An experiment consists of rolling a fair die 100 times.

Question

If this experiment is repeated, what is the sampling distribution of the proportion of the 100 tosses that land with one spot in the top face?

the P(getting a 1) = 1/6

how do I find the proportion value if idk how many times of getting a 1? do I understand this question correctly?

The proportion is the actual number of $1$s received divided by $100$. You are asked to assess the probability of each proportion. The ones that will be highest will be $0.16$ and $0.17$ — Ross Millikan, Dec 27 '20 at 16:33

score 2 · Accepted Answer · answered Dec 27 '20 at 16:22

2

It's a binomial

$$P(X=x/100)=\binom{100}{x}\Big(\frac{1}{6}\Big)^{x}\Big(\frac{5}{6}\Big)^{100-x}$$

$x=0,1,2...,100$

answered Dec 27 '20 at 16:22

tommik

1 Answers1