A) When does combinatorial explosion occcurs? B) What do people do to avoid this from happening when making decisions or solving problems?

UNIVERSITY OF BOTSWANA FACULTY OF SCIENCE DEPARTMENT OF MATHEMATICS MAT271 INTRODUCTION TO MATHEMATICAL STATISTICS TUTORIAL EXECISES 1 PART I. COUNTING PRINCIPLES I (1) A president and a treasurer are to be chosen from a student club consisting of 50 people. How many different choices of officers are possible if (a) there are no restrictions; (b) A will serve only if he is president; (c) B and C will serve together or not at all; (d) D and E will not serve together? (2) Four married couples have bought 8 scats in the same row for a concert. In how many different ways can they be seated (a) With no restrictions? (b) If each couple is to sit together? (c) If all the men sit together to the right of all the women? (3) You are going on a road trip with 4 friends in a car that fits 5 people. How many different ways can everyone sit if you have to drive the whole way? (4) In how many ways can 4 boys and 5 girls sit in a row if the boys and girls must alternate? (5) In how many ways can 5…

Please help me with part 1 of this question! Thank you!

P-1 : An environmental scientist developed and trained a two- class classifier for predicting whether a population contains a specific genetic variant. The scientist uses 1000 samples for their data analysis. Assume that trained classifier predicts that 700 test samples contain the genetic variant and 300 samples don't. If the scientist determines the actual number of samples containing the variant is 610 out of the predicted that 700 test samples and the actual number of samples that do not contain the variant is 165 out of 300 samples those are predicted not to have the variant. Calculate the confusion matrix for the classifier.

Problem from the book

Hiii, I am having a difficult time with problem and the parts that come with it as well. Can you do this problem step by step and can you label the parts as well

Psychology 215 – Basic Statistical Methods - Andrzejewski Problem Set #10 Submit a document with the answers to the following questions along with an Excel workbook with the appropriate computations. Be sure to report the appropriate statistics. 1. A cognitive psychologist was interested in the ability to solve puzzles. They selected 24 college sophomores and matched them on the basis of IQ and assigned them, in groups of four, to one of four puzzle conditions (six blocks of four). The psychologist wants to make sure that all the puzzles are equally difficult. The dependent variable was the amount of time it took for a subject to complete the puzzle. The data are presented below. Were there differences in puzzle difficulty at the .05 level? Make sure to complete a 6-step hypothesis test. Block 1 2 3 4 5 -327872 1 25 25 2 34 38 33 32 36 34 Puzzle 3 31 36 30 41 39 40 4 40 37 32 38 46 39

Please answer the second part (iv) (v) (vi) (vii)

Question 1 In an optical shop, the optician has conducted a survey with his customers with a question “how many pairs of sunglasses do you have?”. The result shows that 30% of the interviewees have 1 pair of sunglasses, 15% of the interviewees have 2 pairs of sunglasses and 15% of the interviewees have more than 2 pairs of sunglasses. The other interviewees do not have any sunglasses. The shop is organizing a private sale and there will be 20 participants. Peter is assigned to take care of those participants who says that they do not have any sunglasses. (a) What is the probability that a participant does not have any sunglasses? (b) Most likely, how many participants in the private sale do not have any sunglasses? Calculate the probability of its happening. (c) Peter is asking for an assistant for the private sales. His application should be approved if the probability that there will be more than 4 participants in the private sale have no sunglasses is higher than 0.8. Would his…