5. Fi the tables to calculate the x value when the probability is given Normal distribution...
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...
8. Consider the following probability distribution and compute its expectation value: xP(x) 3 42 4 .29 5 29 9. Consider a binomial distribution with parameters n 5 and p 0.2. Compute P(X-2) 10. Compute P(Z < 1.42)
Calculate the expected value of X, E(X), for the given probability distribution. E(X) = x 2 4 6 8 P(X = x) 3/20 15/20 1/20 1/20
. 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...
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X>2)P(X>2), n=5n=5, p=0.4 success. Find the following probability, given the number of trials and the probability of obtaininga success. Round your answer to four decimal places. PX > 2), n 5, p = 0.4 Tables Keypad Answer How to enter...
Given a normal distribution of quantity x, N(x), what is the probability that a given sample quantity, x1, will lie between x xo and xx2? (B)N(2) N() N (2)N() 71 N(2)-N(O
Statistics - Please help! Thanks. 5. Let X be the random variable that describes the measurements of the diameter of Venus. We know that X is normally distributed with mean u = 7848 miles and standard deviation o = 310 miles. What is (a) P(x < 7000) (b) P(8000< x < 8100) (c) Verify your answers using R. 6. Assume the life of a roller bearing follows a Weibull distribution with parameters ß = 2 and 8 = 7,500 hours....
compute p(x) using the binomial probability formula. then determine whether the normal distribution can be used to estimate this probability. if so, p(x) using the normal distribution and compare the result with the exact probability. n=78, p= 0.83, and x=60 for n= 78, p= 0.83, and x=60, find P(x) using the binomial probability distribution. P(x) _. (round to four decimal places as needed.) can the normal distribution be used to approximate this probability? A. no, the normal distribution cannot be...
Given a normal distribution with mu equals 103 and sigma equals 25, and given you select a sample of n equals 25, complete parts (a) through (d). a. What is the probability that X is less than 93? P( X < 93)= b. What is the probability that X is between 93 and 95.5? P(93< X than 95.5)= c. What is the probability that X is above 104.8? P( X > than 104.8)= d. There is a 63% chance that...
given a normal distribution with 7.2 Given a normal distribution with u = 50 and o 5, if you select a sample of n 100, what is the probability that X is a. less than 47? b. between 47 and 49.5? c. above 51.1? d. There is a 35% chance that X is above what value?