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This Question: 2 pts 22 o Consider the following probability distribution: P(x) 0.1 2...
Consider the following probability distribution: x P(x) 1 0.1 2 ? 3 0.2 4 0.3 What...
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
A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per...
A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions 0 2 3 Households 28 449 727 1403 1 (a) Use the frequency distribution to construct a probability distribution. P(x) х 0 1 2 3 (Round to three decimal places as needed.) (D) Grapn the probability distribution using a histogram. Choose the correct grapn or the distribution below. B. APEX) 06- 0.5- OA APIX) 0.6- 0.5- 0.4 0.3...
Which of the following distributions is(are) valid discrete probability distribution(s)? 2. 3. 4. X p(x) X...
Which of the following distributions is(are) valid discrete probability distribution(s)? 2. 3. 4. X p(x) X P(X) X p(x) X P(X) 0.3 0 0.3 0 0.2 0 0.1 1 0.4 1 -0.2 1 0.7 1 0.1 2 0.3 2 0.9 2 0.2 N 0.8 O All are valid O 1,3, and 4 only 1 and 4 only 1 only 4 only
2. Consider a random variable with the following probability distribution: P(X=0) = 0.1, P(X=1) = 0.2,...
2. Consider a random variable with the following probability distribution: P(X=0) = 0.1, P(X=1) = 0.2, P(X=2) = 0.4, and P(X=3) = 0.3 a. Find P(X<=1) b. Find P(1<X<=3)
Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution. A B C x P(x) x P(x) x P(x) 25 0.6 25 0.6 25 0.6 50 0.1 50
Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution. ABCxP(x)xP(x)xP(x)25 0.6 25 0.6 25 0.6 50 0.1 50 0.1 50 0.1 75 0.1 75 0.1 75 0.1 100 0.4 100 0.2 100 0.6 a. Which of the above tables is a probability distribution? (Click to select) B A C b. Using the correct probability distribution, find the probability that x is: (Round the final answers to 1 decimal place.) 1. Exactly 50 = 2. No more than 50 = 3. More than 25 = c. Compute the mean, variance, and standard deviation of this distribution. (Round the final answers to 2 decimal places.) 1. Mean µ 2. Variance σ2 3. Standard deviation σ
2. (10 points) The random variable X has the following probability distribution x 2 3 5...
2. (10 points) The random variable X has the following probability distribution x 2 3 5 8 Pr(X = x) 0.2 0.4 0.3 0.1 a) Pr (X<=3) P(X<=3) b) Pr( 2.7<X<5.1) c)Pr(X>2.5) d) E(X)
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...
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. A Markov chain {X,,n0 with state space S0,1,2 has transition probability matrix 0.1 0.3 0.6...
1. A Markov chain {X,,n0 with state space S0,1,2 has transition probability matrix 0.1 0.3 0.6 P=10.5 0.2 0.3 0.4 0.2 0.4 If P(X0-0)-P(X0-1) evaluate P[X2< X4]. 0.4 and P 0-2) 0.2. find the distribution of X2 and
Suppose the following data represent the ratings (on a scale from 1 to 5) for a...
Suppose the following data represent the ratings (on a scale from 1 to 5) for a certain smart phone game, with 1 representing a poor rating. Complete parts (a) through (d) below. Stars 1 2 3 4 5 Frequency 2363 2679 4222 3688 10,166 (a) Construct a discrete probability distribution for the random variable x. Stars (x) P(x) 1 2 3 4 5 (Round to three decimal places as needed.) (b) Graph the discrete probability distribution. Choose the correct graph...
In the probability distribution to the right, the random variable X represents the number of marriages...
In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Complete parts (a) through (0) below 0 0.278 10.573 3 0.027 4 0.004 5 0.001 (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because theof the probabilities is (Type whole numbers. Use ascending order) (b) Draw a graph of the probability distribution Describe the shape of...
A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions 0 2 3 Households 28 449 727 1403 1 (a) Use the frequency distribution to construct a probability distribution. P(x) х 0 1 2 3 (Round to three decimal places as needed.) (D) Grapn the probability distribution using a histogram. Choose the correct grapn or the distribution below. B. APEX) 06- 0.5- OA APIX) 0.6- 0.5- 0.4 0.3...
Which of the following distributions is(are) valid discrete probability distribution(s)? 2. 3. 4. X p(x) X P(X) X p(x) X P(X) 0.3 0 0.3 0 0.2 0 0.1 1 0.4 1 -0.2 1 0.7 1 0.1 2 0.3 2 0.9 2 0.2 N 0.8 O All are valid O 1,3, and 4 only 1 and 4 only 1 only 4 only
1. A Markov chain {X,,n0 with state space S0,1,2 has transition probability matrix 0.1 0.3 0.6 P=10.5 0.2 0.3 0.4 0.2 0.4 If P(X0-0)-P(X0-1) evaluate P[X2< X4]. 0.4 and P 0-2) 0.2. find the distribution of X2 and
Suppose the following data represent the ratings (on a scale from 1 to 5) for a certain smart phone game, with 1 representing a poor rating. Complete parts (a) through (d) below. Stars 1 2 3 4 5 Frequency 2363 2679 4222 3688 10,166 (a) Construct a discrete probability distribution for the random variable x. Stars (x) P(x) 1 2 3 4 5 (Round to three decimal places as needed.) (b) Graph the discrete probability distribution. Choose the correct graph...
In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Complete parts (a) through (0) below 0 0.278 10.573 3 0.027 4 0.004 5 0.001 (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because theof the probabilities is (Type whole numbers. Use ascending order) (b) Draw a graph of the probability distribution Describe the shape of...
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