To the righM are five of the top officials in a region\'s government. a. List th
ID: 3046064 • Letter: T
Question
To the righM are five of the top officials in a region's government. a. List the possible samples without replacement of size 4 that can be obtained from the population of five officials. (Hint: There are 5 possible samples.) If a simple random sample without replacement of four officials is taken from the five officials, determine the probability the following officials are in the sample. b. The secretary of state, secretary of defense, and treasurer e. The secretary of state and treasurer d. The secretary of state Secretary of State (S) Govemor (G) Attormey General (A) Secretary of Defense (D) Treasurer (T a. List the possible samples without replacement of size 4 that can be obtained from the population of five officials. Choose the correct answer below A SGAD, GADT, ADTT, DTTT, TTTT B. SSSS, GGGG, AAAA, DODD, TTTT C. SGAD, SGAT, SGDT, SADT, GADT D. SGAD, GSOA, AGSD, DAGS, TOAG sample is b. The probability hat the secretary of state, secretary of defense, and treasurer Type an inbeger or a simplfied fraction in G. The probability that the secretary of state and treasurer are in the sample is Type an inbeger or a simplfied fraction d. The probablity that the secretary of state is in the sample is (Type an integer or a simplifed fraction)Explanation / Answer
a) Correct option is C
There are 5 such combinations are possible
b)
S, D and T should be there in the sample
Remaining 1 can be selected in 2 ways
Hence there are 2 such possible combinations
Required probability = 2/5 = 0.4
c)
S and T should be there in the sample
remaining 2 from the 3 can be selected in 3C2 = 3 ways
Hence there are 3 such possible combinations
Required probability = 3/5 = 0.6
d)
S has to be there in the sample
remaining 3 can from 4 can be selected in 4C3 = 4 ways
Hence tehre are 4 such possible combinations
Required probability = 4/5 = 0.8
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