Question

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4 Customers who are registered on a corporate Web site are summarized by the type of shipping contract they use and the number of orders in the previous month. The number of customers in each category are shown in the following table Shipping Contract Express Standard No orders One order More than one order Total Total 25 15 40 65 44 109 44 20 64 134 79 213 Suppose that three customers are selected randomly, without replacement, for a survey a) What is the probability that at least two selected customers use express shipping? b) What is the probability that customers from all three order categories are selected? of the 26 letters (a-z) or 10 A computer system uses passwords that are exactly 5 characters and each character is integers (0-9). You maintain a password for this computer system. 5. one Suppose a hacker selects a password at random. What is the probability that your password is selected? b) a) Let A denote the subset of passwords that begin with a vowel (either a, e, i, o, or u). Suppose a hacker knows that your password is in event A and selects a password at random from this subset. What is the probability that your password is selected? Consider the endothermic reactions in the table below. Let A denote the event that a reaction's final temperature is 271 K or less. Let B denote the event that the heat absorbed is above target. Use the addition rules and Venn Diagram to calculate the following probabilities. a) P(AUB) b) P(AnB) c) P(A U B) 6. Heat Absorbed (cal) Final Temperature Conditions Below Target Above Target 266 K 21 40 271 K 27 44 274 K 56 36

Answer 1

X =2 a) we have total 213, out of which 134 used express shopping. The sample Sox 983, so the probabay that atleast å selected customers use express shopping P(x22) & (34 - 213-134 ) x=2 213 1346 x 7%, 4347% 213 21363 e 0.44331+ 0.24691 = (0.6902 b) Here we need to select from 40 customers of uno Siders I from 109 customers of al order & 1 from 64 customers of more than one sider. The probability as 400 x 1096 x 644 40x109x64 1587986 - 6. 1757] 213 C3