Some biology students were checking eye color in a large number of fruit flies. For the individual fly, suppose that the probability of white-eyes is 1/4 and the probability of red-eyes is 3/4. We may treat these observations as independent Bernoulli trials. what is the probability that at least 3 flies have to be checked for eye color to observe a white-eye fly?

Answers

Answer 1

Answer:

0.5625 = 56.25% probability that at least 3 flies have to be checked for eye color to observe a white-eye fly.

Step-by-step explanation:

A sequence of independent Bernoulli trials is the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

What is the probability that at least 3 flies have to be checked for eye color to observe a white-eye fly?

This is the probability of no white-eyes during the first two flies, that is, [tex]P(X = 0)[/tex] when [tex]n = 2[/tex]

Probability of white-eyes is 1/4

This means that [tex]p = \frac{1}{4} = 0.25[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.25)^{0}.(0.75)^{2} = 0.5625[/tex]

0.5625 = 56.25% probability that at least 3 flies have to be checked for eye color to observe a white-eye fly.


Related Questions

Mrs. Jones is 4 times as old as her son. The sum of their ages is 50 years. How old was Mrs. Jones when her son was born?

Answers

Answer:

30

Step-by-step explanation:

is mrs. jones is 40, her son is 10, sum = 50.

ten years before son was 0, mrs. jones was 30

In the ordered pair of numbers (-2,8) the number - 2 is called the
and the number 8 is called the

Answers

Answer:

x co-ordinate and y co-ordinate

Please help




34 is what percent of 150​

Answers

Answer:

The answer i Think is 22.67%

Convert: 112 meters =______________________
centimeters

Answers

Answer:         m               cm

                    112.00 11,200

Step-by-step explanation:

2. Find the area; reduce to lowest terms:
Length: 2 3/4 feet width 2/5 feet

Answers

Answer:

1 2/20

Step-by-step explanation:

27. The traffic officer issued violation tickets to traffic
violators. If 68 of them composed 80% of the total
violators, how many violators are there in all?
A. 83
B. 84
C. 85
D. 86
28. There are 18 roses in a bunch of 24 flowers.
What percent of the flowers are roses?
A. 18%
B. 24% C. 60% D. 75%
29. A number is 20% of 50. What percent it is to
200?
A. 5%
B. 10% C.15% D. 20%
Please help


I really need it I'm gonna give u Brainliest ​

Answers

Answer:

27. C

28. D

29. A

HELP
Which of the following is an open statement?
14 ÷ 2 = 7
2x + 5x = 7x
3 + 10 = 13
3x = 12

Answers

Answer:

i think 3+10=13 is the open statement

A researcher reports that 80% of high school seniors would pass a driving test, but only 45% of high school freshmen would pass the same driving test. Assume that the researcher’s claim is true. Suppose a driving test is given to a random sample of 90 high school seniors and a separate random sample of 85 high school freshmen. Let and be the sample proportions of seniors and freshmen, respectively, who pass the test. What are the shape and mean of the sampling distribution of ? skewed left with mean –0.35 skewed right with mean 0.625 exactly Normal with mean 0.35 approximately Normal with mean 0.35 approximately Normal with mean 0.625

Answers

Answer:

approximately Normal with mean 0.35

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

A researcher reports that 80% of high school seniors would pass a driving test, but only 45% of high school freshmen would pass the same driving test.

This means that [tex]p_1 = 0.8, p_2 = 0.45[/tex]

Subtraction of Variable 1 by Variable 2:

By the Central Limit Theorem, the shape will be approximately normal.

The mean is the subtraction of the means of each proportion. So

[tex]p = p_1 - p_2 = 0.8 - 0.45 = 0.35[/tex]

So the correct answer is given by:

approximately Normal with mean 0.35

determine the supplement of 50 degree

please help me please i really need help please

Answers

Answer:

Step-by-step explanation:

The supplement of 50° is the angle that when added to 50° forms a straight angle (180° ).

A carpenter has a board that is 4 feet long. He wants to cut it into 3 equal pieces. How many inches long will each piece need to be?​

Answers

4*12=48
48/3=16
Each piece will need to be 16 inches long.

What is the area of a rectangle with the measurement of the length of 12 and width of 6

Answers

Answer:

72 units^2

Step-by-step explanation:

ILL GIVE BRAINLIEST TO WHO EVER CAN ANSWER MY LAST QUESTION

Answers

What’s your question ?

okay i only have 40 points left and i cant figure out my goformative that my teacher put up if i can get one of yalls discord or anything to were you can help me please do

Answers

Answer:

add me keegan#0839

Step-by-step explanation:

Quotient of 5 and 1/2

Answers

Answer:

5 divided by 1/2 try that

Step-by-step explanation:

yeah tr this

Answer:

The answer is 10

Step-by-step explanation:

5/(1/2) or 5 times the reciprocal of (1/2) known as 2 would be 10

Find the value of b.A. 14B. 15C. 64D. 289

Answers

9514 1404 393

Answer:

  B.  15

Step-by-step explanation:

From the second equation, ...

  b² = 17² -8²

  b = √(289 -64) = √225

  b = 15

PLEASE OR THE LOVE OF GOD HELP ME

Answers

Answer: C.

Step-by-step explanation:

if they deleat the answer im sorry

find the measure of each given angle ​

Answers

9514 1404 393

Answer:

  ∠2 = 19°

Step-by-step explanation:

Angles that are equal to 161° are vertical and corresponding angles: 1, 4, 5.

Angles that are equal to the supplement of 161° are the remaining angles: 2, 3, 6, 7.

Angle 2 is the supplement of 161°:

  ∠2 = 180° -161°

  ∠2 = 19°

Ted can change an advertisement on a billboard in 5hr. Marie can do the same job in 2hr. How long would it take them if they worked together? Write your answer as a fraction or mixed number, if necessary.

Answers

Answer:

Working together, they will finish the job in 1 hour, 25 minutes, and 42.6 seconds.

Step-by-step explanation:

Given that Ted can change an advertisement on a billboard in 5 hours, while Marie can do the same job in 2 hours, to determine how long it would take them if they worked together the following calculation must be performed:

Ted 1/5 in 1 hour

Marie 1/2 in 1 hour

1/5 + 1/2 = X

5X + 2X = 10

7X = 10

X = 10/7

X = 1 3/7

60/7 x 3 = 25.71

60 x 0.71 = 42.6

So, working together, they will finish the job in 1 hour, 25 minutes, and 42.6 seconds.

What is m Angle Q B O? 5° 9° 12° 24°

Answers

12 cant be 5 9 or 24 so go with 12

Answer:

12

Step-by-step explanation:

(10 POINTS) answer ASAP if you can

Answers

I think that the answer is R
I think it’s R I have the same prb

Find the area. Simplify your answer.
x+8
x+7

Answers

Answer:

x² 15

Step-by-step explanation:

I'm not 100% sure.. sorry if I'm wrong..

Question 6 of 25
Today Charlie put a ring on layaway by making a down payment of $85 and
agreeing to pay $18 per month, starting next month, for 21 months. When will
Charlie receive the ring?
O A. In 21 months
O B. In 1 month
O C. Today
OD. In 18 months

Answers

Charlie will receive the ring in 21 months.

What does layaway mean?

It is a method of buying something in which a person can make a downpayment to buy something at a store and the store holds the item on their behalf until the last payment is done after which they gain possession of it.

Charlie has put in a ring on layaway. This means that he will only receive the ring in 21 months after he has finished paying all the installments. He will not gain possession of the ring right away after making the downpayment of $85.

Thus, we have found that Charlie will receive the ring in 21 months. The correct answer is option A.

Learn more about layaway here: https://brainly.com/question/4428781

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Need help on this question

Answers

(-1.5,2.5) is the point where A is on the coordinate plane.
The coordinates of A are (-1.5,2.5)

Help me ! This is due today

Answers

Answer:

y = 1/4 x + 1

The slope is 1/4, and the y intercept is 1.

Let me know if this helps!

Write each absolute value in a box to show the order from least to greatest.

|11| |–8| |–2| |5| |–12|

Answers

Answer:

|–2| |5| |–8| |11| |–12|

Answer:

|-2|,|5|,|-8|,|11|,|-12|

Step-by-step explanation:

This is the order because |-2| in absolute value is positive 2 and |11| in absolute value is still positive because you don't change the sign unless the ll was negative in absolute value.

Can you help me please here is the image

Answers

Answer: D all of the above

Step-by-step explanation:

A. you can see that the majoritie of the area is dessort becuase of the long expance of lack of vegitation and water

B. Because there is no other water sourses the cities would have to be along water

C. Along the nile river is vegitation

D. Must be D.

Which of these is an exponential parent function?
A. f(x) = x
B. f(x) = x
C. f(x) = 2x
D. f(x) = 1x1
SMIT

Answers

D is the answer hope this helps!

Option B is correct, f(x) = 2ˣ is an exponential parent function.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The exponential parent function is of the form:

f(x) = aˣ

where a is a positive constant (the base of the exponential function).

Among the given options, the exponential parent function is,

⇒  f(x) = 2ˣ,

Because it has the form of an exponential function, where the base is 2.

f(x) = x is a linear function, not an exponential function.

f(x) = |x| is an absolute value function, not an exponential function.

f(x) = x² is a quadratic function, not an exponential function.

Hence,  f(x) = 2ˣ is an exponential parent function, Option B is correct.

To learn more on Functions click:

brainly.com/question/30721594

#SPJ5

The length of a side of a cube can be determinad
by finding the cube root of its volume. If a cube has
a volume of 64 cm3 what s the length of a side?
A 40 cm
B. 80 cm
C. 16.0 cm
D. 32.0 cm

Answers

Answer:

4 cm

which is none of the listed answers

Step-by-step explanation:

∛64 = 4

proof:

4x4x4 = 64

how many times larger is 1,000 than 1?

Answers

Answer:As 1,000 multiplied by 1 equals 1,000. So, 1000 is thousand times bigger than 1. For instance, 100 is 10 times bigger than 10.

Step-by-step explanation: Brandon .w.

Given a triangle with B = 41˚, a = 21, and b = 12. Approximate the measure
of angle A to the nearest 0.1˚.

Answers

I’m Siri the answer to your question is 8 lol have a good day
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