erichenkell2700
11.01.2021 •
Mathematics
Imagine selecting a US high school student at random. Define the random variable X = number of languages spoken by the randomly selected student. The table below gives the probability distribution of X, based on a sample of students from the US Census at School database.
What is the expected average number of languages a student knows?
Find and interpret the standard deviation for the data.
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Ответ:
Expected value = 1.457
Standard deviation = 0.671
Step-by-step explanation:
Given the data:
Language (X) : 1 2 3 4 5
P(X) 0.630 _ 0.295 _0.065_0.008_0.002
Expected value :
ΣX*P(x) = (1*0.630)+(2*0.295)+(3*0.065)+(4*0.008)+(5*0.002)
= 1.457
Standard deviation : sqrt(Var(x))
Var(X) = Σx^2p(x) - E(x)
Var(X) = (1^2*0.630)+(2^2*0.295)+(3^2*0.065)+(4^2*0.008)+(5^2*0.002) - 1.457^2
= 2.573 - 1.457^2
= 0.450151
Standard deviation = sqrt(0.450151) = 0.6709329
= 0.671
Ответ:
$3.74
Step-by-step explanation:
$44.88 = 12g
[divide both sides by 12}
$3.74 = g