MAT 122 Statistics

MAT 122 Statistics
Values that cannot be probabilities: -0.44, 1.45, sqrt2, 5/3 - ANS-Which of the following values
cannot be​probabilities?
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 of​0, 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 this​year?
Yes

Is the probability high enough to be of concern to those in the 20−24 age​bracket?
No - ANS-Among 500 randomly selected drivers in the 20−24 age​bracket, 14 were in a car
crash in the last year. If a driver in that age bracket is randomly​selected, what is the
approximate probability that he or she will be in a car crash during the next​year? Is it unlikely
for a driver in that age bracket to be involved in a car crash during a​year? Is the resulting value
high enough to be of concern to those in the 20−24 age​bracket? 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 middle​seat?
​Yes, because the probability that a passenger prefers the middle seat is less than 0.05.

If​so, why is the middle seat so​unpopular?
The middle seat lacks an outside​view, easy access to the​aisle, 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 a​plane, 485 chose the window​seat, 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 middle​seat? If​so, why is the middle seat so​
unpopular?

a. What is the probability of exactly 2 girls out of three​children?
3/8

b. What is the probability of exactly 3 girls out of three​children?
1/8

c. What is the probability of exactly 1 boy out of three​children?
3/8 - ANS-To the right are the outcomes that are possible when a couple has three children.
Refer to that​list, and find the probability of each event.
a. Among three​children, there are exactly 22 girls.
b. Among three​children, there are exactly 33 girls.
c. Among three​children, 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 is​0, another is​00, 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 nor​even.)

B. - ANS-Which of the following is NOT a principle of​probability?
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.