Exam (elaborations)
MAT 122 Statistics
- Course
- MATH 2024\\2025
- Institution
- MATH 2024\\2025
Exam of 10 pages for the course MATH at MATH (MAT 122 Statistics)
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MAT 122 StatisticsValues that cannot be probabilities: -0.44, 1.45, sqrt2, 5/3 - ANS-Which of the following values
cannot beprobabilities?
0.03, -0.44, 5/3, 0, sqrt2, 1.54, 3/5, 1
P(A)=(number of ways A can occur)/(number of different simple events)=s/n
50-12=38
(38)/(50)=0.76
The probability is: 0.76 - ANS-Twelve of the 50 digital video recorders(DVRs) in an inventory
are known to be defective. What is the probability you randomly select an item that is not
defective?
If an event cannot occur then it has a probability of0, and if it is certain to occur then it has a
probability of 1.
The probability is: 1 - ANS-You are certain to get a number or a face card when selecting cards
from a shuffled deck. Express the indicated degree of likelihood as a probability value between
0 and 1 inclusive.
P(A)=(number of times A occurred)/(number of times the trial was repeated)
14/500=0.028
Would it be unlikely for a driver in that age bracket to be involved in a car crash thisyear?
Yes
Is the probability high enough to be of concern to those in the 20−24 agebracket?
No - ANS-Among 500 randomly selected drivers in the 20−24 agebracket, 14 were in a car
crash in the last year. If a driver in that age bracket is randomlyselected, what is the
approximate probability that he or she will be in a car crash during the nextyear? Is it unlikely
for a driver in that age bracket to be involved in a car crash during ayear? Is the resulting value
high enough to be of concern to those in the 20−24 agebracket? Consider an event to be
"unlikely" if its probability is less than or equal to 0.05.
The probability that a passenger prefers the middle seat is: 0.009.
Is it unlikely for a passenger to prefer the middleseat?
Yes, because the probability that a passenger prefers the middle seat is less than 0.05.
Ifso, why is the middle seat sounpopular?
The middle seat lacks an outsideview, easy access to theaisle, and a passenger in the middle
seat has passengers on both sides instead of on one side only. - ANS-Among respondents
asked which is their favorite seat on aplane, 485 chose the windowseat, 77 chose the middle
, seat, and 310 chose the aisle seat. What is the probability that a passenger prefers the middle
seat? Is it unlikely for a passenger to prefer the middleseat? Ifso, why is the middle seat so
unpopular?
a. What is the probability of exactly 2 girls out of threechildren?
3/8
b. What is the probability of exactly 3 girls out of threechildren?
1/8
c. What is the probability of exactly 1 boy out of threechildren?
3/8 - ANS-To the right are the outcomes that are possible when a couple has three children.
Refer to thatlist, and find the probability of each event.
a. Among threechildren, there are exactly 22 girls.
b. Among threechildren, there are exactly 33 girls.
c. Among threechildren, there is exactly 11 boy.
Groups:
(boy-boy-boy),(boy,boy,birl),(boy-girl-boy),(boy-girl-girl),(girl-boy-boy),(girl-boy-girl),(girl-boy-girl),
(girl-girl-girl)
a. P(odd)=40-2=38/2=19
=19/40
b.P(not odd) = 40-19=21
=21/40
21:19
c. 1:1 = $14
d. 21:19
(a*c)/b
(21*14)/19
=15.47 - ANS-A modified roulette wheel has 40 slots. One slot is0, another is00, and the
others are numbered 1 through 38, respectively. You are placing a bet that the outcome is an
odd number.(In roulette, 0 and 00 are neither odd noreven.)
B. - ANS-Which of the following is NOT a principle ofprobability?
Choose the correct answer below.
A.
All events are equally likely in any probability procedure.
B.
The probability of any event is between 0 and 1 inclusive.
C.
The probability of an event that is certain to occur is 1.
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