Suppose that 10% of the probability for a certain distribution that is N(μ,σ^2) is below 60 and that 5% is above 90. What are the values of
Suppose that 10% of the probability for a certain distribution that is N(μ,σ^2) is below 60...
Suppose x has a distribution with μ = 10 and σ = 9. (a) If a random sample of size n = 35 is drawn, find μx, σ x and P(10 ≤ x ≤ 12). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(10 ≤ x ≤ 12) = (b) If a random sample of size n = 60 is drawn, find μx, σ x and P(10 ≤ x ≤...
Suppose x has a distribution with μ = 10 and σ = 2. (a) If a random sample of size n = 39 is drawn, find μx, σ x and P(10 ≤ x ≤ 12). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(10 ≤ x ≤ 12) = (b) If a random sample of size n = 56 is drawn, find μx, σ x and P(10 ≤ x ≤...
For a normal distribution, find the probability of being (a) Between μ−3σ μ − 3 σ and μ+3σ μ + 3 σ (b) Between 2 standard deviations below the mean and 2.5 standard deviations above the mean (c) Less than μ−1σ μ − 1 σ Use the Standard Normal Table in your textbook or Excel to obtain more accuracy.
Suppose x has a distribution with μ = 10 and σ = 7. (a) If a random sample of size n = 40 is drawn, find μx, σ x and P(10 ≤ x ≤ 12). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(10 ≤ x ≤ 12) = (b) If a random sample of size n = 63 is drawn, find μx, σ x and P(10 ≤ x ≤ 12)....
given a normal distribution with μ=105 and σ=10, if you select a sample of n=4. What is the probability that X(mean) is above 106.6? (Type an integer or decimal rounded to four decimal places as needed.)
5. Suppose X. N(μ, σ2), what is the distribution of the sample mean Σ ? Comment on the behavior of the distribution for increasing n. Furthermore, is the distribution of the sample mean consistent with the predictions of the central limit theorem?
Suppose x has a distribution with μ = 11 and σ = 10. (a) If a random sample of size n = 36 is drawn, find μx, σx and P(11 ≤ x ≤ 13). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(11 ≤ x ≤ 13) = (b) If a random sample of size n = 64 is drawn, find μx, σx and P(11 ≤ x ≤ 13). (Round σx...
. IQ scores have a normal distribution with μ = 90 and σ = 10. a) Find the probability for a score over 100. b) Find the score needed for the top 5%. c) Find the probability that the mean of 10 scores is under 80. (Hint: use CLT)
Suppose x has a distribution with μ = 20 and σ = 12. (a) If a random sample of size n = 47 is drawn, find μx, σ x and P(20 ≤ x ≤ 22). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(20 ≤ x ≤ 22) = (b) If a random sample of size n = 60 is drawn, find μx, σ x and P(20 ≤ x ≤...
Let μ=E(X), σ=stanard deviation of X. Find the probability P(μ-σ ≤ X ≤ μ+σ) if X has... (Round all your answers to 4 decimal places.) a. ... a Binomial distribution with n=23 and p=1/10 b. ... a Geometric distribution with p = 0.19. c. ... a Poisson distribution with λ = 6.8.