Question

Lucas is the world's WORST sne cone maker. He drops 78% of the snow cones he makes. It's a terrible waste of sno. Anyway, his managers are fed up and start to collect data. They watch Lucas make a sample of 20 sne cones. a. What is the probability that the sample will contain 12 dropped sno, cones? b. What is the probability that the sample will contain no good sno cones- i.e. he drops them all? c. What is the probability that the sample will contain less than 8 dropped sno cones? d. What is the probability that the sample will contain at least 15 dropped sne cones?

PLEASE SHOW DETAILED WORK ON EACH ANSWER

Answer 1

> 2012 (Ooth) 19 (0.22) +2020 Pl drop) 78% 20.78 pe good) z 1-0.78 20.22. - h = 20 a PC 12 dropped) 10.7832 (0.228 0.0351 20 b PC no good) =P ( all 20 doop) = 20 220 (0.783² 0.0069 G C less than 8 deep.) 28 (0*) 10-227²0 trou 10 • 18/10.229 +20 CO . I62 (0.22) co.ts) 3 (0.22)'t +20 (0.48)+ (0.2216 + 200 CO~22)15 +20, (0.78) C0022) 4 ogs 0.00009 drop) P(x715) 2045 (ORIG'S (0.22) +2016 (0+223 + 2018 C0022) +2019 cooth 20 (0022) 18 +2023 (0.78) +2917 (0.7837 (0.23 P (atleast 15 (ooth) 16 (0022) 4 +26417 10. Welt 18 z Cooth) 0.7343