1 answer

(4) Consider the probability that no less than 87 in a sample of 153 software users will not call...

Question:

(4) Consider the probability that no less than 87 in a sample of 153 software users will not call technical support. Assume t
(4) Consider the probability that no less than 87 in a sample of 153 software users will not call technical support. Assume the probability that a given software user will not call technical support is 63%. (o) Set up a sun for tebblit ig sgma nolation and sosu sampling with replacement. You need not evaluate this sum. (4 points) (b) What is the expected number of users who will not call technical support in a random sample of 153 software users? (2 points) (c) Approximate the probability using the normal distribution, showing all relevant z-score calculations. Round your answer to four decimal places. (4 points)

Answers

it is a binomial probability distribution,               because there is fixed number of trials,
               only two outcomes are there, success and failure
               trails are independent of each other
and probability is given by              

P(X=x) = C(n,x)*px*(1-p)(n-x)

where  
Sample size , n =    153
Probability of an event of interest, p =   0.63

a)

P(no less than 87) = P(X≥87) = ΣC(n,x)*px*(1-p)(n-x) where x goes from 87 to 153

P(x≤87) =  ΣC(153 ,x)*0.63x*(1-0.63)(153-x) where x goes from 87 to 153

b)

expected users = np =153 * 0.63 =    96.39

c)

Binomial to normal approximations using continuity

Sample size , n =    153          
Probability of an event of interest, p =   0.63          
right tailed              
X ≥   87          
              
Mean = np =    96.39          
std dev ,σ=√np(1-p)=   5.9720          
              
P(X ≥   87   ) = P(Xnormal ≥   86.5   )
              
Z=(Xnormal - µ ) / σ =    -1.656          
              
=P(Z ≥   -1.656   ) =    0.9511 (answer)
              

.

Similar Solved Questions

4 answers
Real world situation of the Cartesian coordinate system
Describe applications of the Cartesian coordinate system to plot a real world situation. In your description, indicate the characteristics of each coordinate and apoint in terms of specific x and y coordinates....
1 answer
Corporate Tax Liability The Talley Corporation had taxable operating income of $305,000 (i.e., earnings from operating...
Corporate Tax Liability The Talley Corporation had taxable operating income of $305,000 (i.e., earnings from operating revenues minus all operating costs). Talley also had (1) interest charges of $60,000, (2) dividends received of $10,000, and (3) dividends paid of $25,000. Its federal tax rate was ...
1 answer
Testbank, Question 082 Predict the major product for the following reaction. Br2: FcBs. BI
Testbank, Question 082 Predict the major product for the following reaction. Br2: FcBs. BI...
1 answer
Find a particular solution to the differential equation using the Method of Undetermined Coefficients. dPy dy...
Find a particular solution to the differential equation using the Method of Undetermined Coefficients. dPy dy -7 + 2y=x e* dx ox? A solution is yp(x)=...
1 answer
Is the male urethra longer or shorter than the female urethra?
Is the male urethra longer or shorter than the female urethra?...
1 answer
Betty consumes leisure and food and both are normal goods. a. Show graphically what would happen...
Betty consumes leisure and food and both are normal goods. a. Show graphically what would happen to the number of hours that Betty will work if she sees an increase non-labor income. b. Show with a graph and explain how Betty’s hours worked can decrease if she sees an increase in wages....
1 answer
Knd A al the closed 2 Cls Js
Knd A al the closed 2 Cls Js...
1 answer
Cost Accounting: Process Costing question, based the Work in process(WIP) account. Process B had no opening...
Cost Accounting: Process Costing question, based the Work in process(WIP) account. Process B had no opening inventory. 13 500 Units of raw materials were transferred in at N$4.50 per unit. Additional material at N$1.25 per unit was added in the process. Labour and overheads were N$6.25 per completed...
1 answer
A statement of cash flows, including footnotes typically would not include which item? Select one: a....
A statement of cash flows, including footnotes typically would not include which item? Select one: a. Capital stock issued at an amount greater than par value b. Issuance of stock in exchange for new equipme c. Cash dividends declared d. A purchase of treasury stock e. A building purchase mortgage o...
1 answer
A copper rod and an aluminum rod of equal diameter are joined end to end in good thermal...
a copper rod and an aluminum rod of equal diameter are joined end to end in good thermal contact. The temperature of the free end of the copper rod is held constant at100 C and that of the far end of aluminum rod is held at 0 C. If the copper rod is .15m long, what must be thelength of the aluminum ...
1 answer
A certain substance has a heat of vaporization of 47.27 kJ/mol. At what Kelvin temperature will...
A certain substance has a heat of vaporization of 47.27 kJ/mol. At what Kelvin temperature will the vapor pressure be 3.00 times higher than it was at 329 K?...
1 answer
2. Say, instead, that an individual's preferences for consumption are expressed according to: Utility - U(C)Ca,...
2. Say, instead, that an individual's preferences for consumption are expressed according to: Utility - U(C)Ca, where C is consumption. Is the value of a positive or negative? Base your answer on your intuition about individuals' preferences and knowledge of algebra (helpful to use a graph)....
1 answer
6. Consider a thin rod of length L laying on the x-axis as shown in the...
6. Consider a thin rod of length L laying on the x-axis as shown in the figure below. The charge density is non uniform and varies as λ = λ。x/L, where λ, is a constant. (a) Find the magnitude of the force on a point charge q at x-a in terms of q, λ, a, and L. (b) S...
1 answer
Current year Amount Current year Percent Sales Previous year Amount Previous year Percent $577,000 100% Cost...
Current year Amount Current year Percent Sales Previous year Amount Previous year Percent $577,000 100% Cost of goods sold $196,000 311,580 100 % 54% Gross profit 243,040 | 12 $265,420 $ 253,760 43.98 % Selling expenses 103,860 99,200 Administrative expenses 115,400 94,240 Total operating expenses I...
1 answer
6. (10 marks) A sample of 3.00 mol of ideal gas with Cv,m = 2.5R undergoes...
6. (10 marks) A sample of 3.00 mol of ideal gas with Cv,m = 2.5R undergoes the change of states shown in the following P-T diagram (a + b → → a). Calculate the amount of expansion work (w) involved in each segment. P (atm) irreversible 1.50 reversible irreversible 1.001 - 400 600 T(K)...
1 answer
Apple Acer Inc Consolidated 241 25 375 100 134 75 6) Based on the above, If...
Apple Acer Inc Consolidated 241 25 375 100 134 75 6) Based on the above, If Apple decides to acquire ACER for $80 million, create the consolidated balance sheet 7) Based on the rating agency ratio, assess what the investment bankers are telling that the credit quality of the consolidated company imp...
1 answer
Due in 37 minutes Average Force A golf ball of mass 42.1 g is dropped from...
Due in 37 minutes Average Force A golf ball of mass 42.1 g is dropped from a height h = 1.27 m onto a hard floor and bounces back to exactly that same height. What is the average force (in N) on the ball during the 0.01 1 s that it was in contact with the floor? (Please don't forget to convert t...
1 answer
Let Jennifer's utility function be U(C,L) = log(C)+4log(L). Let T denote time available to split between...
Let Jennifer's utility function be U(C,L) = log(C)+4log(L). Let T denote time available to split between leisure and work, w denote the wage rate and V ≥ 0 denote non-labor income (as in class). Derive her optimal choice as a function of w, T , and V . Calculate the ?rst derivative of her opt...
1 answer
CH3 For the following reaction sequence draw products A,B,C, and D. (4 pts) 5. Cн-CH, Br...
CH3 For the following reaction sequence draw products A,B,C, and D. (4 pts) 5. Cн-CH, Br KOC(CH3)3 Br2 A В cocCt DMSO C CCH3 CH2Br NaH D С 3...