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
Mila [183]
3 years ago
9

The most common form of color blindness is an inability to distinguish red from green. However, this particular form of color bl

indness is much more common in men than in women (this is because the genes corresponding to the red and green receptors are located on the X-chromosome). Approximately 79% of American men and 0.4% of American women are red-green color-blind.1 Let CBM and CBW denote the events that a man or a woman is color-blind, respectively.(a) If an Americal male is selected at random, what is the probability that he is red-green color-blind? P(CBM) =(b) If an American female is selected at random, what is the probability that she is NOT red-green color-blind? P (not CBW) =(c) If one man and one woman are selected at random, what is the probability that neither are red-green color-blind? P=(neither is color-blind) =(d) If one man and one woman are selected at random, what is the probability that at least one of them is red-green color-blind? P=(at least one is color-blind)
Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

Answer:

(a) The correct answer is P (CBM) = 0.79.

(b) The probability of selecting an American female who is not red-green color-blind is 0.996.

(c) The probability that neither are red-green color-blind is 0.9263.

(d) The probability that at least one of them is red-green color-blind is 0.0737.

Step-by-step explanation:

The variables CBM and CBW are denoted as the events that an American man or an American woman is colorblind, respectively.

It is provided that 79% of men and 0.4% of women are colorblind, i.e.

P (CBM) = 0.79

P (CBW) = 0.004

(a)

The probability of selecting an American male who is red-green color-blind is, 0.79.

Thus, the correct answer is P (CBM) = 0.79.

(b)

The probability of the complement of an event is the probability of that event not happening.

Then,

P(not CBW) = 1 - P(CBW)

                   = 1 - 0.004

                   = 0.996.

Thus, the probability of selecting an American female who is not red-green color-blind is 0.996.

(c)

The probability the woman is not colorblind is 0.996.

The probability that the man is  not color- blind is,

P(not CBM) = 1 - P(CBM)

                   = 1 - 0.004  

                   = 0.93.

The man and woman are selected independently.

Compute the probability that neither are red-green color-blind as follows:

P(\text{Neither is Colorblind}) = P(\text{not CBM}) \times  P(\text{not CBW})\\ = 0.93 \times  0.996 \\= 0.92628\\\approx 0.9263

Thus, the probability that neither are red-green color-blind is 0.9263.

(d)

It is provided that a one man and one woman are selected at random.

The event that “At least one is colorblind” is the complement of part (d) that “Neither is  Colorblind.”

Compute the probability that at least one of them is red-green color-blind as follows:

P (\text{At least one is Colorblind}) = 1 - P (\text{Neither is Colorblind})\\ = 1 - 0.9263 \\= 0.0737

Thus, the probability that at least one of them is red-green color-blind is 0.0737.

You might be interested in
Consider the line y=-5/4x-5 find the equation of the line that is parallel to this line and passes through the point (-8,4)
gayaneshka [121]

Answer:

y = -5/4x + 6

Step-by-step explanation:

Since the line we are supposed to find is parallel to y = -5/4x - 5 that means they are going to have the same slope. The line we are looking for is of the following type: y = -5/4 x + b

Since it passes through the point (-8,4):

4 = -5/4 * (-8) + b <=>

4 = -2 + b <=>

4 + 2 = b <=>

b = 6

Hence the line is going to be: y = -5/4x + 6

4 0
3 years ago
HELPPPPP MEEE PLEASE
Brut [27]
The answer is C I think
4 0
3 years ago
Andy bought 4 hamburgers snd 2 milkshakes for $13.50. Danny bought 3 hamburgers and 1 milkshake for $9.25. What cost of a hambur
Molodets [167]

A hamburger costs $2.5 and a milkshake costs $1.75

Step-by-step explanation:

  • Step 1: Form equations from the given details. Let cost of 1 hamburger be H and cost of 1 milkshake be M.

   4H + 2M = 13.50 ------ (1)

&  3H + 1M =   9.25 ------ (2)

  • Step 2: Multiply eq(2) with 2 to make coefficients of M equal.

   6H + 2M = 18.50 ------- (3)

  • Step 3: Subtract eq(3) from eq(1)

⇒ - 2H = - 5

⇒ H = $2.5

  • Step 4: Substitute value of H in eq(2) to find M.

⇒ 3 × 2.5 + M = 9.25

⇒ 7.5 + M = 9.25

⇒ M = $1.75

4 0
3 years ago
Find the area of a circle with a diameter of 4.
Oliga [24]

area of circle =22/7×4=12.56

6 0
3 years ago
Read 2 more answers
Which of the following is not equal to 6.7
kondor19780726 [428]

Answer: i think your missing the other part of the question

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • The square of sophie's age is 16 less than joanna's age. it is also the case that joanna's age is 8 times that of sophie. how ol
    10·1 answer
  • Ten times the sum of half a number and 6 is 8
    5·1 answer
  • The diagram represents a reduction of a triangle by using a scale factor of 0.8. A larger triangle has a base of 10 inches and h
    6·2 answers
  • The function f(x) is given by the set of ordered pairs.
    15·2 answers
  • Music :<br> An online music store sells songs for $0.90 each.
    13·2 answers
  • Please answer the following:
    10·1 answer
  • What is the greatest common factor of 11,44?
    13·1 answer
  • Find the solution for the system of the equation c=-t+2 and c=-4t-4
    10·1 answer
  • What is 1/2 • 2 - 1 =
    6·2 answers
  • What is 5.202÷0.0255​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!