I need some help on this
1 answer:
Answer:
Step-by-step explanation:
Point of intersections of the graph with x-axis are not clear.
Let these points are x = -a, -b and c
Therefore, function representing the graph will be,
f(x) = p(x + a)(x + b)(x - c)
Since, this graph crosses y-axis at (0, -6),
f(0) = p(0 + a)(0 + b)(0 - c) = -6
-pabc = -6
p =
Therefore, equation of the given function will be,
f(x) =
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Answer:
Step-by-step explanation:
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