a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. The
probability is . (Round to three decimal places as needed.) b. Find the probability of randomly selecting a student who kept the money, given that the student was given four quarters. The probability is . (Round to three decimal places as needed.) c. What do the preceding results suggest?
1 answer:
Answer:
Hello your questions is incomplete attached below is the missing part of the question
answer : A ) 0.647 , (B) 0.353, (C) students are more likely to spend the money than to have kept it
Step-by-step explanation:
from the attached table below
Given data :
Total number of students = Number of students who spent money + number of students who kept money
Total number of students = (33+13 ) + (18 + 27 ) = 91
p(Number of students given four quarters) = (33 +18 ) / 91 = 51/91
p( number of students who spent money ) = ( 33 +13 ) / 91 = 46/91
p( number of students who saved money ) = (18 +27 ) / 91 = 45 /91
p( number of students who spent money and given four quarters ) = 33/91
p( number of students who saved money and given four quarters ) = 18/91
A) The probability of randomly selecting a student who spent the money and also given four quarters
= p ( 33/91 | 51/91 )
= 33/91 * 91/51
= 33/51 = 0.647
B ) The probability of randomly selecting a student who kept the money and given that the student was given four quarters
= p ( 18/91 | 51/91 )
= 18/91 * 91/51
= 18 /51 = 0.353
C) students are more likely to spend the money than to have kept it
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Answer:
The correct answer is .
Step-by-step explanation:
There are 135 people in a sport centre.
Let the experiment be to pick a person from the sport centre who only uses exactly one of the facilities.
Total number of possible outcomes = 135
For the gym:
77 people use the gym.
27 people use the gym and the pool.
31 people use the gym and the track.
4 people use all three facilities.
Total number of people using only the gym are 77 - ( 27 + 31 + 4) = 15
For the swimming pool:
62 people use the swimming pool.
27 people use the gym and the pool.
23 people use the pool and the track.
4 people use all three facilities.
Total number of people using only the swimming pool are 62 - ( 27 + 23 + 4) = 8
For the tracks:
65 people use the track.
23 people use the pool and the track.
31 people use the gym and the track.
4 people use all three facilities.
Total number of people using only the tracks are 65 - ( 23 + 31 + 4) = 7
A person is selected at random.
Favorable outcomes = 7 + 8 + 15 = 30
Probability that the person uses exactly one of the facilities = =
.