Answer:
the probability that the graduate program will have enough funding for all student that join the program is 0.3653 (36.53%)
Step-by-step explanation:
since each student is independent on others the random variable X= x students of 45 applicants will join the program has a binomial probability distribution
P(X=x)= n!/[(n-x)!*x!]*p^x*(1-p)^x
where
n= total number of students= 45
p= probability that a student join the program= 0.7
x= number of students that join the program
then in order to have enough funding x should not surpass 30 students , then
P(X≤30)= ∑P(X) for x from 1 to 30 = F(30)
where F(30) is the cumulative probability distribution
then from binomial probability tables
P(X≤30)= F(30)= 0.3653 (36.53%)
therefore the probability that the graduate program will have enough funding for all student that join the program is 0.3653 (36.53%)
Answer:
No, his inference is not valid
Step-by-step explanation:
the data shown represents the statistic of 100 people's preferred ways to view movies in total
out of that 30/100 people prefer to watch in theatre.
trent inferences that out of 400 people 300 would prefer to watch in theatre another way to write this is 300/400
if we multiply the data we're given so that the denominators match Trent's inference. The data tells us that 120/400 would prefer to watch in theatre, so his inference is not valid.
Basically you would break down the numbers let's say you start off with 48, 8 times 6 gives you 48 what can go into 8, 2 and 4 then you say what can go into 4 which is 2 and 2 then break down 6, 3 an 2 basically you break it down all the way until you get the prime numbers
Y= -2x/5 + 11/5
Mark brainliest please
Hope this helps you