questions 5.13 and 5.15 please.

242 CHAPTER 5 l Discrete Probability Distributions FIGURE 5.6 . Excel results for ; computing the I binomial probability : for Example 5.4 i l I . A .0 c . o t v mailman-rumor: M .l_.\" PROBLEMS FOR SECTION 5.2 LEARNING THE BASICS 5.9 For the following determine P{X) given: N n X WK) 3. 5 0.1] 0 I). ii 0.45 9 c. 14 0.55 B d. B 0.85 5 5.10 Determine the mean and standard ofthe binomial distribution for the variable X in each of the following: a. N:5and7r: nm h. N: Sandrr : 0.50 c. N: 4and1r = 0.75 d. N: 3and1r : 0.45 APPLYING THE CONCEPTS 5.11 The increase or decrease in the price of a stock between the beginning and the end of a trading day is assumed to be an equally likely random event. What is the probabilrty that ' tank will show an increase in its closing price on ve consecutive days? 5.12 According to the Pew Research Center, 51% of American adults own tablets. Source: Dulu extracted lrurrt pewrlrzehlzrllll'HM Using the binomial distribution. what is the probability that in the next six American adults surveyed, a. four will own a tablet? b. all six will own a tablet? c. at least four will own a tablet? d. What are the mean and standard deviation of the number of American adults who will own a tablet in a survey of six? 9. What assumptions do you need to make in (a) through (c)? 5.13 A student is taking a multiple-choice exam in which each question has four choices. Assume that the student has no knowl- edge of the correct answers to any of the questions. She has decided on a strategy in which she will place four balls (markedA. B. C. and D) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are ve multiple-choice questions on the exam. What is the probability that she will get five questions correct? at least four questions correct? no questions correct? no more than two questions correct? 9-??? 5.14 A television manufacturing company performs quality assur- ance tests of its products before shipping them to the market. If the company choos a random sample of 15 sets for the test. and assuming that based on previous data the company has a 6% failure rate for the newly manufactured sets. what is the probability that: a. none ofthe TV sets are defective. b. exactly one ofthe TV sets is defective. (2. two or fewer of the TV sets are defective. d. three or more of the TV . s are defective. 5.15 Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that. on a given day, 20 online retail orders are placed. Assume that the number of online retail orders that turn out to be fraudulent is distributed as a binomial random variable. a. What are the mean and standard deviation ofthe number of on- line retail orders that turn out to be fraudulent? b. What is the probability that zero online retail orders will turn out to be fraudulent? c. What is the probability that one online retail order will turn oul to be fraudulent? d. What is the probability that two or more online retail orders will turn out to be fraudulent? SELF 5.13 In Example 5.4 on page 2'\" . you and two friends E decided to go to Wendy's. Now, suppose that instead you go to Burger King, which recently lled approximately 90.5% of orders conectly. What is the probability that all three orders will be lled correctly? none ofthe three will be filled correctly? at least two of the three will be lled conectly? . What are the mean and standard deviation of the binomial dis- tribution used in (a) through (c)? Interpret these values. e. Compare the result ofla) through (d) with those of Wendy's in Example 5.4 on page 241 and McDonald's in Problem 5.17. has