Let .
a) Find P(X>43).
b) Find the probability that the mean of a sample of 16 observations is greater than 43?
Let . a) Find P(X>43). b) Find the probability that the mean of a sample of...
n 0.05, find the probability that the sample Let X be a continuous random variable that follows a distribution skewed to the left with ? = 87 and ? = 22, Assuming mean, E, for a random sample of 69 taken from this population will be a. less than 82.0 Round your answer to four decimal places. P(less than82.0) b. greater than 89.5 Round your answer to four decimal places. P(greater than 89.5) -
Question 3. Confidence Let X, be identically and in ance σ = 0.2. Suppose 16 samples are taken and 3.3 is its sample mean. Find the following probabilities (a) p (F-1 1.59%) (b) Suppose now N samples are taken and P H1.57 is its sample mean. Determine the probability that the distance between and μ is at most 1.8 Question 3. Confidence Let X, be identically and in ance σ = 0.2. Suppose 16 samples are taken and 3.3 is...
Assume that the probability mass function of X is given by P(X = 1) = P(X = 2) = P(X = 3) = 1/3 A random sample of n = 36 is selected from this population. Find the probability that the sample mean is greater than 2.1 but less than 2.5, assuming that the sample mean would be measured to the nearest tenth.
Let x be the binomial random variable with n=10 and p = 9 a. Find P(x = 8) and create a cumulative probability table for the distribution. b. Find P( x is less than or equal to 7) and P(x is greater than 7) c. Find the mean, u, the standard deviation, o, and the variance. d. Does the Empirical rule work on this distribution for data that is within one, two or three standard deviations of the mean? Explain....
Let X ¯ ^ be the mean of a random sample of size 50 drawn from a population with mean 112 and standard deviation 40. Determine the expected value of the sample mean, E { X ¯ ^ } ., the standard deviation of the sample mean, the probability that the sample mean assumes a value greater than 113, and the probability that the sample mean assumes a value between 110 and 114
The mean percent of childhood asthma prevalence in 43 cities is 2.43%. A random sample of 34 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.7%? Interpret this probability. Assume that standard deviation equals 1.34%. Find the probability
Let X have a uniform distribution on the interval (8, 13). Find the probability that the sum of 2 independent observations of X is greater than 24.
For Questions 1-4, let the random variable X follow a Normal distribution with mean u = 200 variance 62 = 625. Q1. A random sample of n = 50 is obtained. What are the mean and variance of the sample mean, X-Bar? a. Mean ==> b. Variance ==> Q2. What is the probability that X-Bar is greater than 204? a. What is Z-Score for X-Bar greater than 204 ==> b. P[Z> Z-Score] ==> Q3. What is the probability that X-Bar...
1. Let X be a normal random variable with mean 16. If P(X < 20) 0.65, find the standard deviation o. 2. The probability that an electronic component will fail in performance is 0.2 Use the normal approximation to Binomial to find the probability that among 100 such components, (a) at least 23 will fail in performance. X 26) (b) between 18 and 26 (inclusive) will fail in performance. That is find P(18 3. If two random variables X and...
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....