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shayshayyy41
23.11.2019 •
Mathematics
Consider a binomial experiment with n = 10 and p = 0.10. (a) compute f(0). if required, round your answer to four decimal places. (b) compute f(2). if required, round your answer to four decimal places. (c) compute p(x ≤ 2). if required, round your answer to four decimal places. (d) compute p(x ≥ 1). if required, round your answer to four decimal places. (e) compute e(x). (f) compute var(x) and σ. if required, round var(x) answer to one decimal place and σ answer to four decimal places. var(x) = σ =
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Ответ:
Step-by-step explanation:
Hello!
You have X~Bi (n;ρ)
Where:
n=10
ρ= 0.10
For all asked probabilities you need to use a Binomial distribution table. Remember this table has the information of the cummulative probabilities P(X≤x).
a. f(0) ⇒ P(X=0) = 0.3487
b. f(2) ⇒ P(X=2) ⇒ P(X≤2) - P(X≤1) = 0.9298 - 0.7361 = 0.1937
c. P(X≤2) = 0.9298
d. P(X ≥ 1) = 1 - P(X ≤ 1) = 1 - 0.7361 = 0.2639
e. E(X)= nρ = 10*0.10 = 1
f. V(X)= nρ(1-ρ) = 10*0.1*0.9 = 0.9
σ= √V(X) = √0.9 = 0.9487
I hope it helps!
Ответ:
The answer is -4
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequlity form: x > -4
Interval Notation : (-4, infinity)
Hoped this helped!