Question

I was wondering if you could help me better understand this Statistic problem about a spinner? I feel as though I am not setting the problem up right. Would I use binomial distribution?
Here is the problem: A spinner is spun 16 times. (picture a spinner with four parts numbered 1, 2, 3 & 4)
(a) What is the probability of spinning fewer than four three's?
(b) What is the mean of the distribution?
(c) what is the standard deviation?
(d) What is the probability of spinning seven three's instead of four?
(e) What is the probability of spinning exactly four three's?

I greatly appreciate your help.

Answer 1

All the questions are asking on the probability of spinning three's so yes you can assume a binomial distribution here with probability of getting 3 treated as the success with p=1/4 and not getting 3 as q=3/4 assuming at each spin the chance of getting any number marked remains 1/4.

Attaching work below.

Once we view as the binomial it is pretty easy as you can see.

Hope you understood.