1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sloan [31]
3 years ago
12

Can someone help me with this question?

Mathematics
1 answer:
belka [17]3 years ago
5 0

Answer:

The required probability is 0.0155.

Step-by-step explanation:

We are given that the one-year survival rate for pancreatic cancer is 20%.

Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year.

The above situation can be represented through binomial distribution;

P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......

where, n = number of trials (samples) taken = 12 people

            r = number of success = 6 survived

            p = probability of success which in our question is probability of

                  one-year survival rate for pancreatic cancer, i.e; p = 20%

Let X = <u><em>Number of people survived one year</em></u>

So, X ~ Binom(n = 12 , p = 0.20)

Now, the probability that 6 survived one year is given by = P(X = 6)

              P(X = 6)  =  \binom{12}{6} \times 0.20^{6} \times (1-0.20)^{12-6}

                             =  924 \times 0.20^{6} \times 0.80^{6}

                             =  <u>0.0155</u>

You might be interested in
Which mathematical property is needed in order to solve an equation in the form of a(b+c)=d?
Andreyy89

Answer: Distributive property

Step-by-step explanation:

Distributive property

a(b+c)=d\\(a*b)+(a*c)=d

6 0
3 years ago
What terms apply to angle Dea and angle aeb
harkovskaia [24]

Answer:

What is angle "Dea"

Step-by-step explanation:

And what is "aeb"

8 0
3 years ago
The price of a cap is increased by 25%.By how much percent should its price be
Arada [10]

Answer: 20%

Step-by-step explanation:

7 0
3 years ago
What is the correct classification of the system of equations below? 14x + 2y = 10 y + 7x = -5 parallel coincident intersecting
marissa [1.9K]
In standard form the two equations are
  7x +y = 5
  7x +y = -5

The equations describe lines that are parallel.
5 0
3 years ago
Use the side-splitter theorem to solve for x in the triangle below.
fiasKO [112]

Answer:

x = 7

Step-by-step explanation:

According to the side-splitter theorem, the two sides of the triangle is divided proportionally if the line that intersects both sides is parallel to the third side of the ∆.

Therefore, based on this theorem, we would have the following:

\frac{x}{21} = \frac{8}{24}

Solve for x

\frac{x}{21} = \frac{1}{3}

Multiply both sides by 21

\frac{x}{21}*21 = \frac{1}{3}*21

x = \frac{21}{3}

x = 7

8 0
2 years ago
Other questions:
  • Simplify the expression: 3x2(x2 - 4x - 2) + (5x3 + 7x2 + 2x + 11) Show and explain your steps.
    7·1 answer
  • Combined with the equation −9x + 3y = 12 creates a system of linear equations with no solution? Select one: A. 18x - 6y = 20 B.
    9·1 answer
  • A box contains 4 plain pencils and 4 pens. A second box contains 3 color pencils and 7 crayons. One item from each box is chosen
    6·1 answer
  • Jane and her sister Laurie are painting a garage. Julie can paint the garage in 7 hours and Lauren can paint the garage in 10 ho
    10·1 answer
  • First-order linear differential equations
    9·1 answer
  • A bag contains 2 RED beads, 7 BLUE beads, and 6 GREEN beads. If a single bead is picked at random, what is the probability that
    12·2 answers
  • Calculate 1/3 of 50 cm<br><br> Plssss helpppp solve....
    14·2 answers
  • I need to fine <br> sinx=18/13
    8·1 answer
  • An angle measures 24º more than the measure of its complementary angle. What is the
    7·1 answer
  • Pls helppppppppp!!!!!!!!!! (Jesus loves u)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!