Sample Statistics Test #2
(total points: 18)
1) A card is drawn from a deck of 52 playing cards. Find the probability that the card is a four or a spade.
2) Two cards are drawn from a deck of playing cards without replacement. Find the probability that the
first card is a four and the second card is a four. What’s the probability with replacement?
3) 6% of all items sold by a mail order company are returned for a refund.
If two items are randomly selected from various orders, what’s the probability the
a) none will be returned
b) one will be returned
c) at least one will be returned
4) A loaded, unfair, six-sided die is tossed and the probabilities are listed below.
P(1) = .3 P(2) = .1 P(3) = .2 P(4) = .1
P(5) =.1
P(6)= .2
a) Construct a probability histogram from this information. (2 pt)
b) Find the probability of rolling an odd number. (2 pt)
c) find the expected value. (2 pt.)
d) Rolling twice, find the probability of getting a 3 and then a 2. (2 pt)
5) The probability of a USA student going to jail is 0.08 ( I made this up). Out of 30 students, find the
probabilities for a, b and c below. Do the setup first.
In this situation find (1 pt ea.)
n= _________________________________
p= ____________
S = _________________________________
q = ___________
F= ____________
X16 = _____________
P(F) = __________

P(S) = ______________
 = _____________
a) No one going to jail. (2 pt)
b) At least three going to jail? (2 pt)
c) Would it be unusual for exactly 6 to go to jail? Prove it! (4 pt)
6) TV sets last for an average of 8.2 years with a standard deviation of 1.1 years. Find the probability a)
that your TV will last less than 9 years b) more than 10 years c) less than 6 years d) between 7 and 8.5
years.
7) 88% of all TVs last less than how many years? (this is P 88)