Answer:
P(X = 2) = 0.27894
Step-by-step explanation:
Given:
- The probability that no vision correction is required p = 0.23
- No. adults are randomly selected n = 6
Find:
- P ( Exactly 2 dont require vision correction)
Solution:
- We will declare a random variable X is the umber of adults out of 6 that do not require vision correction. X follows a Binomial distribution:
X~ B ( 6 , 0.23 )
- The probability required is P ( X = 2 )
- Using the pmf of binomial distribution we have:
P(X = 2) = 6C2 * (0.23)^2 * (0.77)^4
P(X = 2) = 15 * 0.0529 * 0.35153041
P(X = 2) = 0.27894
it would be 315. The simplest way to doing this would be by, first , doubling the number to make 252 which would add up to be 80%, and then divide 126 by 2 to get 63 which would be 20% ad by adding them all together you would get 315, which is equal to 100%.
Point slope form y- y1 = m(x- x1) coordinates are (2,1) m=2
so the equation becomes y-1= 2(x-2)
The first question's answer is the second choice. The second question's answer is the first choice. The third question's answer is the second choice.
The complete question in the attached figure
we have that
<span>m∠4=68°
we know that
</span>m∠4 and m∠3 are supplementary angles
so
m∠3=180-m∠4----- m∠3=180-68------> m∠3=112°
m∠3 = m∠2 --------> by alternate interior angles
so
m∠2=112°
m∠1 = m∠4 --------> by alternate exterior angles
so
m∠1=68°
m∠5 = m∠4---------> by corresponding angles
so
m∠5=68°
the answers arem∠1=68°m∠2=112m∠3=112°m∠5=68°