Answer:
As X approaches 3 from the right side the Y value is 3.
Answer:
a) P(x<5)=0.
b) E(X)=15.
c) P(8<x<13)=0.3.
d) P=0.216.
e) P=1.
Step-by-step explanation:
We have the function:
a) We calculate the probability that you need less than 5 minutes to get up:
Therefore, the probability is P(x<5)=0.
b) It takes us between 10 and 20 minutes to get up. The expected value is to get up in 15 minutes.
E(X)=15.
c) We calculate the probability that you will need between 8 and 13 minutes:
Therefore, the probability is P(8<x<13)=0.3.
d) We calculate the probability that you will be late to each of the 9:30am classes next week:
You have 9:30am classes three times a week. So, we get:
Therefore, the probability is P=0.216.
e) We calculate the probability that you are late to at least one 9am class next week:
Therefore, the probability is P=1.
Using your answers, object 1 = 394.33 cm³ and object 2 = 376 cm³.
If the objects fill at a rate of 1 cm³ per minute, it will take object 1: 394 minutes and object 2: 376 minutes.
Object 1 = 394 minutes
Object 2 = 376 minutes
Answer:
If a fair coin is tossed three times, sample = 2^3 = 8 (hhh, hht, hth, thh, htt, tht, tth, ttt) where h=head and t=tail.
Probability of getting one:
Outcomes with one head (h) = 3
P(1 h) = 3/8 = 0.375
Step-by-step explanation: