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A random variable X follows a normal distribution with mean 135 and standard deviation 12. If a sample of size 10 is taken, find P (x̅ < 137). (4 decimal places)
Find the answer using StatCrunch. A random variable X follows a normal distribution with mean 135...
QUESTION 1 A random variable X follows a normal distribution with mean 350 and standard deviation 65. If a sample of size 15 is taken, find P(X> 325). (3 decimal places)
4 Suppose the random variable X follows a normal distribution with mean u = 54and standard deviation o = 10. Calculate each of the following. In each case, round your response to at least 4 decimal places. a) P(X < 42) = Number b) P(X > 61) = Number c) P(49< X < 69) = Number
Question 1 (0.5 points) A random variable X follows a normal distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 6 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No. Question 2...
Suppose the random variable X follows a normal distribution with mean μ=53and standard deviation σ=10. Calculate each of the following. In each case, round your response to at least 4 decimal places. a) P(X<43)= b) P(X>63)= c) P(48<X<68)=
Question 2 (0.5 points) A random variable X follows a normal distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 60 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No. Question 3...
Find the indicated probability assuming that x is a random variable with a normal distribution with the given mean and standard deviation. (Round your answer to four decimal places.) P(68 ≤ x ≤ 204), μ = 16, σ = 80
Given a random variable X follows a Normal distribution with mean 10 and standard deviation 5, what is the probability that X lies within one standard deviation of the mean?
1. X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 41, σ = 20, find P(35 ≤ X ≤ 42) 2. Find the probability that a normal variable takes on values within 0.9 standard deviations of its mean. (Round your decimal to four decimal places.) 3. Suppose X is a normal random variable with mean μ = 100 and standard deviation σ = 10....
A random variable X has a normal random varia ble with mean of 20 and standard deviation of 2 (a) Find the two values of X that separates the middle 50% of data (or area) of the distribution of X. Keep at least 2 decimal places (b) Compute the probability that the variable is at most 15. Keep at least 4 decimal places (c) Compute the probability that the variable is less than 12 or more than 21 Keep at...
Suppose the random variable X follows a normal distribution with mean µ = 84 and standard deviation σ = 20. Calculate each of the following: P(X > 100) P(80 < X < 144) P(124 < X < 160) P(X < 50) P(X > X*) = .0062. What is the value of X*?