27) Amume that zscoms are nornally distributed wiath a mean of 0 and a standard

Question

27) Amume that zscoms are nornally distributed wiath a mean of 0 and a standard devlation of 1. 2) P(-eczca)-0.4314, find e A)-018 B) 0.57 C) 0.3328 D) 149 28)Onatent, 74% of the quetim are areweredcorrectly lnilquetona are correct, how many 2g) quetione are on the beet? B) 37 queetilora D) 67 questiona A) 150 quentions C) 82 quetion 29) The manager of a bank recorded the amount of time each custoener opent walting In line during 29) peak businees hours one Monday The frequeney table below summartneo the roults Waiting Time Number of Customers (minutes) 0-3 10 12 8-11 12-15 16-19 20-23 24-27 It we randomly celect one of the customers reprecented in the table, what lo the probabliry that the walting time Is at least 12 minutes or between 8 and 15 minutes? A) 0093 B) 0.558 C) 0727 D) 0681 30) In a data cet with a range of 554 to 105.4 and 400 obeervations, there are 276 oboervations with 30) values less than 36 Find the percentile for 86 A) P69 B) P612 C) P 122.56 D) P32 31) Fund the standard deviation for the given sample data Round your anewer to one more 31) declmal place than the original data. 226 61 61 360 23.3 203 A) 3.35 B) 361 C) 43477 D) 39990

Explanation / Answer

Soution

27)

P(-a < Z < a) = 0.4314

P(Z < a) - P(Z < a) = 0.4314

2P(Z < a) - 1 = 0.4314

2P(Z < a) = 1 + 0.4314

2P(Z < a) = 1.4314

P(Z < a) = 1.4314 / 2 = 0.7157

P(Z < 0.57) = 0.7157 Using z table ,

a = 0.57

Option B) is correct .

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