Question

7. Solar-heat installations successfully reduce the utility bill 60% of the time. What is the probability that at least 9 out of 10 solar-heat installations are successful and will reduce the utility bill? a. 0.0464
b. 0.9432
c. 0.0403
d. 0.8429

Answer 1

@math&ing001

Answer 2

@freckles

Answer 3

@dan815

Answer 4

@campbell_st

Answer 5

So its a binomial probability question

so

\[P(9 ~out~ of ~10~ Successes) = \left(\begin{matrix}10 \\ 9\end{matrix}\right)(p)^9(q)^{10-9}\]

p is the probability of success

q is the probability of failure

hope it helps

Answer 6

q = 1 - p right? I should have known this was a binomial distribution.

Answer 7

I am doing the work hold on

Answer 8

that's correct

p = 0.6 q = 0.4

Answer 9

I get 0.09473 I don't think that is right