1) The number of refrigerators sold per day at a local appliance store given in
ID: 2957970 • Letter: 1
Question
1) The number of refrigerators sold per day at a local appliance store given in the probability distribution below.
{# of refrigerators sold X}-- 0 -- 1 -- 2 -- 3 -- 4 --
________________________.___.___.___.___._______
{Probability P(X) -0.1 0.2 ? 0.2 0.2
a) What value should replace "?" in the table above?
2. Draw the picture for the following by defining the events and sample space:
Police report that 78% of drivers on a suspicion drunk driving stop are given a breath test, 36% a blood test and 22% both tests.
3. Traffic checks on main st in chicago suggest that 60% of drivers are speeding there. Since 0.6 x 0.6 = .36, the Multiplication Rule might suggest that there is a 36% chance that two vechicles in a row are both speeding. What's wrong with this reasoning?
4. Response - Number
_______________________________
Increase production - 342
_______________________________
Protect Environment - 583
_______________________________
Equally Important - 30
_______________________________
No Opinion - 50
_______________________________
Total - 1005
a) What is the probability that all three respond "Protect the Environment?"
b) What is the probability that none respond "Equally Important?"
5. The Masterfoods company says that before the introduction of purple, yellow candies made up 20% of their plain M&M's, red another 20%, and orange, blue, and green each made up 10%. The rest were brown.
a) If you pick three M&M's in a row, what is the probability that
- They are all brown?
- The third one is the first one that is red?
- None are yellow?
- At least one is green?
Explanation / Answer
1. a) 0.3 2. Draw two overlapping circles. Label the overlap 0.22, the other part of the first circle 0.56, the other part of the second circle 0.14 and the region outside both circles 0.08 3. two cars with one behind the other aren't independent 4. (583/1005)(582/1004)(581/1003) = 0.195 5. all brown: 0.30*0.30*0.30 = 0.027 third one first red: 0.80*0.80*0.20 = 0.128 none yellow: 0.80*0.80*0.80 = 0.512 at least one green: 1-0.90*0.90*0.90 = 0.271
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