x distribution is normal with mean μ x = 21 and σ x = 0.7. Yes, the x distribution is normal with mean μ x = 21 and σ x = 11.No, the sample size is too small. Find P(17 ≤ x ≤ 22). (Round your answer to four decimal places.)Suppose that X follows a poisson distribution with parameter λ=1.416 . P(X≥0)≅?
- Suppose x has a distribution with μ = 60 and σ = 17. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? No, the sample size is too small. Yes, the x distribution is normal with mean μ x = 60 and σ x = 4.25. Yes, the x distribution is normal with mean μ x = 60 and σ x = 17 Yes, the x distribution is normal with mean μ x = 60 and σ x = 1.1. (b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16? No, the sample size is too small. Yes, the x distribution is normal with mean μ x = 60 and σ x = 17. Yes, the x distribution is normal with mean μ x = 60 and σ x = 1.1. Yes, the x distribution is normal with mean μ x = 60 and σ x = 4.25. (c) Find P(56 ≤ x ≤ 61). (Round your answer to four decimal places.)Suppose x has a distribution with μ = 60 and σ = 17. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? No, the sample size is too small. Yes, the x distribution is normal with mean μ x = 60 and σ x = 4.25. Yes, the x distribution is normal with mean μ x = 60 and σ x = 17 Yes, the x distribution is normal with mean μ x = 60 and σ x = 1.1. (b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16? No, the sample size is too small. Yes, the x distribution is normal with mean μ x = 60 and σ x = 17. Yes, the x distribution is normal with mean μ x = 60 and σ x = 1.1. Yes, the x distribution is normal with mean μ x = 60 and σ x = 4.25. Find P(56 ≤ x ≤ 61). (Round your answer to four decimal places.)Suppose x has a distribution with μ = 62 and σ = 8. If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? Yes, the x distribution is normal with mean μ x = 62 and σ x = 2.Yes, the x distribution is normal with mean μ x = 62 and σ x = 0.5. Yes, the x distribution is normal with mean μ x = 62 and σ x = 8.No, the sample size is too small. (b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16? Yes, the x distribution is normal with mean μ x = 62 and σ x = 2.Yes, the x distribution is normal with mean μ x = 62 and σ x = 0.5. Yes, the x distribution is normal with mean μ x = 62 and σ x = 8.No, the sample size is too small. c) Find P(58 ≤ x ≤ 63). (Round your answer to four decimal places.)