SOLUTION: Find the errors in each of the following statements: (a) The probabilities that an automobile salesperson will sell 0, 1, 2, or 3 cars on any given day in February are, respecti

Algebra ->  Probability-and-statistics -> SOLUTION: Find the errors in each of the following statements: (a) The probabilities that an automobile salesperson will sell 0, 1, 2, or 3 cars on any given day in February are, respecti      Log On


   



Question 964912: Find the errors in each of the following statements:
(a) The probabilities that an automobile salesperson
will sell 0, 1, 2, or 3 cars on any given day in February
are, respectively, 0.19, 0.38, 0.29, and 0.15.
(b) The probability that it will rain tomorrow is 0.40,
and the probability that it will not rain tomorrow
is 0.52.
(c) The probabilities that a printer will make 0, 1, 2,
3, or 4 or more mistakes in setting a document are,
respectively, 0.19, 0.34,−0.25, 0.43, and 0.29.
(d) On a single draw from a deck of playing cards, the
probability of selecting a heart is 1/4, the probability
of selecting a black card is 1/2, and the probability
of selecting both a heart and a black card is
1/8.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a) Assuming this is the entire sample space, the probabilities don't sum to 1, which they must.
0.19%2B0.38%2B0.29%2B0.15=1.01
.
.
b) Rain and not rain are the only two possibilities. Their probabilities must sum to 1.
0.40%2B0.52=0.92
.
.
c) Negative probabilities are not allowed.
.
.
d) Hearts are red. So the possibility of drawing a heart and black card must be zero, assuming a standard deck.