Solution :
It is given that :
Number of students in a random sample majoring in communication or psychology at an university = 250
Total number of students majoring in psychology = 100
Number of students majoring in psychology those who are happy = 80
So number of students majoring in psychology those who are not happy = 20
Total number of students majoring in communication = 250 - 100 = 150
Number of students majoring in communication those who are happy = 115
So number of students majoring in psychology those who are not happy = 35
a). Probability of the students happy with their major choices are
= 0.78
b). Psychology major 
= 0.4
c). Probability of the students who are happy with the communication as the choice of major = 
= 0.46
d). Students unhappy with their choice of major given that the student is psychology major = 
= 0.018
Answer:
The probability is 0.003
Step-by-step explanation:
We know that the average 
is:
The standard deviation 
is:
The Z-score is:
We seek to find
For P(x>800) The Z-score is:
The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
For P(x<200) The Z-score is:
The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
Therefore
Answer:
3/4 of the way from A to B = 
or (-3.5, 1.25)
Step-by-step explanation:
Please see attached images below for explanation:
Answer:
Force = mass x acceleration
Therefore,
acceleration = Force / mass
Acceleration = 0.5 / 0.25
Acceleration = 2 m/s²
Step-by-step explanation:
Force = mass x acceleration
Therefore,
acceleration = Force / mass
Acceleration = 0.5 / 0.25
Acceleration = 2 m/s²
The relative frequency of an event is defined as the number of times that the event occurs during experimental trials, divided by the total number of trials conducted.
