Question 7 6 pts . If a continuous randaom variable X has a bell curve (normal distribution with mean 5 and variance 25, using the z table I gave you, find P(X < 5) Note X is continuous, X<...
If in a normal distribution, then using z-scores and drawing a labeled normal curve, find a) p(x>710) b) p(450 c) p(x<640) mean: 500 standard deviation: 100
Consider the normal random variable X with mean 3 and variance 4. Find the best Chernoff estimate on P(X>=5). Please do not use Z-table or Z-test. Solve only using Chernoff estimate. Thanks.
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 29 and 36 b) between 22 and 35 Let x be a continuous random variable that is normally distributed with a mean of 80 and a standard deviation of 12. Find the probability that x assumes a value a) greater than 69 b) less than 73 c) greater...
10) The X random variable has a normal distribution. P(X > 15) = 0.0082 and P(X<5) = 0.6554 find the mean and variance of this distribution
. In probability theory, the Normal Distribution (sometimes called a Gaussian Distribution or Bell Curve) is a very common continuous probability distribution. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known. Describing the normal distribution using a mathematical function is called a probability distribution function (PDF) which is given here: H The mean of the distribution ơ-The standard deviation f(x)--e 2σ We can...
Let p(z)=1/5 be the probability distribution function for random variable X with z=5, 10, 15, 20, 25. Find the mean and variance of Z..
Question 3: Consider the Standard Normal Distribution with mean 0 and standard deviation 1. Find the following. a) P (z>0.5) b) P(z 1.5) c) P (-0.49 < z1.5) Question 4: If you have a normal distribution with mean 14 and standard deviation of 2. What is P(x >16)? Question 5 Professor Hardy assumes the exam scores are normally distributed and wants to grade "on a curve." The mean score was 68, with a standard deviation of 9, If he wants...
1. For a normal curve whose mean is 5 with a standard deviation of 1.1 find the x-value with 73% of the data to the left of it. 5 %.67 b) 0.61 C) 0.73 d) answer not here 2. The marks on a statistic test are normally distributed with a mean of 62 and a standard deviation of 15. If the instructor wishes to assign B's or higher to the top 30% of the students in the class, what mark...
1. (5 points) Suppose Z is a random variable that follows the standard normal distribution. a) Find P(Z > 0.45). b) Find P(0.7 SZ 1.6). c) Find 20.09. d) Find the Z-score for having area 0.18 to its left under the standard normal curve. e) Find the value of z such that P(-2SZS2) -0.5. 3. (4 points) The scores on a test are normally distributed with a mean of 75 and a standard deviation of 8. a) Find the proportion...
Consider a normal distribution with mean 25 and standard deviation 5. What is the probability a value selected at random from this distribution is greater than 25? (Round your answer to two decimal places.) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.9; σ = 3.5 P(10 ≤ x ≤ 26) = Need Help? Read It Assume that x has a...