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37. Then candidates for a job have been ranked 1, 2, 3,..., n. Let X = the rank of a randomly selected candidate, so that X has pmf p(x) 1/n x=1, 2, 3,..., n otherwise (this is called the discrete uniform distribution). Compute E(X) and V(X) using the shortcut formula. [Hint: The sum of the first n positive integers is n(n + 1)/2, whereas the sum of their squares is n(n + 1)(2n + 1)/6.] 38. Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities .15, .35, .35, and .15, respectively. Insbnoqobni to soffolip a. Calculate E(X) and then E(5 - X). b. Would the repair facility be better off charging a flat fee of $75 or else the amount $[150/(5 - X)]? afolls [Note: It is not generally true that E(c/Y) = c/E(Y).] 39. A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to custom- ers in 5-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has pmf graph about b. Use t a gen 41. Use the V(ax+ E E[h(X)] = 42. Suppose a. E(X² E(X² b. V(X) c. The ELXC 43. Write a What ha 44. A result any prob that is at probabil deviation a. Wha k = b. Com X 1 2 3 4 p(x) .2 .4 .3 .1 13. of k the mon Compute E(X) and V(X). Then compute the expected number of pounds left after the next customer's order is shipped and the variance of the number of pounds left. [Hint: The number of pounds left is a linear function of X.] 40. a. Draw a line graph of the pmf of X in Exercise 35. 139 prob c. Let. ities and d. Give

37. Then candidates for a job have been ranked 1, 2, 3,..., n. Let X = the rank of a randomly selected candidate, so that X has pmf p(x) 1/n x=1, 2, 3,..., n otherwise (this is called the discrete uniform distribution). Compute E(X) and V(X) using the shortcut formula. [Hint: The sum of the first n positive integers is n(n + 1)/2, whereas the sum of their squares is n(n + 1)(2n + 1)/6.] 38. Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities .15, .35, .35, and .15, respectively. Insbnoqobni to soffolip a. Calculate E(X) and then E(5 - X). b. Would the repair facility be better off charging a flat fee of $75 or else the amount $[150/(5 - X)]? afolls [Note: It is not generally true that E(c/Y) = c/E(Y).] 39. A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to custom- ers in 5-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has pmf graph about b. Use t a gen 41. Use the V(ax+ E E[h(X)] = 42. Suppose a. E(X² E(X² b. V(X) c. The ELXC 43. Write a What ha 44. A result any prob that is at probabil deviation a. Wha k = b. Com X 1 2 3 4 p(x) .2 .4 .3 .1 13. of k the mon Compute E(X) and V(X). Then compute the expected number of pounds left after the next customer's order is shipped and the variance of the number of pounds left. [Hint: The number of pounds left is a linear function of X.] 40. a. Draw a line graph of the pmf of X in Exercise 35. 139 prob c. Let. ities and d. Give

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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38. Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities .15, .35, .35, and .15, respectively.

a. Calculate E(X) and then E(5 - X).
b. Would the repair facility be better off charging a flat fee of $75 or else the amount $[150/(5 - X)]? 

[Note: It is not generally true that E(c/Y) = c/E(Y).] 

37. Then candidates for a job have been ranked 1, 2, 3,..., n. Let X = the rank of a randomly selected candidate, so that X has pmf p(x) 1/n x=1, 2, 3,..., n otherwise (this is called the discrete uniform distribution). Compute E(X) and V(X) using the shortcut formula. [Hint: The sum of the first n positive integers is n(n + 1)/2, whereas the sum of their squares is n(n + 1)(2n + 1)/6.] 38. Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities .15, .35, .35, and .15, respectively. Insbnoqobni to soffolip a. Calculate E(X) and then E(5 - X). b. Would the repair facility be better off charging a flat fee of $75 or else the amount $[150/(5 - X)]? afolls [Note: It is not generally true that E(c/Y) = c/E(Y).] 39. A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to custom- ers in 5-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has pmf graph about b. Use t a gen 41. Use the V(ax+ E E[h(X)] = 42. Suppose a. E(X² E(X² b. V(X) c. The ELXC 43. Write a What ha 44. A result any prob that is at probabil deviation a. Wha k = b. Com X 1 2 3 4 p(x) .2 .4 .3 .1 13. of k the mon Compute E(X) and V(X). Then compute the expected number of pounds left after the next customer's order is shipped and the variance of the number of pounds left. [Hint: The number of pounds left is a linear function of X.] 40. a. Draw a line graph of the pmf of X in Exercise 35. 139 prob c. Let. ities and d. Give
Transcribed Image Text:37. Then candidates for a job have been ranked 1, 2, 3,..., n. Let X = the rank of a randomly selected candidate, so that X has pmf p(x) 1/n x=1, 2, 3,..., n otherwise (this is called the discrete uniform distribution). Compute E(X) and V(X) using the shortcut formula. [Hint: The sum of the first n positive integers is n(n + 1)/2, whereas the sum of their squares is n(n + 1)(2n + 1)/6.] 38. Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities .15, .35, .35, and .15, respectively. Insbnoqobni to soffolip a. Calculate E(X) and then E(5 - X). b. Would the repair facility be better off charging a flat fee of $75 or else the amount $[150/(5 - X)]? afolls [Note: It is not generally true that E(c/Y) = c/E(Y).] 39. A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to custom- ers in 5-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has pmf graph about b. Use t a gen 41. Use the V(ax+ E E[h(X)] = 42. Suppose a. E(X² E(X² b. V(X) c. The ELXC 43. Write a What ha 44. A result any prob that is at probabil deviation a. Wha k = b. Com X 1 2 3 4 p(x) .2 .4 .3 .1 13. of k the mon Compute E(X) and V(X). Then compute the expected number of pounds left after the next customer's order is shipped and the variance of the number of pounds left. [Hint: The number of pounds left is a linear function of X.] 40. a. Draw a line graph of the pmf of X in Exercise 35. 139 prob c. Let. ities and d. Give
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