Question

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

represent the number of 1s that are spun. What are the mean and standard deviation of X?

O Wx = 1, 0x = 1.29

O x = 2,04 = 1.29

OH, = 2,0x = 1.67

O Mx = 10,0x = 2.78

Answer 1

b

Explanation:

Answer 2

b) μ = 2 and σ = 1.29

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 = (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 ((1)/(6) ) = 2`

The mean of the binomial distribution = 2

Step(ii):-

The standard deviation of X

σ
`= √(npq)`

σ =
`√(12(0.16)(0.84)`

σ =
`1.269`

The standard deviation of the binomial distribution

σ =
`1.269`