What is the range of the function y=5^x

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

What is the LCD of 1/3 and 3/4 ?

RideAnS [48]

D. 12
Pretty much the smallest number both denominators can go in.
So the multiples of
4: 4,8,12
3:3,6,9,12

6 0

3 years ago

PLEASE HELP! Y=5x-9 -2x-3y=-7 Please show work! substition for math

Zepler [3.9K]

Answer:

ill edit this and Post the answer in a few m0ments .....

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the area of the circle if radius is 6 and there is only 3/4 of the circled

drek231 [11]

Answer:

84.8

Step-by-step explanation:

Begin by finding the total area of the circle. You have been given the radius.

A = πr²

A = π(6)²

A = 36π

A = 113

If there is only 3/4 of the circle, then multiply the entire area by 3/4 to find the final answer.

113 x 3/4 = 84.8

3 0

2 years ago

Quintina decided to increase the deduction percentage of her federal income tax rate from 14% to 16%. Quintina’s gross pay per m

Tju [1.3M]

Answer:

ok good Step 1

Write your problem.

537.95 x 9.5% = ?

Step 2

Convert the % to a decimal:

9.5% to 0.095

Step 3

Rewrite the problem with decimal replacing the percentage.

Now the problem looks like this:

537.95 x 0.095 = 51.11

This problem gives the amount of the tax.

Step 4

Add the original price with the tax amount:

537.95 + 51.11 = $589.06 (total cost)

Step-by-step explanation:

4 0

3 years ago