Question

A spinner has two colored regions — purple and orange — and is divided in such a way so that the probability that the spinner lands on purple is 0.9. Suppose we spin the spinner 12 times and let X = the number of times it lands in the purple region.
Calculate the mean and standard deviation of X. Round to 4 decimal places, when necessary.

μx =

σx =

Answer 1

Answer:

The answer is "32 and 4.6648".

Step-by-step explanation:

binomial distribution of x

probability of sucess$(P)=32\%=0.32$

randomly selected number by giraffes $n=100$

now

$\mu_x=np$

    $=(100)(0.32)\\\\=32$

$\Sigma_x=\sqrt{np(1-p)}$

     $=\sqrt{100(0.32)(1-0.32)}\\\\=\sqrt{21.76}\\\\= 4.664761\\\\=4.6648$