A recent survey shows that 10% of households in San Bernardino county installed security system at home in 2022 . You randomly selected 6 households in San Bernardino county and asked whether they had installed security system at home in 2022. (1) How many outcomes are there in the sample space? Consider one outcome could be Yes No No No No No, i.e. the first household responded Yes, installed security system in 2022 and all the other five responded No. a) 64 b) 6 c) 12 d) 32 Let X denote the number of household(s) that installed security system in 2022 among the 6 households you sampled. (2) How many possible values are there that for X? a) 7 b) 6 c) 2 d) 0 (3) What's the probability that X = 1? a) 0.354 b) 0.06 c) 0.000009 d) 0.6 (4) What is the expected value of X? a) 0.6 b) 0.1 c) 0.09 d) 3 (5) What is the variance of X? a) 0.54 b) 0.09 c) 0.1224 d) 0.015
A recent survey shows that 10% of households in San Bernardino county installed security system at home in 2022 . You randomly selected 6 households in San Bernardino county and asked whether they had installed security system at home in 2022.
(1) How many outcomes are there in the
Consider one outcome could be Yes No No No No No,
i.e. the first household responded Yes, installed security system in 2022 and all the other five responded No.
a) 64
b) 6
c) 12
d) 32
Let X denote the number of household(s) that installed security system in 2022 among the 6 households you sampled.
(2) How many possible values are there that for X?
a) 7
b) 6
c) 2
d) 0
(3) What's the probability that X = 1?
a) 0.354
b) 0.06
c) 0.000009
d) 0.6
(4) What is the expected value of X?
a) 0.6
b) 0.1
c) 0.09
d) 3
(5) What is the variance of X?
a) 0.54
b) 0.09
c) 0.1224
d) 0.015
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