In a poll conducted by a survey firm, 82% of respondents said that their jobs were sometimes or always stressful. Eleven workers are chosen at random for the Binomial experiment. What is the probability that more than 9 of them find their jobs stressful

And we can find the individual probabilities with the mas function adn we got:

And replacing we got:

Step-by-step explanation:

Let X the random variable of interest "number of workers who find their jobs stressful", on this case we now that:  

The probability mass function for the Binomial distribution is given as:  

Where (nCx) means combinatory and it's given by this formula:  

We want to find the following probability:

And we can find the individual probabilities with the mas function adn we got:

And replacing we got: