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 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 ?J and K are independent events. P(J | K) = 0.93. Find P(J) %3D P(J)% = Hint: Independent Events Video on Independent Events +1 Submit Question 17,214 4. NOV 17 étv 3D MacBook AirTwo 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 %3D
- X P(x) =C p*q"-x %3D When processing credit-card applications there is a 40% chance that an application will have incomplete or insufficient information and require research. You have 5 applications in your to-do pile and would like to leave early today. (a) Fill in the values: n = q = (b) What is the probability of exactly three applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= (c) What is the expected number of applications that will need research? Answer= (d) What is the probability of having AT LEAST the expected number of applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= Please answer all parts of the question.Show work for every step. Two types of customers (Preferred and Regular) call a service center. Preferred customers call with rate 3 per hour, and Regular customers call with rate 5 per hour. The interarrival times of the calls for each customer type are exponentially distributed. If the call center opens at 8:00 AM, what is the probability that the first call (regardless of customers type who calls) is received before 8:15 AM?Q1A Suppose that the probability of finding defectives within a manufactured lot of electrical fuses is 0.09. Assume the probability distribution function (PDF) is binomial. Let X be the number of defectives within the sample. In a sample of 25 fuses, find the probabilities: (a) P(X 2), (b) P(X > 0), (c) P(1 ≤ X < 4). === B Suppose the discrete random variable X has the PDF as in the table below. Find: (a) F(7), (b) E(4-3X). I 4 6 7 8 9 f(x) 0.2 0.25 0.15 0.3 0.1
- Let X-binomial( n = 11 , p) such that P(X= 8)%3D P(X= 9 ). Find the success probability p. 0.250 0.375 0.750 0.625IToday'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.solve part a