Answer:
the probability is closer to 1 than it is to 0
Step-by-step explanation:
Answer:
The length of OR = 3.12
Step-by-step explanation:
In a parallelogram:
LM = 4.12
MN = 4
LN = 5 = 2.5 (divided by 2)
OM = 6.4
where LN and OM are diagonals. We will find the length of OR.
Now by applying the Pythagorean theorem:
b = √c²-a²
OR= √(4)²-(2.5)²
OR = √16-6.25
OR = √9.75
OR = 3.12
Thus the length of OR = 3.12 ...
Answer:
Let’s denote X to be the number of white chips in the sample and E be the event that exactly half of the chips are white. Then,
a) Find α
α = P (reject H0 | H0 is true) = P (X ≥ 2|E)
= P (X = 2|E) + P (X = 3|E),
We took two case, as we can draw only only three chips with two or more white to reject H0, it means we can only take 2 white chips or 3, not more, we get solution
= (5C2 * 5C1)/10C3 + (5C3 * 5C0)/10C3
= 0.5
So, α = 0.5
b) Find β
i) Let E1 be the event that the urn contains 6 white and 4 red chips. (As given)
β = P (accept H0 | E1) = P (X ≤ 1|E1)
= (6C0 * 4C3)/10C3 + (6C1 * 4C2)/10C3
= 1/3
= 0.333
So, β = 0.333
i) Let E2 be the event that the urn contains 7 white and 3 red chips. (As given)
β = P (accept H0 | E2) = P (X ≤ 1|E2)
= (7C0 * 3C3)/10C3 + (7C1 * 3C2)/10C3
= 11/60
= 0.183
So, β = 0.183
<h3>The equivalent expression is 6 + 6x</h3>
<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>
9 - (3 - 6x)
We have to find the equivalent expression
Use the distributive property,
a(b + c) = ab + bc
Therefore, from given expression,
Combine the constants, 9 - 3 = 6
Thus the equivalent expression is 6 + 6x
