probability of getting exactly 2 correct answers when 4 guesses are made? 1) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. 1 2) n = 4‚ x = 3‚ p = 2) 6 A) 0.012 3) n = 10‚ x = 2‚ p = A) 0.216 B)
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will be on a separate piece of paper in the exam) Questions 1-3Probability = | Shade the coding sheet according to your answers. Q1 The appropriate distribution to use is (a) Poisson distribution (b) Sampling distribution (c) Binomial distribution (d) No distribution is needed to answer this question Q2 The z-value is: (a) Between 0.0 and 0.5 (b) Between 0.5 and 1.0 (c) Between 1.0 and 1.5 (d) Greater than 1.5 (e) A z value is not used to answer this question
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08 1.66 (34.53‚ 40.16) C20 30 39.46 10.65 1.94 (36.16‚ 42.77) C21 30 34.71 9.21 1.68 (31.85‚ 37.57) d) 1 Sample T-Test for Variable C2 n= 30 df= 29 = 36.91 SE= 1.92 α= 1-CC = 1.0.90 = 0.1 e) Apply binomial theorem for x= 16‚ 17‚18‚19‚20 p=0.9 q=0.1 n=20 16 Interval 17 Interval 18 Interval 19 Interval 20 Interval f) Mean from Part A = 37.9263 Variable N Mean StDev SE Mean 90% CI C2 30 36
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more | Probability | 0.39 | 0.31 | 0.1 | 0.09 | ? | Determine the probability that on a given day there are more than two interruptions to the system. (2 decimal places) 2 points Question 2 1. The mean and standard deviation of a binomial distribution with n = 25 and p = 0.8 are | | 20 and 4 | | | 20 and 2 | | | 21 and 2 | | | 22 and 4 | 2 points Question 3 1. Ester Ltd. is planning to launch a new brand of makeup product. Based on market research‚ if yearly
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airplane arrivals‚ or the number of accidents at an intersection) in a specific time period. It is also useful in ecological studies‚ e.g.‚ to model the number of prairie dogs found in a square mile of prairie. The major difference between Poisson and Binomial distributions is that the Poisson does not have a fixed number of trials. Instead‚ it uses the fixed interval of time or space in which the number of successes is recorded. Parameters: The mean is λ. The variance is λ.
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= p k1 k2 kn a1 a2 ⋅⋅⋅ an . k1 ‚ k2 ‚ ⋅⋅⋅‚ kn k1 + k2 +⋅⋅⋅+ kn = p ∑ (1) Here the multinomial coefficient is calculated by p p! . = k1 ‚ k2 ‚ ⋅⋅⋅‚ kn k1 !k2 !⋅⋅⋅ kn ! (2) This is a generalization of the familiar binomial theorem to the case where the sum of n terms ( a1 + a2 + + an ) is raised to the power p. In (1)‚ the sum is taken over all ‚ kn such that k1 + k2 + + kn = p . nonnegative integers k1 ‚ k2 ‚ In this capsule‚ we show that Fermat’s Little Theorem
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points | | | The events in an experiment are mutually exclusive if only one can occur at a time.Answer | | | | | Selected Answer: | True | Correct Answer: | True | | | | | Question 7 2 out of 2 points | | | A binomial probability distribution indicates the probability of r successes in n trials. Answer | | | | | Selected Answer: | True | Correct Answer: | True | | | | | Question 8 2 out of 2 points | | | If fixed costs increase
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Answer Selected Answer: False Correct Answer: False Question 5 If events A and B are independent‚ then P(A|B) = P(B|A). Answer Selected Answer: False Correct Answer: False Question 6 A binomial probability distribution indicates the probability of r successes in n trials. Answer Selected Answer: True Correct Answer: True Question 7 The events in an experiment are mutually exclusive if only one can occur
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Illinois State University Mathematics Department MAT 305: Combinatorics Topics for K-8 Teachers Basic Counting Techniques The Addition Principle The Multiplication Principle Permutations Combinations Circular Permutations Factorial Notation Here we conceptualize some counting strategies that culminate in extensive use and application of permutations and combinations. The questions raised all require that we count something‚ yet each involves a different approach. The Addition Principle
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Section 5 Permutations and Combinations In preceding sections we have solved a variety of counting problems using Venn diagrams and the generalized multiplication principle. Let us now turn our attention to two types of counting problems that occur very frequently and that can be solved using formulas derived from the generalized multiplication principle. These problems involve what are called permutations and combinations‚ which are particular types of arrangements of elements of a set. The
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