![SOLUTION](//img.homeworklib.com/questions/593cb400-c8fb-11eb-8b48-7307b451110b.png?x-oss-process=image/resize,w_560)
![{color{Blue} mathbf{22.}}](//img.homeworklib.com/questions/59a39770-c8fb-11eb-a646-2b74e70c4d8c.png?x-oss-process=image/resize,w_560)
![sum of probability is equal to l](//img.homeworklib.com/questions/5a06b340-c8fb-11eb-8dd6-07b028bd5baa.png?x-oss-process=image/resize,w_560)
![27 27 9](//img.homeworklib.com/questions/5a691c40-c8fb-11eb-83c2-e77f3a7ca912.png?x-oss-process=image/resize,w_560)
![27 27 927](//img.homeworklib.com/questions/5acbeff0-c8fb-11eb-809d-efc9e32cb9a3.png?x-oss-process=image/resize,w_560)
![X={color{Red} rac{2}{27}}](//img.homeworklib.com/questions/5b2f6e60-c8fb-11eb-a961-c533a2f608d7.png?x-oss-process=image/resize,w_560)
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![formula : X ~ binomial(n,p)](//img.homeworklib.com/questions/5ba939e0-c8fb-11eb-8d1f-25f448666dca.png?x-oss-process=image/resize,w_560)
![7l where, C = r!n -r)!](//img.homeworklib.com/questions/5c09f720-c8fb-11eb-ab92-812c2eb0847c.png?x-oss-process=image/resize,w_560)
![- 0.25, n-4, q 1 - p-0.75 23.givenD](//img.homeworklib.com/questions/5c76c690-c8fb-11eb-8691-fbac40a7e88b.png?x-oss-process=image/resize,w_560)
![P(more than one) = P(X > 1)](//img.homeworklib.com/questions/5d011a40-c8fb-11eb-b366-eb1e69bdaebe.png?x-oss-process=image/resize,w_560)
![P(X 1) 1- P(X <1)](//img.homeworklib.com/questions/5d62e5a0-c8fb-11eb-8315-6fc7df4ba284.png?x-oss-process=image/resize,w_560)
![P(X>1)=1-left { P(X=0) +P(X=1) ight }](//img.homeworklib.com/questions/5ddacea0-c8fb-11eb-bebc-25d54002385c.png?x-oss-process=image/resize,w_560)
![P(X > 1) 1-IGC * 0.250 * 0.754-0) + (1C * 0.251 * 0.754-1 )](//img.homeworklib.com/questions/5e4123f0-c8fb-11eb-a90f-f7b30b568a2e.png?x-oss-process=image/resize,w_560)
![P(X > 1) = 1-{(1 * 1 * 0.754) + (4 * 0.25 * 0.753) }](//img.homeworklib.com/questions/5ece5740-c8fb-11eb-8857-236a8699603a.png?x-oss-process=image/resize,w_560)
![PX>1)1-0.7383](//img.homeworklib.com/questions/5f316f40-c8fb-11eb-b9cd-bd680899af32.png?x-oss-process=image/resize,w_560)
![P(X > 1) 0.2617](//img.homeworklib.com/questions/5fa59ba0-c8fb-11eb-9b7c-85fced13e813.png?x-oss-process=image/resize,w_560)
![P(X 1) 0.26](//img.homeworklib.com/questions/60066660-c8fb-11eb-8f09-53579335de25.png?x-oss-process=image/resize,w_560)
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![24. given : p = 0.70. n = 15, q = 1-p 0.30](//img.homeworklib.com/questions/607e6830-c8fb-11eb-ba9d-bb427cee465b.png?x-oss-process=image/resize,w_560)
![15 -ฯ P(X = 11) =15 C * 07011 * 0.30 15-11](//img.homeworklib.com/questions/60e02f70-c8fb-11eb-9157-155ee50b2263.png?x-oss-process=image/resize,w_560)
![15! P(X 11) 0.70110.304 1115 11)!](//img.homeworklib.com/questions/61412970-c8fb-11eb-8af6-b3c5bd273db5.png?x-oss-process=image/resize,w_560)
![P(X 11) 1365 * 0.701 * 0.304](//img.homeworklib.com/questions/61a635f0-c8fb-11eb-9d3c-b74695d078d8.png?x-oss-process=image/resize,w_560)
![P(X-11) 0.2186](//img.homeworklib.com/questions/620832b0-c8fb-11eb-8a4a-0953028c1a36.png?x-oss-process=image/resize,w_560)
![P(X-11) 0.2186](//img.homeworklib.com/questions/620832b0-c8fb-11eb-8a4a-0953028c1a36.png?x-oss-process=image/resize,w_560)
![P(X = 11) 0.22](//img.homeworklib.com/questions/62c955c0-c8fb-11eb-b6fb-3b6ad518dbb7.png?x-oss-process=image/resize,w_560)
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![25. given p- 0.40, n-9, q-1-p-0.60](//img.homeworklib.com/questions/632c7100-c8fb-11eb-88b0-c7aca66d355f.png?x-oss-process=image/resize,w_560)
![Plat least one) = P(X > 1)](//img.homeworklib.com/questions/638f02c0-c8fb-11eb-8279-77ef9a866dd1.png?x-oss-process=image/resize,w_560)
![P(Xgeq 1)=1-P(X=0 )](//img.homeworklib.com/questions/63f41100-c8fb-11eb-984a-474e06332b74.png?x-oss-process=image/resize,w_560)
![9-0 P(X > 1) = 1 _ {0C * 0.400 * 0.60 }](//img.homeworklib.com/questions/646c9a80-c8fb-11eb-bc94-756a0005f9d4.png?x-oss-process=image/resize,w_560)
![P(X > 1) = 1 _ { 1 * 1 * 0.609}](//img.homeworklib.com/questions/64fb6e40-c8fb-11eb-bb0f-b3bd978519e4.png?x-oss-process=image/resize,w_560)
![P(X 2 1)1 10.0101)](//img.homeworklib.com/questions/656ec6a0-c8fb-11eb-94df-c7f16e595eeb.png?x-oss-process=image/resize,w_560)
![P(X > 1) = 0.9899](//img.homeworklib.com/questions/65d01890-c8fb-11eb-80a1-e5f91d75c796.png?x-oss-process=image/resize,w_560)
SOLUTION
We were unable to transcribe this image
sum of probability is equal to l
27 27 9
27 27 927
We were unable to transcribe this image
formula : X ~ binomial(n,p)
7l where, C = r!n -r)!
- 0.25, n-4, q 1 - p-0.75 23.givenD
P(more than one) = P(X > 1)
P(X 1) 1- P(X <1)
We were unable to transcribe this image
P(X > 1) 1-IGC * 0.250 * 0.754-0) + (1C * 0.251 * 0.754-1 )
P(X > 1) = 1-{(1 * 1 * 0.754) + (4 * 0.25 * 0.753) }
PX>1)1-0.7383
P(X > 1) 0.2617
P(X 1) 0.26
24. given : p = 0.70. n = 15, q = 1-p 0.30
15 -ฯ P(X = 11) =15 C * 07011 * 0.30 15-11
15! P(X 11) 0.70110.304 1115 11)!
P(X 11) 1365 * 0.701 * 0.304
P(X-11) 0.2186
P(X-11) 0.2186
P(X = 11) 0.22
25. given p- 0.40, n-9, q-1-p-0.60
Plat least one) = P(X > 1)
We were unable to transcribe this image
9-0 P(X > 1) = 1 _ {0C * 0.400 * 0.60 }
P(X > 1) = 1 _ { 1 * 1 * 0.609}
P(X 2 1)1 10.0101)
P(X > 1) = 0.9899