SOLUTION: find the error in each of the ff. statements a) the probability of that a car salesperson will sell 0, 1, 2, or 3 cars on any given day in February are 0.19, 0.38, 0.29, and 0.15

Algebra ->  Probability-and-statistics -> SOLUTION: find the error in each of the ff. statements a) the probability of that a car salesperson will sell 0, 1, 2, or 3 cars on any given day in February are 0.19, 0.38, 0.29, and 0.15      Log On


   



Question 1078060: find the error in each of the ff. statements
a) the probability of that a car salesperson will sell 0, 1, 2, or 3 cars on any given day in February are 0.19, 0.38, 0.29, and 0.15 respectively
b) the probability that a business will go bankrupt is 0.24 and the probability that it will not is 0.77.
c) the probabilities that a certain machine will produce 0, 1, 2, 3, 4, or 5 defective items during a given hour is 0.12, 0.09, 0.31, 0.24, 0.24, respectively.
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 black card is 1/8

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a) Assuming no other number of cars will be sold, the probabilities need to sum to 1. Here they sum to 1.01.
b) Again they sum to 1.01.
c) Six number of items given but only 5 probabilities.
d) P%28Heart%29=1%2F4
P%28Black%29=1%2F2
P%28Heart_or_Black%29=P%28Heart%29%2BP%28Black%29-P%28Heart_and_Black%29
but
P%28Heart_or_Black%29=P%28Heart%29%2BP%28Black%29
So,
P%28Heart_and_Black%29=0