S(p)= 5(12)= $60
D(p)= 120-4(12)= $72
Answer:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
The expected value is given by this formula:
For this reason the best option is:
D. E (X )=np
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".
Solution to the problem
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:
The expected value is given by this formula:
For this reason the best option is:
D. E (X )=np
Answer:
(12, 3)
Step-by-step explanation:
write the equation:
if x = number of 2 point shots
and y = number of 3 point shots
2x + 3y = 33
write another equation with the total baskets
x + y = 15
plug them both into desmos and find the solution
(12, 3)
she made 12 2-point shots and 3 3-point shots
Answer: y=x+5
Step-by-step explanation:
So the dots are going at a slope of 1 up and 1 right each time, so your slope would be 1, or simply x if you times it. To line it up with the slope, you have to move up 5 on your y-axis, known as your b. Then from there, you go up 1 over 1 which will line up with all the dots.
There are 2 senators from each of the 50 states.
All senators are present, therefore there are 100 senators.
48 senators voted in favor of a treaty.
Let x = the number of additional senators who should vote in favor of the treaty to achieve 2/3 of 100.
That is,
48 + x ≥ (2/3)100
x ≥ 200/3 - 48
x ≥ 18.667
x should be an integer, therefore
x ≥ 19
Answer: 19 or greater