x | P(X=x) |
10 | 0.1 |
20 | 0.15 |
30 | 0.2 |
40 | |
50 | 0.15 |
60 | 0.15 |
The incomplete table at right is a discrete random variable x's probability distribution, where x is the number of people who will enter a retail clothing store on Saturday. Answer the following: | ||||
(a) | Determine the value that is missing in the table. | |||
(b) | Explain the meaning of P(x < 40) as it applies to the context of this problem. | |||
(c) | Determine the value of P(x > 40): | |||
(d) | Find the probability that x is at least 30. | |||
(e) | Expand the table to the right and find the mean (expected value) and standard deviation of this probability distribution. | |||
x P(X=x) 10 0.1 20 0.15 30 0.2 40 50 0.15 60 0.15 The incomplete table...
I. Discrete distribution for X' is given by the following table 0.5 20 0.2 50 0.1 80 Probability p Value A Find distribution function 00 and median Meo. Calculate mathematical expectation (the mean) M00, variance (dispersion) Dro, standard error σ(X), asymmetry coefficient As(O and excess Exeo. 0.2 10
0.25 0.2 0.15 0.1 a[m/s] -0.1 -0.15 EEEE -0.2 -0.25 0 10 20 30 50 60 70 80 40 t[s] Problem 2 One day, a large drilling platform (M= 9 x 10 kg) is floating in the ocean minding its own business when a tsunami passes by. The upward vertical acceleration vs time for the platform after the tsunami passes is measured by an accelerometer and plotted in the graph above. a) What is the damping constant b for this...
(2 points) x19 20 21 22 23 P(X = x) 0.1 0.1 0.2 0.1 0.5 Given the discrete probability distribution above, determine the following (a) P(X = 21) = (b) P(X > 20) = (c) P(X> 20)=
X P(x) 0 0.1 | 1 0.15 [2] 0.2 | 3 0.55 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places Preview
1. Discrete distribution for is given by the following table: Probability p Value X 0.2 -10 0.5 20 0.2 50 0.1 80 Find distribution function f00 and median Me(X).Calculate mathematical expectation (the mean) MX) variance (dispersion) DA), standard error σ(X), asymmetry coefficient As(X) and excess Ex(X).
Complete the following probability distribution table: Probability Distribution Table X P(X) 10 33 0.2 37 0.1 49 0.3
A discrete random variable X has probability mass function P() 0.1 0.2 0.2 0.2 0.3 Use the inverse transform method to generate a random sample of size from the distribution of X. Construct a relative frequency table and compare the empirical with the theoretical probabilities. Repeat using the R sample function. 1000
Consider the probability distribution shown below: X 10 12 18 20 p(x) 0.2 0.3 0.1 0.4 Find the standard deviation of X.
10 0.05 20 0.2 25 0.1 30 0.2 0.16 0.05 0.1 a) P(x>6) b) P(x211) C) P(x < 10) d) P(x = 11 or x = 10) e) The mean for variable x f) The standard deviation for variable x. 115
Complete the following probability distribution table for the discrete random variable X: X P(X) 2 ? 37 0.1 65 0.2 66 0.2