How many times will the digit '3' appear if we write all whole numbers from 1 to 99?

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

8 0

Answer:

20 times

Step-by-step explanation:

Here is a chart:

3,13,23,30,31,32,33,34,35,36,37,38,39,43,53,63,73,83,93.

It appears 20 times. Hope this helps!

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1. Binomial distribution: Let the sampling distribution be the binomial distribution $B(n,p)$ , where $n$ is the number of trials and $p$ is the probability of success. It can be approximated by the Normal distribution with the mean of $np$ and the variance of $np(1-p)$ , denoted by $N(np,np(1-p))$ if the following condition is met:

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2. Poisson distribution: Let the sampling distribution be the Poisson distribution $P(\lambda)$ where $\lambda$ is its mean. It can be approximated by the Normal distribution with the mean $\lambda$ and the variance $\lambda$ , denoted by $N(\lambda,\lambda)$ when $\lambda$ is large enough, say $\lambda>1000$ (however, different sources may give different lower value for $\lambda$ but the greater it is, the better the approximation).