Fifty-three percent of employees make judgements about their co-workers based on the cleanliness of their desk. you randomly select 8 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?

No employees or 8 employees judging co-workers based on the cleanliness of their desk would be considered unusual outcomes.

Step-by-step explanation:

Binomial probability distribution

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

The expected value of the binomial distribution is:

The standard deviation of the binomial distribution is:

Outcomes are unusual when they are more than 2.5 standard deviations of the mean.

In this problem, we have that:

So

No employees or 8 employees judging co-workers based on the cleanliness of their desk would be considered unusual outcomes.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

the answer is 15% decrease