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
lutik1710 [3]
3 years ago
9

Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States. In Australia, only 1.5% of

the population has blood type AB. Suppose a random sample of 50 U.S. residents and 40 Australians is obtained. Consider the random variables described below: X: the number of U.S. residents with blood type AB Y: the number of Australians with blood type AB What is the probability that exactly 2 of the U.S. residents have blood type AB? (Note: Some answers are rounded) 0.2762 0.04 0.1334 0.0988 0.2646
Mathematics
1 answer:
Naddik [55]3 years ago
5 0

Answer:

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

Step-by-step explanation:

For each U.S. resident, there are only two outcomes possible. Either they have blood type AB, or they do not. This means that we can solve this problem using binomial probability distribution concepts.

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}.\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:

50 U.S residents are sampled, so n = 50

4% of the U.S population has blood type AB, so p = 0.04.

What is the probability that exactly 2 of the U.S. residents have blood type AB?

This is P(X = 2). So:

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

P(X = 2) = C_{50,2}.(0.04)^{2}.(0.96)^{48} = 0.2762

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

You might be interested in
Given that angle a = 45°, work out x.<br><br><br> The diagram is not drawn accurately.
Romashka-Z-Leto [24]

Answer:

X = 45

Step-by-step explanation:

90 + X + A = 180 (angles of a triangle sum to 180)

90 + X + 45 = 180

X = 45

3 0
2 years ago
The function p(x)= 2x+1 determines how many pizzas need to be purchased for an after school meeting, where x is the number of st
Yuliya22 [10]
C)73 is the correct answer


5 0
3 years ago
Read 2 more answers
Plzz help me with this one i dont know what to do on this one<br><br> 5x- 3(x-2)
svlad2 [7]
The answer is 1 , because x-2 becomes 2x and you subtract 5x from 2x and and get 3x and 3/3 is 1

5 0
3 years ago
In the slope-intercept equation for a line, the co-efficient of the x-term gives the _______
nignag [31]

Answer:

slope

Step-by-step explanation:

7 0
3 years ago
Put the correct graph to each category
Svet_ta [14]

Answer:

First one is a slope between 0 and 1

second one is a slope lower than 0

third one is a slop higher than 1

last one is a slope higher than 1 (technically undefined)

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • The coordinates of the vertices of triangle ABC are A(-1,3), B(1,2) and C(-3,-1).
    7·1 answer
  • A tree struck by lightning broke at a point 12 got above the ground as shown. What was the height of the tree to the nearest ten
    8·1 answer
  • LMNP is a rectangle. Find the value of x and the length of each diagonal. LN=6x+9and MP=9x−6
    15·1 answer
  • Math ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
    8·2 answers
  • Solve the following inequaltity. (x-8)^2(x+7)&gt;0 What is the solution?
    6·1 answer
  • Given the speeds of each runner below, determine who runs the fastest? ron runs 15 feet per second. Brooke runs 85 feet in 9 sec
    8·1 answer
  • Mischa wrote "" Anderson has ten trading cards.He gives some to Desai."" This describes a possible context for the expression x-
    8·1 answer
  • Plums and Peaches
    13·1 answer
  • EMERGENCY PLS HELP: Solve the right triangle. Round lengths to the nearest tenth and angles to the nearest degree.
    10·1 answer
  • Complete each of the following using the given graph.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!