The sum of all the probabilities should be 1. Hence,
P(2) + P(4) + P(6) + P(8) + P(10) + P(12) = 1
2k + 2k + 2k + 2k + 2k + 2k = 1
12k = 1
k = 1/12
k = 0.0833
Consider this probability mass function: px) - 2k forx- 2, 4, 6, 8, 10, 12 Determine...
Consider the following probability function: po) -1/3 forx -0, 1,2 Determine the variance of x. Express your answer to 4 decimal places using conventional rounding methods
Answer number 3, please.
2. The probability mass function below is defined forx - 0, 1,2,3,... 32 f(x)- What is the probability for each of the following expressions? a) P(X 2) b) P(X S2) c) P(X>2) d) P(X2 1) Determine values of the cumulative distribution function for the random variable in the previous problem 3.
00 points Akron's Children Hospltal has reported that an average of 6 patients arrive in the emergency room each hour. Arrivals at this emergency room are knobn to folow a Poisson probabilily distribut What is the probability that exactly 10 patients will armive in the emergency room between 1:00 pm and 2:00 pm today? T. (Report your answer to 4 decimal places, using conventional rounding rules) What is the probability that no more than 3 patients wil arrive in the...
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Verify that the following function is a probability mass function, and determine the requested probabilities. [Give exact answers in form of fraction.] f(x)-(5/6)(1/6)" x=0,1,2, , (a) P(X= 2) (b) P(X s 2)-.uI = i (c) P(X > 2)= (d) P(X21) = T Your answer is partially correct. Try again. Verify that the following function is a probability mass function, and determine the requested probabilities f (x)3x+3 45x 0, 1, 2,3,4 Is the function a probability mass function? Give exact...
5)Visitors arrive to a water park according to a Poisson process with a mean of 3.30 visitors per minute. If the park opens at 8:00 am, what is the probability that no visitors arrive in a 3-minute period? Express your answer to four decimal places using conventional rounding methods. 7) Determine −z.05 Express your answer to two decimal places. 8) The probability that a standard normal random variable is equal to 0 is 0.50. T/F 10) The length of cracks...
5. Consider the discrete random variable X with probability mass function p.) = (3/30 for r=1 6/30 for r= 2 8/30 for r=3 7/30 for r = 4 4/30 for r = 5 2/30 for r= 6 10 otherwise. You may find it helpful to use a table with columns for I, Px(), 2. Px(2), and r.Px() to keep track of your computations. Do not round off-express all values as rational fractions. a) Find the probability P(X<3. b) Find the...
7 8 4 5 6 23 -3 -2-1 12-11-10-0 -8-7-6 -5-4 -2 -3 + function that matches the given graph. If needed, you can enter 3.1416... as pi' in your answer, otherwise use at least 3 decimal digits. The curve above is the graph of a sinusoidal function. It goes through the points (-8,0) and (2, 0). Find a sinusoidal Preview f(z)= Get help: Video License
7 8 4 5 6 23 -3 -2-1 12-11-10-0 -8-7-6 -5-4 -2 -3 +...
The following function is probability mass function. f(x)-4x+2, X:0, 1, 2, 3, 4 Determine the mean, p, and variance, o2, of the random variable. Round your answers to two decimal places (e.g. 98.76) 2.80 9.2
Verify that the following function is a probability mass function, and determine the requested probabilities. f (x) (512/73) (1/8)*x-1,2,3) Round your answers to four decimal places (e.g. 98.7654) Is the function a probability mass function? (a) P(X s 1) (b) P(X 1)- (e) P(2 <X 7) (d) P(X s2 or X > 2)-
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O Let X and Y be independent random variables with a discrete uniform distribution, i.e., with probability mass functions for k = 1, px(k) = py (k) =-, N. Use the addition rule for discrete random variables on page 152 to determine the probability mass function of Z -X+Y for the following two cases. a. Suppose N = 6, so that X and Y represent two throws with a...