Assume a Poisson distribution. Find the following probabilities. a Let=70 find P(X > 31
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- Assume a Poisson distribution. Find the following probabilities. a. Let A = 7.0, find P(X2 2). b. Let = 0.5, find P(Xs 1). c. Let A = 3.0, find P(Xs3). a. When A = 7.0, P(X2 2) = (Round to three decimal places as needed.) b. When 2 = 0.5, P(Xs1) =D (Round to three decimal places as needed.) c. When A = 3.0, P(Xs 3) = %3D (Round to three decimal places as needed.)Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed.Let X have an exponential distribution with 0-1. The probability P 6. <5is equal to
- If X has a binomial distribution, n=5 and p=0.4. Determine the probabilities of X=0. a. -1.2321 b. 0.07776 c. 0.1073741824 d. 0.1534621Let X be the total number of groups of customers at Jellibabix's restaurant over one day in Lugdunum. Experience shows that X Poi(30). Each table (group of customers) orders at least one bottle of wine with probability p = 0.80. Suppose each table decides independently from other tables whether or not to order wine. If Y is the number of tables that ordered at least one bottle of wine, find the distribution of Y (hint: consider the distribution of Y given X = x).Assume a Poisson distribution. Find the following probabilities. a. Let λ = 2.0, find P(X ≥ 2). b. Let λ = 0.5, find P(X ≤ 1). c. Let λ = 5.0, find P(X ≤ 3). d. Let λ = 3.9, find P(X≥ 2). e. Let λ = 5.1, find P(X ≤ 3).
- 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.The table defines a discrete probability distribution. Find the expected value of the distribution. x 0 1 2 3 Pr(x) 3/16 5/16 1/16 7/16Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. x P(x) 0 0.27 10.19 2 0.21 3 0.04 4 0.26 Probability distribution. O Not a probability distribution. The sum of the P(x)'s is not 1. Ś
