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

Mathematics

2 answers:

slavikrds [6]3 years ago

6 0

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 = $1.269$

Varvara68 [4.7K]3 years ago

5 0

Answer:

Step-by-step explanation:

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kifflom [539]

First we need to write the equations for the given scenario. Using the equations, we can form a system of matrix for the situation.

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