TEST 1 Measures of central tendency 1) Determine the following values: Mean: 1 2 2 3 1 2 2 3 Mode: 1 2 2 3 1 2 2 4 Median: 1 2 2 4 1 2 2 4 Measures of variability 1 2 2 4 Sample variance 1 2 2 4 1 2 2 4 Sample Standard deviation 1 2 3 4 1 2 3 4 Range 1 2 3 4 1 2 3 4 Variation coefficient 1 2 3 4 2) Determine the average number of computers in households: number of computers 0 1 2 3 number of households 6 10 15 5 3) How many ways can two students be selected from a group of 6 students? 4) If each value from random sample were tripled then its variance is: nine times higher comparing to original one three times higher comparing to original one twice higher comparing to original one the same 5) Complete the following rules: ANSWER (choose a)b)c)d)) "A)Addition Rule: P(A ∪ B) =…..., where A and B are events." a) ... = P(A) ⋅ P(B) A) B)Complementary Rule: P(A') = ……... denotes the probability of an event not happening. b) ... = P(A) + P(B) - P(A∩B) B) C)Independent events: P(A∩B) = ………… c) … = 1 - P(A). P(A') C) D)Conditional probability: P(A | B) = ……….. d) … = P(A∩B) / P(B) D) 6) There are 5 green 7 red balls. Two balls are selected one by one without replacement. Find the probability that first is green and second is red. 7) What is the probability of getting a sum of 8 when two dice are thrown? 8) The number of days on business trip Probability 0 0.2 1 0.3 2 0.2 3 4 0.1 "Fill in the missing value. Calculate mean, variance, mode, median." 9) The probability of success (hitting the basket) is 0.8. We have 5 attempts. What is the probability of hitting the basket: a) just 4x? b) maxium 4x? c) less than 2x? E(X)= D(X)= 10) The number of telephone connections to the rescue system is an average of 4 calls per 20 minutes. a) What is the probability that the system receives 8 calls in 30 minutes? b) no more than 7 calls per hour? c) at least 1 call per 40 minutes? E(X)= D(X)=