İf X follows the Poisson probability law such that P (x = 1) = P (x = 2). then ind the probability of 4 successes. %3D %3D
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- A shipment of 5 television sets contains 2 defective sets. A hotel makes a random purchase of 2 of the sets. If x is the number of defective sets purchased by the hotel, find the probability distribution of X. Express the results graphically as a probability histogram. Find the probability distribution of X. 1 0 2 X f(x) (Type integers or simplified fractions.)The random variable X has the probability distribution given in the following table. 1 2 3 4 5 P(X = x) 0.03 0.27 where a, b and e are constants. It is given that E(X) = 3.5 and Var(X) = 1.17. Find the values of a, b and c.A probability distribution gives the possible values of the random variable and the probabilities of each random variable. Probabilities have to be between 0 and 1. The sum of all the probabilities has to be 1. Additionally, the different values for the random variable are disjoint possibilities. In other words P(Xa and X - b) = 0 if a and b are different outcomes. Fill in the missing value for the probability distribution. P(X) 0.151 X 3 4 5 What is P(X-6)? 0.04 0.026 ?
- Solve all the subpartsTwo 6 sided dice are thrown and the scores of each dice are added together. Create a probability space of the possible outcomes. Below P(X) means the probability the sum of the scores is X. Use your probability space to find which of the following are correct. Note more than one answer may be correct. You should check each one and select all answers you believe are correct. P(X=8) = 36 A. 7. P(X2 10): 36 4 C P(X=6) =- 36 15 P(X<7) = 36 %3DI need part d) ONLY
- The probability of an integrated circuit passing a quality test is F. In a batch of 10 integrated circuits find the probabilities thati. 2 will failii. 8 will passiii. at least 2 will failiv. fewer than 2 will fail.Three fair dice are rolled. Let the random variable X be the number of die that are showing a roll of 1. Complete the probability distribution table. X P(X=X 0 1 2 3 Find the mean of this probability distribution E(X)=Prob-1 Probability that cars have been assembled in a particular plant as follows: P(plant1) =20%, P(plant2)=24%, P(plant3)=25%, P(plant4)=31%. Total number of cars manufactured by all plants: 1.2 million/year. Number of cars of no warranty claims manufactured by plant1: 223200/year. Compute the warranty claim rate of the cars assembled in plant1? C: warranty Claim rate NC: No warranty claim rate= 1- C P1 20% Total Cars Manufactured C = P2 NC 24% P3 P4 .% 25% 31% C NC C C Z NC .NC
- IToday's practice The following circuit operates if and only if there is a path of functional devices from the left to the right. Assume the devices fail independently and that the probability of failure for each device is 0.9. What is the probability that the circuit operates? TI 3 T2 4. 5.Find the probability P(Ec) if P(E)=0.17.
