Question

In the past few years, outsourcing overseas has become more frequently used than ever before by U.S. companies. However, outsourcing is not without problems. A recent survey by Purchasing indicates that 20% of the companies that outsource overseas use a consultant. Suppose 15 companies that outsource overseas are randomly selected.

a. What is the probability that exactly six companies that outsource overseas use a consultant?
b. What is the probability that more than nine companies that outsource overseas use a consultant?
c. What is the probability that none of the companies that outsource overseas use a consultant?
d. What is the probability that between four and seven (inclusive) companies that outsource overseas use a consultant?
e. Construct a graph for this binomial distribution. In light of the graph and the expected value, explain why the probability results from parts (a) through (d) were obtained.

Appendix A Statistical Tables

*(Round intermediate values to 4 decimal places. Round your answer to 4 decimal places.)
**(Round your answer to 3 decimal places when calculating using Table A.2.)

a. P(x = 6) =   *
b. P(x > 9) =   **
c. P(x = 0) =   *
d. P(4 ≤ x ≤ 7) =   **

Answer 1

P=0.2 n=15 wsing binomial probability distribution, PCX=2)= inco peq n-a ; q-1-pa - Let x be the companies that outsource, overseas use a consultant @ 15-6 P(x=6)= 15 Cơ-22° Co-5-6 =10.0429] P(x-1) = P(X=10) + 2x=11) +Px=12)+P(x =13) +P(x=14) +P(x=15) | 6 = 15,0.23'0(0.5) +---+15., 6.2310 Co.839 = 10.000) | © PCx=0): 15cc.23°CO-8)^ = 6:085 2] PC4<*57)= P(X=4) + P(X=) +PCX=6) +PCxzel 10.3476) 0.3476 CScanned with CamScanner

We are allowed to solve first 4 subparts only