Freshman

Question

Satisfied=55
Neutral=21
Not satisfied=17
Total=93

Sophomore
Satisfied=49
Neutral=18
Not satisfied=15
Total=82

Junior
Satisfied=68
Neutral=14
Not satisfied=14
Total=96

Senior
Satisfied=63
Neutral=11
Not satisfied=22
Total=96

total Satisfied=235
total Neutral=64
total Not satisfied=68
total Total=367
If a survey participant is selected at​ random, what is the probability that he or she is satisfied or a​ junior?
​P(satisfied or ​junior)=
formula : P(E or F)= P(E)+P(F)-P(E and F)

Answer 1

P(satisfied or junior) = P(satisfied) + P(junior) - P(satisfied and junior)

P(satisfied) = total satisfied / total participants = 235 / 367
P(junior) = total junior / total participants = 96 / 367
P(satisfied and junior) = satisfied and junior / total participants = 68 / 367

P(satisfied or junior) = 235 / 367 + 96 / 367 - 68 / 367
P(satisfied or junior) ≈ 0.639

Answer 2

Your answer is wrong. Use the General Addition Rule to find the probability. The rule states that for any two events E and F,
P(E or F)= P(E)+P(F)-P(E and F).

Answer 3

Apologies for the error. Let's use the General Addition Rule to find the probability.

P(satisfied or junior) = P(satisfied) + P(junior) - P(satisfied and junior)

P(satisfied) = total satisfied / total participants = 235 / 367
P(junior) = total junior / total participants = 96 / 367
P(satisfied and junior) = satisfied and junior / total participants = 68 / 367

P(satisfied or junior) = P(satisfied) + P(junior) - P(satisfied and junior)
P(satisfied or junior) = 235 / 367 + 96 / 367 - 68 / 367
P(satisfied or junior) = 329 / 367
P(satisfied or junior) ≈ 0.896

Answer 4

How did you got 329/367 I got 263/367

Answer 5

Apologies for the confusion. Let's calculate it again:

P(satisfied) = total satisfied / total participants = 235 / 367
P(junior) = total junior / total participants = 96 / 367
P(satisfied and junior) = satisfied and junior / total participants = 68 / 367

P(satisfied or junior) = P(satisfied) + P(junior) - P(satisfied and junior)
P(satisfied or junior) = 235 / 367 + 96 / 367 - 68 / 367
P(satisfied or junior) = 331 / 367
P(satisfied or junior) ≈ 0.9