need to find out if im correct if not whats the correct answer work #3 Between a

Question

need to find out if im correct
if not whats the correct answer

work #3 Between a z-score of 25 and mean O 5 87 the Between a z-score of 1,05 and the mean 853 At or above a z score of 1.15 as O or below a score of 15 o 8747 or w a z-score of -1.50 O,0608 belo ve a score of -1.75 OIO ol the z-scores of -1.05 and 50 Oelo 15 Ql4 eq O 54 the z-scores of 1.05 and .25 og53/-o, 57en o.25 tween the z-scores of 1.25 and .50 O,8944 Cloq 5 release 10 balloons. There is a 70% chance they will reach Boston. my Harris releases 12. What is the probability t exactly 9 balloons reach New 237 o.q5 n people were shown pictures ofLady Gaga, 95% of them ognized her. Find the probability that among 12 randomly selected ple, exactly 10 will recognize Lady Gaga. O 1915 qu91 018

Explanation / Answer

P(0< z < 0.25) = P(z < 0.25) - P(z<0) = 0.5987 - 0.5 = 0.0987

P(0< z < 1.05) = P(z < 1.05) - P(z<0) = 0.8531 - 0.5 = 0.3531

P(z > 1.15) = 0.1251

P(z < 1.15) = 0.8749

P(z < -1.5) = 0.0668

P(z > -1.75) = 0.9599

P(-1.05 < z < 0.5) = P(z < 0.5) - P(z < -1.05) = 0.5446

P(0.25 < z < 1.05) = P(z < 1.05) - P(z < 0.25) = 0.2544

P(0.5 < z < 1.25) = P(z < 1.25) - P(z < 0.5) =0.2029

(10)
here p = 0.7
P(X=9) = 12C9 * p^9 * (1-p)^3 = 0.0173

(11)
here p = 0.95
P(X = 10) = 12C10 * p^10 * (1-p)^2 = 0.0988

(12)
p = 0.25
P(X>=1) = 1 - P(X=0) = 1 - (0.75)^10 = 0.9437

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