Answer:
Step-by-step explanation:
We would apply the formula for binomial distribution which is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 18% = 18/100 = 0.18
q = 1 - p = 1 - 0.18
q = 0.82
n = 5
Therefore,
P(x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x = 0) = 5C0 × 0.18^0 × 0.82^(5 - 0)
P(x = 0) = 0.37
P(x = 1) = 5C1 × 0.18^1 × 0.82^(5 - 1)
P(x = 1) = 0.41
P(x = 2) = 5C2 × 0.18^2 × 0.82^(5 - 2)
P(x = 2) = 0.18
Therefore,
P(x ≤ 2) = 0.37 + 0.41 + 0.18 = 0.96
Answer:
every term has an even factor
Step-by-step explanation:
One of the two factors of the n-th term will be even.
- for n odd, n+1 is even
- for n even, n+2 is even
If the number has an even factor, it is an even number. Every term of the sequence has an even factor, so every term will be even.
Answer:
That is the<u> associative property</u>. In addition, it doesn't matter what order you add things in, so you can "associate" any grouping of additions and get the same result:
(a+b)+c = a+(b+c)
Note that this is true for multiplication as well:
(a*b)*c = a*(b*c)
Yes, 1/2 is equivalent to 4/8, because 4/8 reduced to simplest form is 1/2.
Answer:
Slove For X
x= -1
Solve for Y
Y= 10/3
Step-by-step explanation:
SO I did Elimination method
To isolate X and to solve for it
x+3y=9
3x−3y=−13
Add these equations to eliminate y:
4x=−4
Solve for X
x=-1
Now plug x back in to solve for y
