A Randstad/Harris interactive survey reported that 25% of employees said their company is loyal to them. Suppose 9 employees are selected randomly and will be interviewed about company loyalty.

A. What is the probability that none of the 9 employees will say their company is loyal to them?

c. What is the probability that 4 of the 9 employees will say their company is loyal to them?

(A) 0.999996

(B) 0.11680

Step-by-step explanation:

We are given that a Randstad Harris interactive survey reported that 25% of employees said their company is loyal to them.

And 9 employees are selected randomly and interviewed about company loyalty.

The Binomial probability distribution is given by;

where, n = number of trials (samples) taken

             r = number of success

             p = probability of success

In our question; n = 9 , p = 0.25 (as employees saying their company is loyal to them is success to us)

(A) Probability that none of the 9 employees will say their company is loyal to them = 1 - Probability that all 9 employees will say their company is loyal to them

= 1 - P(X = 9)  { As here number of success is 9 }

= 1 - = 1 - = 0.999996

(B) Probability that 4 of the 9 employees will say their company is loyal to them = P(X = 4)

    P(X = 4) =

                  = = 0.11680

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages

credit scoring calculations, such as the fico score, look at a few key factors related to your debt. the amount of overall debt you carry, the ratio of your credit card balances to your credit limit (also called credit utilization), and the relation of your loan balances to the original loan amount.