Question

A-E please.

Apoll reported that 80% of adults were stated with the job the major altres were doing. Suppose 25 autre selected at random and the number who we satisfied is recorded Completo parts (a) through (6) below (a) Explain why this is a binomial experiment. Choose the correct answer below O A This is a bromal experiment because there the musly exclusive outcomes for each listed number of fals, trecutcome one does not affect the outcome of another, and the probably of scess is the same for eachtra OB. This is a bromial experiment because there are two mutually and the outcomes for each othere is a fxed nunch of rise, the outcome of one stal does not affect the outcome of another, and the probability of succes charges in sacha OC This is a broma parimat became there we womaly exclusive outcomes for each other brod bar of trials, the core of one or not affect te outcome of one, and probably of .com is the same for each trial OD. This is a binomi pertinent because there are two mually dushe outcomes for each war scando number of the outcome of one trial does not affect the outcome of notes and the proberity of succon sa Find and interpret the probably that exactly of them are satisfied with the arties. The probability that exactly 14 adults are satisfied with the airlines is Round to four decimal places as needed.) Interpret the probability Select the correct choice below and ful in the answer box within your choice Round to the nearest Integer as needed) OA In 10 randomly arond survey of Souls, act out of the 23 aouts would be expected to be siled with the wine boot those surveys OR 100 randomly compiled waves of that of the 25 de would be expected to be said in a snahou of the survey OG 100 randomly and surveys 35 out or more of the 25s would be expected to be saved was there in the whole surveys e) Find and were probably at the 21 of them are salied with earlines The probably that at east 21 adults are satisfied with the resis (Round to four decimaluces ded)

Answer 1

4= |- = 1-0.66 = 0.34, OA The propostion of adulto salist ied with the job The major airlines were doing. (p)= 0.66 1667.) The sample number of adults selected (n) = 25. (a) The experiment is binomid enperiment because option. This is a binomial experiment because there are two mutantly enclusive out comes (xatistied, not satistied) for each trial there is tixed number of triah, a6), the outcomes of one trial does not atteet the outcome of another tries, and the probability of same for each trial. b The probability that exactly 14 adults are satistied with 10.0931 P (n=14) = 25 G14 (0.66)14 10.34)" = 0.0931 option @ In 100 randomly sampled surveys of as adults, exactly 14 out of the 25 adults would be expected to be satistied with the air lines is about 107 of those surveys. loox0 0931= 9-31= 210 appson Success in the the airlines The probability that at least al of them satistied with the airlines is 0.0400 pla 221) = plx=21) + P(X=22) + Pla=23) + pla= 24) +P/X=25) = 2562, (0.66 10.34)" + as(22 (0.463² (0.34) ²+ 25 (23 10.66) 23 (1134) ² +25l24 (catt? (0.34)' + as Carloubt) 25 (0.3430 0.0274 +0.0097 +0.0025 +0.0004 + 0.0000 20.0400 option .. in 100 randomly sampled Surreys of 85 adults. 2lor more of the 25 adults would be expected to be satisfied with airlines in about I of those surveys (100x0040=4)

(d). The probability that between 11 and 14 adults inclusive are satistied with the airlines is [6.1906 pltis?€14) = P(x=4) + P(a=12) + P(x=13) + Plan=10) = 25C, Co. bb)" (6.34 ) " + 2562 (0.663² (0.3433 425 61310tt33 (0.3432 +25 Cu (0.66) (0.34)" 0.0127 +0.0288 +0.0560 + 0.0931 0.1906 19 of those option in 100 randenly sampled surveys of 25 adults, between and 14 of 25 adults would be expected to be Satisfied with the airlines in about surveys. pem>22)= pa=23) + plazzy) tp (2925) = 25C23 (cobb ²3 (0.343² 785 (4 (0.66) 2 (0.34) * erfar (0.66 116.3459 0.00257 0.0004 +0.0000 = 0.0029 The result is unusual, because pensaa)=Lo10029] Under the assumption that the proportion of adults that are satistied with the airlines is 66%. Thus in 100 fandom samples of size 25, the result to expected in about of the samdom samples 0.29 100 xo.0029