A new private space company called Space Futurama is testing out new rockets. Ea

Question

A new private space company called Space Futurama is testing out new rockets. Each new rocket has probability .75 of taking off successfully (independent across different rockets). Find the probability that in the next 10 attempts, at least 7 (greaterthanorequalto 7) rockets take of successfully. (b) Let X be the number of rockets that take off successfully in the next 10 rockets. Find E(X) (just give the answer, no need to show work). (c) Find V ar(X) (just give the answer, no need to show work).

Explanation / Answer

This is binomial distribution with p=0.75 and x=10

a. P(x)=ncxp^x(1-p)^n-x

P(x>=7)=0.7759

b. E(x)=np= 7.759

c. V(x)=npq=1.7388

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