1.) Topic: Choosing ping-pong balls without replacement.

In this problem, the ping-pong balls are selectedWITHOUT REPLACEMENT

There are 5 white and 3 orange ping-pong balls in a brown paper bag. Two balls are randomly chosen.

ENTER YOUR ANSWERS AS FRACTIONS!(like 1/2 or 2/3)

It will accept decimals, but be sure to have at least 3 decimal places

(The "Preview" simply displays your answer in nice mathematical text.

It does not mean that your answer is either right or wrong.)

a) How many total balls are in the bag?_________

b) What is the probability that the 1st ball is orange?

Answer as P(1st = orange) =__________

c) What is the probability that the 2nd ball is also orange, given that the 1st ball was orange?

Answer as P(2nd = orange | 1st = orange) =____________

d) What is the probability that both the 1st and the 2nd balls are orange?_____________

2.) 8 sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can the gold, silver, and bronze medals be awarded?

3.) Binomial distribution calculation

If n=9 and p=0.2, find P(x=4)

Give at least 4 decimal places.

4.) Find the area of the shaded region under the standard normal distribution to the left of the given z-score.

(mean=0, standard deviation=1). The chart is shaded at the left side with numbers bein negative 0,-1,-2,-3,-4. In the middle of the chart which is zero is z=-0.11 Round your answer to four decimal places.

Answer as P(z<-0.11)=_________

5.) A population of values has a normal distribution with=185.2and =24.9 You intend to draw a random sample of sizen=161 Please show your answers as numbers accurate to 4 decimal places.

A.) Find the probability that asinglerandomly selected value is greater than 186.2.

Answer as P(x> 186.2) =_________

B.) Find the probability that asampleof sizen=161is randomly selected with a mean greater than 186.2.

Answer as P(x> 186.2) =__________