Question

A spinner is divided into six equal-sized sectors labeled 1 through 6. Dwayne spins this spinner 12 times. Let X

Answer 1

Answer:

b) μ = 2 and σ = 1.29

Step-by-step explanation:

Step(i):-

Given that the A spinner is divided into six equal-sized sectors labelled 1 through 6

Given that the probability of labelled '1'

                      $p = \frac{1}{6}$ =0.16

                     q = 1-p =  1- 0.16 = 0.84

Let 'X' be a random variable in binomial distribution

The mean of the binomial distribution

      μ = n p

     μ  =  $12 (\frac{1}{6} ) = 2$  

The mean of the binomial distribution  = 2

Step(ii):-

The standard deviation of X

                σ $= \sqrt{npq}$

               σ = $\sqrt{12(0.16)(0.84}$

                  σ = $1.269$

The standard deviation of the binomial distribution

                σ = $1.269$

Answer 2

Answer:

b

Step-by-step explanation: