Cecile is a nurse and has a 0,25 of working a night shift. In the latest time period there have been 10 cases of death at night time by the nursing home,and a remarkably large number of these have happened while Cecilie has been on duty. 7 of the cases of death have been on her duty. Therefore, an investigation has been started to find out if she has anything to do with these deaths.
Assume in the following that all the deaths are natural and that they have happened at
Let X be a stochastic variable that describes the number out of n = 10 natural deaths that
happen on Cecilie's night shifts.
What is the probability of 7 or more deaths, out of the 10 deaths at night time, happening while Cecilie is on duty?
The right answer should be: 0,004
I am not sure how to calculate this, I tried finding the chance of 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 deaths happening while she is on duty, but I am not sure how to find the chance of it being 7 or more.
I would really appreciate any feedback, thank you!