6)Acertain player say X, is known to win with probability 0.3 if the
track is fast and 0. 4 if the track is slow. For Monday there is a 0.7
probability ofa fast track and 0.3 probability of a slow track. What is
the probability that player X will win on Monday.
6)Acertain player say X, is known to win with probability 0.3 if the track is fast and 0. 4 if the track is slow. For Monday there is a 0.7 probability ofa fast track and 0.3 probability of a slow track. What is the probability that player X will win on M
day x 0 12 more than 2 P(x) 0.5 0.3 0.20 What is the probability that there wil be more accidents on Monday than on Tues day? What is the probability that there will be more accidents on Tuesday than on Monday?
The probability distribution of random variable X is given below. What is E[X]? X 4 2 6 P(x) 0.6 0.2 0.2 The probability distribution of random variable X is given below. What is σ2x? X 4 2 6 P(x) 0.6 0.2 0.2 The probability distribution of random variable X is given below. Let Y = 4X − 5 be a new random variable. What is σ2y? X 4 2 6 P(x) 0.6 0.2 0.2 The probability distribution of random variable...
6. The distribution law of random variable X is given -0.4 -0.2 0 0.1 0.4 0.3 0.2 0.6 Xi Pi Find the variance of random variable X. 7. Let X be a continuous random variable whose probability density function is: f(x)=Ice + ax, ifXE (0,1) if x ¢ (0:1) 0, Find 1) the coefficient a; 2) P(O.5 X<0.7); 3) P(X>3). Part 3. Statistics A sample of measurements is given Y 8 4 2 2 0 8. Compute the coefficient of...
e . b. (- R 0.3 14 J/ k -mol) 6.4×10-4 M.'si c. 2.1 x 103 M's d. 3.6×10-3 Migl e. 2.5x 1026M''s 23. Nitrogen dioxide reacts with carbon monoxide to produce nitrogen monoxide NO2(g) + CO(g) → NO(g) + CO2(g) A proposed mechanism for this reaction is 2 NO2(g) → NO2(g) + NO(g) (fast, equilibrium) N03(g) + CO(g) → NO2(g) + CO2(g) (slow) What is a rate law that is consistent with the proposed mechanism? a. rate = k[NO2][CO]...
5)Two sets of candidates are competing for the position on theboard of directors of a company. The probabilities that the first andsecond sets will win are 0. 6 and 0. 4 respectively. If the first set wins,the probability of introducing a new product is 0. 8 and the correspond-ing probability if the second set wins is 0. 3. What is the probability thatthe new product will be introduced
Part 2. Random Variables 4. Two independent random variables Xand y are given with their distribution laws 0.3 0.7 0.8 0.2 Pi Find the distribution law and variance for the random variable V-3XY 5. There are 7 white balls and 3 red balls in a box. Balls are taken from the box without return at randomm until one white ball is taken. Construct the distribution law for the number of taken balls. 6. Let X be a continuous random variable...
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...
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
2.1 Let X be a discrete random variable with the following probability distribution Xi 0 2 4 6 7 P(X = xi) 0.15 0.2 0.1 0.25 0.3 a) find P(X = 2 given that X < 5) b) if Y = (2 - X)2 , i. Construct the probability distribution of Y. ii. Find the expected value of Y iii. Find the variance of Y
2) Consider a random variable with the following probability distribution: P(X-0)-0., Px-1)-0.2, PX-2)-0.3, PX-3) -0.3, and PX-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 values. How do these summary measures compare to the...