Question

In: Statistics and Probability

1. Every two seconds someone in America needs blood. It is important that hospitals have the...

1. Every two seconds someone in America needs blood. It is important that hospitals have the right types of quality
blood to meet the patient needs. Blood donation centers help hospitals meet this demand. There are four main
blood groups: A, B, AB, and O, of which O is the most common. One of the less common blood types is B+. In
the United States, only 9% of the population has B+ blood type.
Assume that 5 donors arrive to a blood donation center and you are interested in the number of these donors that
have B+ blood type. Therefore, let X be the random variable that represents the number of donors with B+ blood

a) What type of distribution is the random variable X?
b) CENTRAL TENDENCY: Calculate the mean of X
c) DISPERSION OR SPREAD: Calcuate the variance and standard deviation of X
d) SHAPE: Create the probability mass function of X in graphical format
e) SHAPE: Create the cumulative distribution function of X in graphical format.
type among the 5 donors that came to the center.

Expert Solution

1. The proportion of the population has B+ blood type is p=0.09

Assuming that 5 arrived to a blood donation centre.

Let X be the random variable that represents the number of donors with B+ blood.

a. Therefore the distribution of X is binomial with parameter n=5 and p=0.09

Since probability of success is constant and sample size is fixed. Also the trials are independent, that is the blood group of each person is independent of each other.

b. The mean of random variable X is

c. The variance of random variable X is:

The standard deviation is

d.

orchestra answered 1 year ago

1. If you are heterozygous for type B blood and you have a child with someone...

1. If you are heterozygous for type B blood and you have a child with someone who has type AB blood: A. What are the chances of having a child with type O blood? __________________________________ B. What are the chances of having a child with type AB blood? _________________________________ C. What are the chances of having a child with type A blood? __________________________________ D. What are the chances of having a child with type B blood?...

The population growth for Norway is: 1 birth every 1 minutes and 40 seconds 1 death...

The population growth for Norway is: 1 birth every 1 minutes and 40 seconds 1 death every 3 minutes and 16 seconds 1 arrival every 57 seconds 1 departure every 1 minute and 49 seconds Assume the current population is 35,201,142. Write a program that calculates the population n minutes from now. Declare a final integer called minutesElapsed and perform your calculations based on that

why do you have to be concerned with blood types when a patient needs a blood...

why do you have to be concerned with blood types when a patient needs a blood transfusion or an organ donation?

Consider the following circuit to control a moving walkway. Every 2 seconds, the circuit examines two...

Consider the following circuit to control a moving walkway. Every 2 seconds, the circuit examines two weight sensors and decides if the walkway will travel Northward or Southward or be turned off. There is a weight sensor in the North half of the walkway and a weight sensor in the South half of the walkway. If both sensors detect zero weight, the walkway is turned off. If the walkway is off and both sensors detect weight, the walkway remains off....

Explain why every country needs to have an economy focused on knowledge.

Question: A robot is given 1 random instruction every second for 10 seconds. Each instruction will...

Question: A robot is given 1 random instruction every second for 10 seconds. Each instruction will be either a command to move 1 inch to the left, or 1 inch to the right. The likelihoods of the instruction being a command to move to the left and right are 'p' and '1-p', respectively. Find: a) What is the expectation of the robot's final position with respect to its starting position. b) What is the variance we might expect for observations...

1. Why does America have a bicameral Congress? What are the differences between the two chambers?...

1. Why does America have a bicameral Congress? What are the differences between the two chambers? Name and describe at least three. Why do representatives in the two chambers serve differing term lengths? 2. What powers does Congress have? Name and describe at least four. 3. How are laws made in Congress? Name at least five steps. 4. What are the powers of the President? Name and describe at least five. 5. How does the Electoral College work?

A) Is it important to have a break after every case in the switch statement?) b)...

A) Is it important to have a break after every case in the switch statement?) b) Explain lain your answer by writing an example of a switch statement and showing the effect of including and excluding the break. 10 points A) String Name = KB.NextLine(); Write a java statement to convert Name to upper case. B) char Letter =KB.next().charAt(0); Write a java statement to convert Letter to lower case. 5 points c) Write a while loop which...

Why is it important for leaders to have a good understanding of Maslow’s hierarchy of needs...

Why is it important for leaders to have a good understanding of Maslow’s hierarchy of needs and equity theory? Being a leader in an organization, how would you make best use of your understanding about these theories? Discuss with rationale. Question from book ( Daft, R. L and Marcic, D. (2014). Building Management Skills: An Action – First Approach, South-Western CENGAGE Learning, USA. ISBN – 13:978-0-324-23599-9)

If two blood vessels carry blood with the same viscosity. They have the same length but...

If two blood vessels carry blood with the same viscosity. They have the same length but different cross section areas where A1 > A2. IF the Hagan-Poiseuille Law applies and both vessels require the same flow rate. Which vessel has the larger pressure drop? Vessel 1 or Vessel 2?