If the random variable x follows a normal distribution N(-3,1), then
(a) P(x=2)= [a]
(b) P(x>-3)=[b]
1) [a]=0
2) [b]=0.5
If the random variable x follows a normal distribution N(-3,1), then (a) P(x=2)= [a] (b) P(x>-3)=[b]
If the random variable x follows a normal distribution N(-3,1), then (a) P(x=2)= _______ (b) P(x>-3)= _______
5. A random variable X follows a binomial distribution with n 35 and p-4. Use the normal approximation to the binomial distribution to find P(X < 16)
A. Random variable X has a binomial distribution, B(36, 0,5). Use the normal approximation, Compute P[15Kx<19)- B. Random variable X has a normal distribution, N(50, 100) Compute P(X < 41 or X>62.0)
Let X be a discrete random variable that follows a binomial distribution with n = 11 and probability of success p = 0.31. What is P(X=2)? Round your response to at least 3 decimal places.
1. The random variable X follows a normal distribution N(10,1). Using the provided table to find prob( (X-10)2 4) Patients arrive at a clinic at an average rate of 300 per hour. Assume the arrival at each minute follows a Poisson distribution 2. a. b. c. Find the probability that none passes in a given minute. What is the expected number passing in two minutes? Find the probability that this expected number actually pass through in a given two-minute period.
A discrete random variable X follows the geometric distribution
with parameter p, written X ∼ Geom(p), if its distribution function
is
A discrete random variable X follows the geometric distribution with parameter p, written X Geom(p), if its distribution function is 1x(z) = p(1-P)"-1, ze(1, 2, 3, ). The Geometric distribution is used to model the number of flips needed before a coin with probability p of showing Heads actually shows Heads. a) Show that fx(x) is indeed a probability...
(4.1) Suppose X is a random variable with normal distribution with u = 2 and o = 2. Compute the following probabilities in terms of the function o (the distribution function of a standard normal distribution). (a) P[O < X < 3). (b) P[X > 2] (c) P[X < 1)
Let x be a random variable from a binomial distribution with n = 40 and p = 0.9. If a normal approximation is appropriate, give the distribution of x' that would be used in the approximation. a) x' ~ N(40, 0.92) b) x' ~ N(36, 3.62) c) x' ~ N(36, 1.92) d) normal approximation is not appropriate
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)
Let X be a random variable that follows a binomial distribution with n= 12, and probability of success p = 0.86. a) What is P(X = 10)? Round your response to at least 3 decimal places. Number b) What is P(X > 10)? Round your response to at least 3 decimal places. Number c) What is P(X < 10)? Round your response to at least 3 decimal places. Number