https://www.mathodl.com/st Math 152 IN Statistics I (Summer 2018) Lorl Somers&1
ID: 3369589 • Letter: H
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https://www.mathodl.com/st Math 152 IN Statistics I (Summer 2018) Lorl Somers&1 623/18 8.50 PM Homework: Section 4.2 Homework Score: 0 of 1 pt X) Save 13 of 13 (12 complete) Hw Score: 54.62%, 7.1 of 13pts 4.2.33 According to a theory in genetios, E tall and colorul plants are crossed with short and colorless plants, four types of short and colorful, and short and coloriess, with conresponding probability that 4 will be tall and colorfhd, 2 will be tall and colariess, 2 will be short and colortid, and 2 will bo short and calorles E Question Help plants will nesult tall and colorful, tail and ookorless, 16 16 16 and 6 a multinomial esperiment,& 10 plants are solected, find the 16 16 16 Click the icon to view more information about a multinomial experiment The probability is Round to three decimal pleces as needed.) nter your answer in the answer box and then click Check Answer l narts showina Cloar All Check A 3 MacBook AirExplanation / Answer
Solution :-
Given that the probabilities of four types of plants are 5/16,4/16,1/16,6/16 are represented as A,B,C,D
=> the "probability vector" for each plant is (5/16)*A + (4/16)*B + (1/16)*C + (6/16)*D
=> 0.313A + 0.25B + 0.063C + 0.375D
=> The probability of selecting 10 plants and getting 4 of A, 2 each of B, C and D
=> The required probability is (10!/4!2!2!2!)*(0.313^4)*(0.25^2)*(0.063^2)*(0.375^2)
=> (3628800/24*2*2*2)*(0.313^4)*(0.25^2)*(0.063^2)*(0.375^2)
=> 0.405
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