Mathematics, 08.10.2019 23:20 joelleygonzalez5792

Polydactyly is a fairly common congenital abnormality in which a baby is born with one or more extra fingers or toes. it is reported in about one child in every 500 . a young obstetrician celebrates her first 100 deliveries. what is the probability that the obstetrician has delivered no child with polydactyly? (enter your answer rounded to four decimal places.)

Answers: 3

Show answers

Answers

Using the principle of binomial probability, the probability that the obstetrician delivers no child with polydactyl is : 0.8186

Recall :

$P(X = x) = nCx \times p^{x} \times q^{n-x}$

p = probability of success = 1 / 500 = 0.002q = 1 - p = 1 - 0.002 = 0.998n = number of deliveries = 100

Probability of delivering no child with polydactyl ; x = 0

Substituting the values into the equation

$P(X = 0) = 100C0 \times 0.002^{0} \times 0.998^{100}$

$P(X = 0) = 100 \times 1 \times 0.8185668$

P(X = x) = 81.85668

Therefore, the probability that the doctor delivers no child with polydactyl is 0.8186

Learn more : link

Answer from: jhenifelix

There is a 81.86% probability that the obstetrician has delivered no child with polydactyly.

Step-by-step explanation:

There are only two possible outcomes: Either the baby has the anormality, or he hasn't. So we use the binomial probability distribution.

Binomial probability

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

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

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

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

And $\pi$ is the probability of X happening.

In this problem, we have that:

It is reported in about one child in every 500, so $\pi = \frac{1}{500} = 0.002$ .

A young obstetrician celebrates her first 100 deliveries, so n = 100

What is the probability that the obstetrician has delivered no child with polydactyly?

That is P(X = 0)

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

$P(X = 0) = C_{100,0}.(0.002)^{0}.(0.998)^{100} = 0.8186$

There is a 81.86% probability that the obstetrician has delivered no child with polydactyly.

Answer from: Quest

to plot points for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4) in the parenthesis on the left of the comma is x and the right is y.

Answer from: Quest

answer: i guess 5 units?

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 15:00

Answer this 30 points and brainliest!

Answers: 2

Answer

Mathematics, 21.06.2019 17:00

Whats the name of the vertical axis

Answers: 2

Answer

Mathematics, 21.06.2019 22:00

Serena is making an experiment. for that, she needs 20 grams of a 52% solution of salt. she has two large bottles of salt water: one with 40% and the other with 70% of salt in them. how much of each must she use to make the solution she needs? i am in need of

Answers: 1

Answer

Mathematics, 21.06.2019 23:00

Apoll is being conducted at a mall nothingto obtain a sample of the population of an entire country. what is the frame for this type ofâ€‹ sampling? who would be excluded from the survey and how might this affect the results of theâ€‹ survey? what is the frame for this type ofâ€‹ sampling? a. the frame is people who need new clothes. b. the frame is people who shop at the mall. c. the frame is people who like to shop. d. the frame is the entire population of the country. who would be excluded from the survey and how might this affect the results of theâ€‹ survey? a. any person that does not need new clothes is excluded. this could result in sampling bias due to undercoverage. b. any person who does not shop at the mall is excluded. this could result in sampling bias due to undercoverage. c. any person who does not shop at the mall is excluded. this could result in nonresponse bias due to people not participating in the poll. d. there is nobody that is being excluded from the survey.

Answers: 3

Answer

You know the right answer?

Polydactyly is a fairly common congenital abnormality in which a baby is born with one or more extra...

Questions