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- 5. The probability distribution of discrete random variable X is given by k for x = 1, 2, 3 x +1 P(X = x) %3D5. Let X be the random variable that represents the number of hearts in a 4 card hand drawn from a standard deck. (a) What is the probability distribution of X? (b) What is the expected value of X?Suppose the following is a valid probability distribution. Find the value of m. 3 4 6. P(x) 0.05 0.12 0.35 0.32 Select one: a. 0.16 b. cannot be determined C. 0.08 d. 0.84 pe here to search 近
- In a joint probability distribution table for 4 variables (A, B, C, D), how many entries will there be? 4 8 16 324. Determine whether each distribution is a probability distribution (a) 5 10 15 P(X=x) 1 1 1 1 1 20If a problem has 12 boolean variables, how many full joint probabilities would you need to add up to find P(a v b)
- The standard normal probability density function is a bell-shaped curve that can be represented as 1 f (z) = -?12 e Use Matlab to generate a plot of this function using function handle plot from z = -5 to 5. Label x-label as .frequency and y-axis as zProbability and Statistics I have in my pocket ten coins. Nine of them are ordinary coins with equal chances of coming up head and tail when tossed and the tenth has two heads. If I take one of the coins at random from my pocket, what is the probability that it is the coin with two heads ?QUESTION 8 The graph shown below exhibits which of the following probability distributions: 0.35 0.30 0.25 0.20 0.15 0.10 0.05 0.00 Uniform Benoulli Binomial Poisson ill. 2 3 1
- Probability and Statistics I have in my pocket ten coins. Nine of them are ordinary coins with equal chances of coming up head and tail when tossed and the tenth has two heads. If I toss the coin and it comes up heads, what is the probability that it is the coin with two heads?Discrete math Suppose vehicle arrive at a signalised road intersection at an average rate of 360 per hour and the cycle of the traffic lights is 40 seconds . In what percentage of cycle will the number of vehicles arriving be : a. exactly 5 b. less than 5 c. What is the expectation value of arriving vehicles? d. What is the probability that more than 5 cars will arrive ?X is a discrete random variable with the following PMF: P(X = 1.4) = 0.25 P(X = -9.7) = 0.25 P(X = 10) = 0.5 Find the standard deviation of X.