Question

A spinner has five equal sections that are numbered 1 through 5.

Answer 1

Answer with explanation:

Total number of sections in the spinner = 1 to 5=5 in all

For, a Distribution to be a Binomial Distribution,

Number of trials  should be fixed.

All trials should be Independent of one another.

Only two outcomes  are Possible one is called Success and Other is failure.

Probability of each Outcome should remain constant irrespective of number of trials.

Probability of getting either of 1,2,3,4,or 5 when the spinner is spun once

    $=\frac{1}{5}$

Option C

When the spinner is spun four times, X is the number of times the spinner does not land on an odd number.

Probability of Failure ={1,3,5}=Getting odd number on spinner

          $=\frac{3}{5}$

Probability of Success={2,4}=Getting even number on spinner

       $=\frac{2}{5}$

Number of trials is fixed and each trial is independent of another.

Option D

Total Number of Trials= 5

Probability of Success = When the Spinner is spun and it Lands on 1

Probability of Failure = When the Spinner is spun and it does not Land on 1

When the Spinner is spun five times ,Probability of each Outcome,that is either of 1,2,3,4,or 5 is constant which is $\frac{1}{5}$

⇒⇒When the spinner is spun five times, X is the number of times the spinner lands on 1.

→≡Option C and D

Answer 2

Answer:

Step-by-step explanation:

X has a binomial distribution when the probability of X is the same for each spin.

When the spinner is spun four times, X is the number of times the spinner does not land on an odd number.

When the spinner is spun five times, X is the number of times the spinner lands on 1.