Answer:
a)
We can use the probability mass function and we got
b)
We can use the probability mass function and we got
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Part a
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And for this case we want to find this probability:
We can use the probability mass function and we got
Part b
Let X the random variable of interest, on this case we now that:
And for this case we want to find this probability:
We can use the probability mass function and we got
Answer:
65 degrees
Step-by-step explanation:
Answer:
100% --- x
75% --- 18
knowing that you have to multiply the 100 with 18 and 75 with x
75x = 100 . 18
75x = 1800
x = 1800 : 75
x = 24
Step-by-step explanation:
so there are 24 people in the classroom
Machine can make 114 copies in 4 minutes and 45 seconds. So first convert 45 seconds into minutes. We will use ratio and proportion for that using 1 minute = 60 seconds. So let say X minutes = 45 seconds.
solve for X as shown
= X
0.75 = X
So 45 seconds =0.75 minutes
So it takes 4 minutes +0.75 minutes = 4.75 minutes for machine to make 114 copies. We have to find copies made in 1 minute. So lets say it makes C copies in 1 minute. Again we will use ratio and proportion
=
Now solve for C as shown
=
24 = C
So machine can make 24 copies in 1 minute. So thats the final answer.
Answer:
-1/12
Step-by-step explanation:
i took the test