Given that, the discrete probability distrinution is as follows,
x | 19 | 20 | 21 | 22 | 23 |
---|---|---|---|---|---|
P(X = x) | 0.1 | 0.1 | 0.2 | 0.1 | 0.5 |
To determine the following probabilities,
a) P(X = 21) = 0.2
b) P(X > 20) = P(X = 21) + P(X = 22) + P(X = 23)
= 0.2 + 0.1 + 0.5
P(X > 20 ) = 0.8
c)
OR
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
x 19 20 21 22 23 F(x) 18 10 7 8 5 Let x be the ages of students in a class. Given the frequency distribution F(x) above, determine the following probabilities: (a) P(x>20)= (b) P(x≤22)= (c) P(x≥20)=
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).
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):...
Consider the following probability distribution: x P(x) 1 0.1 2 ? 3 0.2 4 0.3 What must be the value of P(2) if the distribution is valid? A. 0.6 B. 0.5 C. 0.4 D. 0.2 What is the mean of the probability distribution? A. 2.5 B. 2.7 C. 2.0 D. 2.9
Help please This Question: 2 pts 22 o Consider the following probability distribution: P(x) 0.1 2 0.2 0.3 What must be the value of P(2) if the distribution is valid? O A. 0.4 O B. 0.5 O C. 0.2 OD, 0.6 What is the mean of the probability distribution? O A. 2.7 O B. 2.0 OC. 2.9 OD. 2.5 Click to select your answer
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
2) Consider a random variable with the following probability distribution: P(X = 0) = 0.1, P(X=1) =0.2, P(X=2) = 0.3, P(X=3) = 0.3, and P(X=4)= 0.1. A. Generate 400 values of this random variable with the given probability distribution using simulation. B. Compare the distribution of simulated values to the given probability distribution. Is the simulated distribution indicative of the given probability distribution? Explain why or why not. C. Compute the mean and standard deviation of the distribution of simulated...
1. Two independent random variables X and y are given with their distribution laws 4 P 07 0.1 0.2 P 0.2 0.3 0.5 Find 1) the variance of random variable Y 2) the distribution law of random variable Z-0.5Y+x END TEST IN PROBABL ITY THEORY AND STAISTICS Variant 1 1. Two independent random vanables X and Y are given with their distribution laws: 2 0.7 0.1 P 0.2 0.3 0.5 0.2 Find 1) the variance of random varñable Y 2)...
8 0.05 10 0.05 13 0.17 0.16 15 0.17 20 02 21 23 0.1 00 0.0 0.0 a) P(x > 10) b) P(x>10) c) P(x < 20) d) P(x = 8 or x = 10) e) The mean for variable x f) The standard deviation for variable x. 3. 2 IX P(x) 30 6 0.16 10 0.05 11 0.05 16 0.1 20 0.2 25 0.1 0.2 a) P(x>6) b) P(x211) c) P(x < 10) d) Pix = 11 or x...