Solve <br> x + 2y = 3 <br> x - y = 6<br> x = ? <br> y = ?

g The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control

Rudiy27

Answer:

0.1426 = 14.26% probability that at least one of the births results in a defect.

Step-by-step explanation:

For each birth, there are only two possible outcomes. Either it results in a defect, or it does not. The probability that a birth results in a defect is independent of any other birth. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

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).

This means that $p = \frac{1}{33}$

A local hospital randomly selects five births.

This means that $n = 5$

What is the probability that at least one of the births results in a defect?

This is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(\frac{1}{33})^{0}.(\frac{32}{33})^{5} = 0.8574$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8574 = 0.1426$

0.1426 = 14.26% probability that at least one of the births results in a defect.

4 0

3 years ago

PLEASE HELP ME IS DUE TMW! Plz :)

trapecia [35]

What do the instructions say?

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4 years ago

Last month Dory biked 11 times as many miles as Carly together dirt bike the total of 156 miles how many miles did Dory biked la

Lynna [10]

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8 0

4 years ago

Help me please need a answer

snow_tiger [21]

Answer:

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4 0

3 years ago

Write the expression for when you translate the graph of y = |3x|− 5 one unit to the right.

DedPeter [7]

Answer:

$y=|3x-3|-5$

Step-by-step explanation:

Notice that we are requested to perform a horizontal shift of on unit to the right. Recall that a horizontal shift of one unit to the right involves the operation of subtracting from the variable "x" one unit.

Therefore, this implies the following mathematical transformation to the variable "x":

$y=|3(x-1)|-5\\y=|3x-3|-5$

where we simply completed distributive property to get rid of the parenthesis inside the absolute value.

5 0

3 years ago

Solve x + 2y = 3 x - y = 6 x = ? y = ?