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
What is the area of this polygon?
brilliants [131]

The area of this polygon is 35.5 units∧2.

Good luck!!!!



8 0
3 years ago
Read 2 more answers
$800 is deposited in an account
Sergeeva-Olga [200]

Answer:

The balance after four years is $1129.27

Step-by-step explanation:

The formula for compound interest, including principal sum, is A=P(1+\frac{r}{n})^{nt}

  • A = the future value of the investment/loan, including interest
  • P = the principal investment amount (the initial deposit or loan amount)
  • r = the annual interest rate (decimal)
  • n = the number of times that interest is compounded per unit t
  • t = the time the money is invested or borrowed for

∵ $800 is deposited in an account

∴ P = 800

∵ The account pays 9% annual interest

∴ r = 9% = 9 ÷ 100 = 0.09

∵ The interest is compounded annually

∴ n = 1

∵ The time is 4 years

∴ t = 4

- Substitute the values of P, r, n, and t in the formula above

∵ A=800(1+\frac{0.09}{1})^{(1)(4)}

∴ A=800(1.09)^{4}

∴ A = 1129.265

∴ The balance after four years is $1129.27

8 0
3 years ago
Use the function f (x) = -2x4 + 3x) – 4x+ 9x2 + 2x – 5 to complete these sentences.
Mekhanik [1.2K]

Answer:

srry need ko den tan

Step-by-step explanation:

pa brainly mo nalang

6 0
2 years ago
Explain how to make a precise graph of y = -2x + 3 without making a T-Table.
kifflom [539]

Answer:

x 2 + 5 x + 6

Step-by-step explanation:

y = m x + c

y- intercept

x = 0

y = (-2) (0) + 3

=3

(x =0,  y = 3)

<h3>slope -2 </h3><h3>y = -1 x + 3</h3>
8 0
3 years ago
How do you simplify 2/16 as a fraction
devlian [24]
1/8 that would be ure answer
7 0
3 years ago
Read 2 more answers
Other questions:
  • A soccer team sold raffle tickets to raise money for the upcoming season. They sold three different types of tickets: premium fo
    11·2 answers
  • Round 23.84 to 1 decimal point
    6·1 answer
  • How do u do this question??
    10·1 answer
  • ( − + 5 + 3)2; simplify.
    7·1 answer
  • Please someone help I need help
    5·1 answer
  • Solve 9(2t+1)-13=t-(t+3)
    10·1 answer
  • Two forces with magnitudes of 25 and 30 pounds act on an object at angles of 10° and 100°, respectively. Find the direction and
    13·1 answer
  • I need help! Thanks!
    8·1 answer
  • I need to know this now please it’s due tomorrow-
    11·1 answer
  • (Order of Operations with Radicals MC) Simplify the expression. one half cubed − 4 ÷ square root of 64 negative thirty-one over
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!