Eighty-two percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 7 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual

0,1, 2 and 3 employees judging their co-workers by cleanliness would be considered unusual.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

The standard deviation of the binomial distribution is:

An outcome is considered unusual if it is more than 2.5 standard deviations from the mean.

Eighty-two percent of employees make judgements about their co-workers based on the cleanliness of their desk.

This means that

You randomly select 7 employees and ask them if they judge co-workers based on this criterion.

This means that

Mean:

Standard deviation:

Two and a half standard deviations above the mean:

Will be higher than 7, so no possible values.

Two and a half standard deviations below the mean:

So 0,1, 2 and 3 employees judging their co-workers by cleanliness would be considered unusual.

answer: 1, 3 and 5 are correct

step-by-step explanation: