Mathematical standard deviation What is the standard deviation of 1,2,3,4,5?

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• 1. The probability of a appearing at least once in four independent repeated events is 0.59. What is the probability of a appearing in one test?
• 2. If the probability of event a occurring at least once in four independent repeated tests is 8081, then the probability of event a occurring in one test is 8081______ ．
• 3. (2014 · anqing simulation) in three independent repeated tests, the probability of event a occurring in each test is the same. If the probability of event a occurring at least once is 6364, the probability of event a occurring just once is () A. 14B. 34C. 964D. 2764
• 4. Senior high school mathematics problems (independent repeated test) 1. Assuming that the probability of event a occurring at least once in four independent repeated experiments is 80 / 81, try to find the probability of event a occurring in another experiment 2. Someone shoots at a target until it is hit. The probability of each shot hitting the target is 1 / 3. Calculate the probability of hitting the target for the nth time
• 5. On the problem of mathematical permutation number formula, a-n-m (subscript n, superscript m) = n! Divided by (n-m)! Why? Detailed derivation process, I have not learned this formula, permutation and permutation number, but I still do not know the meaning of this formula, do not know what the formula is? How does the formula of anm = n · (n-1) · (n-2) · (n-3) ···· 3x2x1 come from,
• 6. How to use word to type the number in the root sign, the superscript and subscript of Σ, and the superscript and subscript of ∫
• 7. In mathematical probability statistics, C (m, n), where m is the superscript and N is the subscript, how to calculate?
• 8. How to make subscript and superscript in computer
• 9. What's the probability C with a superscript of 0 and a subscript of 4?
• 10. A problem about C and a formula explained by classical probability If there are 6 tins of a certain beverage in each box, and 2 of them are unqualified, ask the quality supervision personnel to randomly select 2 tins from them, and what is the probability of detecting unqualified products? I can list them, but the teacher gave me two more methods. The algorithms of C and a are not very good. They can only calculate, let alone understand them 1）P=[A(2,2)+C(2,1)C(4,1)A(2,2)]/6X5=3/5 2)[C(2,2)+C(2,1)C(4,1)]/C(6,2)=3/5
• 11. Given that the average is 100 and the standard deviation is 20, the probability of greater than or equal to 120 and less than or equal to 55 can be selected
• 12. When the sample size is 100 cases, the probability of X average value less than or equal to 700 g is calculated
• 13. The average value of a group of data is 153.2, and the standard deviation is 9.36. The probability that the value is greater than or equal to 160 When any data in the group is selected is calculated
• 14. Suppose that the probability of success of one test is p, and 100 independent repeated tests are carried out=______ The standard deviation of success times is the largest, and the maximum value is______ ．
• 15. If the probability of having n children in a family is: PN = α p ^ n, let the birth rates of boys and girls be equal, find the probability of having K boys in the family? In addition, if there is at least one boy in the family, find the probability of having at least 2 boys in the family; if there is no girl in the family, find the probability of having exactly one boy
• 16. The application scope of Bernoulli's probability formula PN (k) = CN ^ k * P ^ k * (1-p) ^ (n-k)
• 17. In one experiment, the probability of event a occurrence is p. in n independent repeated experiments, the probability of event a occurrence for odd number of times is calculated. [1 - (1-2p) ^ 2] / 2
• 18. For the event with probability p, the probability of event occurrence > = k times in n independent repeated tests Probability p event, the probability of K times of event occurrence in n independent repeated tests P (x = k) = C (n, K) * P ^ k * (1-p) ^ (n-k), what function is convenient to calculate: the probability of event occurrence > = k times in n independent repeated tests
• 19. It is known that the probability of event a in a test is p (0
• 20. Let the probability of event a be p = P (a). Now repeat the experiment n times independently, and try to find the probability of a appearing at least once