Assume that, for a randomly chosen person,their next birthday is equally likely to occur on any day of the week,independently of any other person's birthday.Find the probability that,out of 350 randomly chosen people,at least 47 will have their next birthday on a monday.

Question

anonymous · Answer

It's a binomial distribution.

anonymous · Answer

The probability of success (birthday on Monday) is $\frac 17$.

anonymous · Answer

The total number of trials is $350$.

anonymous · Answer

You could approximate it with a normal distribution.  I feel that is what they want you to do here.

anonymous · Answer

5 mrks 

Anyoen could work it out for me :O

I'll been with it for minutes -_-

anonymous · Answer

The mean would be $\mu =np= 350\times \frac 17$ and the standard deviation would be $\sigma =\sqrt{np(1-p)}=\sqrt{350\times \frac 17\times \frac 67}$.

anonymous · Answer

The $z$ score would be $$
\frac {x-\mu}{\sigma }$$

anonymous · Answer

In this case $x=47$