Answer:
since your on brainly
go to ask then go to scan text problem
Answer:
Probability that at least 490 do not result in birth defects = 0.1076
Step-by-step explanation:
Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.
To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects
Proof -
Given that,
P(birth that result in a birth defect) = 1/33
P(birth that not result in a birth defect) = 1 - 1/33 = 32/33
Now,
Given that, n = 500
X = Number of birth that does not result in birth defects
Now,
P(X ≥ 490) =
= + .......+
= 0.04541 + ......+0.0000002079
= 0.1076
⇒Probability that at least 490 do not result in birth defects = 0.1076
Answer:
Angle a = 126°
Step-by-step explanation:
in the given figure,
b = 54°
( since they form vertical opposite angle pair, )
and
a = c
( since they are pair of vertical opposite angles )
now,
we know sum of all these angles = 360°
( because they for complete angle )
so,
=》a + b + c + 54° = 360°
=》a + 54° + a + 54° = 360°
( since, b = 54°, and a = c )
=》2a + 108° = 360°
=》2a = 360° - 108°
=》a = 252° ÷ 2
=》a = 126°