0.2 Practice tests (1-4) and final exams  (Page 10/36)

29 . You decide to conduct a geometric experiment by flipping a coin until it comes up heads. This takes five trials. Represent the outcomes of this trial, using H for heads and T for tails.

30 . You are conducting a geometric experiment by drawing cards from a normal 52-card pack, with replacement, until you draw the Queen of Hearts. What is the domain of X for this experiment?

31 . You are conducting a geometric experiment by drawing cards from a normal 52-card deck, without replacement, until you draw a red card. What is the domain of X for this experiment?

Use the following information to answer the next three exercises. In a particular university, 27 percent of students are engineering majors. You decide to select students at random until you choose one that is an engineering major. Let X = the number of students you select until you find one that is an engineering major.

32 . What is the probability distribution of X ?

33 . What is the mean of X ?

34 . What is the standard deviation of X ?

4.5: hypergeometric distribution

35 . You draw a random sample of ten students to participate in a survey, from a group of 30, consisting of 16 boys and 14 girls. You are interested in the probability that seven of the students chosen will be boys. Does this qualify as a hypergeometric experiment? List the conditions and whether or not they are met.

36 . You draw five cards, without replacement, from a normal 52-card deck of playing cards, and are interested in the probability that two of the cards are spades. What are the group of interest, size of the group of interest, and sample size for this example?

4.6: poisson distribution

37 . What are the key characteristics of the Poisson distribution?

Use the following information to answer the next three exercises. The number of drivers to arrive at a toll booth in an hour can be modeled by the Poisson distribution.

38 . If X = the number of drivers, and the average numbers of drivers per hour is four, how would you express this distribution?

39 . What is the domain of X ?

40 . What are the mean and standard deviation of X ?

5.1: continuous probability functions

41 . You conduct a survey of students to see how many books they purchased the previous semester, the total amount they paid for those books, the number they sold after the semester was over, and the amount of money they received for the books they sold. Which variables in this survey are discrete, and which are continuous?

42 . With continuous random variables, we never calculate the probability that X has a particular value, but always speak in terms of the probability that X has a value within a particular range. Why is this?

43 . For a continuous random variable, why are P ( x < c ) and P ( x ≤ c ) equivalent statements?

44 . For a continuous probability function, P ( x <5) = 0.35. What is P ( x >5), and how do you know?

45 . Describe how you would draw the continuous probability distribution described by the function $f(x)=\frac{1}{10}$ for $0\le x\le 10$ . What type of a distribution is this?

46 . For the continuous probability distribution described by the function $f(x)=\frac{1}{10}$ for $0\le x\le 10$ , what is the P (0< x <4)?