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 =

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!

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3