Which statement implies that A and B are independent events?A. P(B|A) = P(B A)

B. P(B|A) = P(B)
P(A)
C. P(B|A) = P(A)

D. P(B|A) = P(B)

Answers

Answer 1
Answer:

The events A,B are independent if and only if P(A\cap B)=P(A)\cdot P(B). Under this condition, we have conditional probabilities

P(A\mid B)=(P(A\cap B))/(P(B))=(P(A)\cdot P(B))/(P(B))=P(A)

P(B\mid A)=P(B)

so the answer is D.

Answer 2
Answer:

Answer:

The answer is D.

Step-by-step explanation:


Related Questions

C = 0.765x + 0.06(0.765x)
If f(x) = (x + 7)^2, which of the following is g(x) based on the translation?g(x) = (x + 9)^2g(x) = (x + 5)^2g(x) = (x − 9)^2g(x) = (x − 5)^2
Find y on the triangle that has sides length of 7 and x
Sarah is twice as old as her youngest brother if the difference between their ages is 15 years how old is her youngest brother
112 oz= how many pounds are in 112 ounces

CAN SOMEONE PLEASE HELP ME WITH THESE PLSSS!!

Answers

Answer:

e= 2

W= 15

m= 9

Step-by-step explanation:

for e: yout multiply 5 x 7 to get 35 so 2 x 7 = 14

for W: 20/10 = 2 so divide 30/2 to get 15

for m: 11 x 2 = 22 so do 18 divided 2 to get 9

Answer:

E = 2

W = 15

M = 9

Step-by-step explanation:

You just have to make the denominator / numerator the same.

(E)/(5) = (14)/(35)

Multiply the first fraction by 7 so that their denominators are both 35.

(7E)/(35) = (14)/(35)

7E = 14

E = 14 ÷ 7

E = 2

(20)/(30) = (10)/(W)

Multiply the second fraction by 2 so that their numerators are both 20.

(20)/(30) = (20)/(2W)

2W = 30

W = 30 ÷ 2

W = 15

(M)/(11) = (18)/(22)

Multiply the first fraction by 2 so that their denominators are both 22.

(2M)/(22) = (18)/(22)

2M = 18

M = 18 ÷ 2

M = 9

Solve for a. You must write your answer in fully simplified form
-14 = 4a

Answers

Answer:

a = -3 1/2

Step-by-step explanation:

To solve the equation for a, divide each side by 4.

-14 = 4a

-14/4 = 4a/4

-14/4 = a

Simplify the fraction by dividing the top and bottom by 2.

-7/2 =a

This is an improper fraction, so change to a mixed number.

2 goes into 7 3 times with 1 left over.

-7/2 = -3 1/2

a = -3 1/2

-14=4a

(-14)/(4)=(4a)/(4)

a=(-7)/(2)

An experiment compares weight of fish for two different brands fish food. Nacho Average Minosfish food has a mean fish weight 10 lbs. and a standard deviation of 1.5 lbs. Impossible Minos fish
food has a mean fish weight of 12 lbs. and a standard deviation of 1 lb. A fish is measured to be
11.25 lbs. Which brand of fish food, Nacho Average Minos or Impossible Minos, is more likely to have
been used to feed this fish?

Answers

Answer:

i'll see if a friend knows ill work on it

Step-by-step explanation:

Rob measured the height of an art frame as 5.12 feet, but the actual height was 6 feet. What is the percent of error in Rob's measurement

Answers

the answer is 14.67%

hope this helps

Answer:

14.67%

Step-by-step explanation:

put 6-5.12 over 6 (6-5.12/6)=

.88/6

divide .88 by 6=

.14666

Which of the following conditions must be met if you want to use a z-procedure to construct a confidence interval for a population proportion? A) The sample size must be small. B) The population standard deviation must be known. C) The population must be normally distributed. D) The sample must be random and sufficiently large.

Answers

To use a z-procedure to construct a confidence interval for a population proportion, the following conditions must be met:

D) The sample must be random and sufficiently large.

This means that the sample should be selected in a way that each individual has an equal chance of being included. Additionally, the sample size should be sufficiently large to ensure that the normal approximation for the sampling distribution of the sample proportion is valid.

It's important to have a random sample because it helps to ensure that the sample is representative of the population, making the results more reliable and generalizable.

As for the sample size, it should be large enough to satisfy the condition of having at least 10 successes and 10 failures. This ensures that the normal approximation can be applied.

The other answer choices, A) The sample size must be small, B) The population standard deviation must be known, and C) The population must be normally distributed, are incorrect and do not apply to the conditions for using a z-procedure to construct a confidence interval for a population proportion.

By meeting the conditions of having a random and sufficiently large sample, you can use a z-procedure to construct a confidence interval for a population proportion.Answer:

Step-by-step explanation:

Carl's Candies has determined that a candy bar measuring 3 inches long has a z-score of +1 and a candy bar measuring 3.75 inches long has a z-score of +2. What is the standard deviation of the length of candy bars produced at Carl's Candies?

Answers

Answer:

0.75 inches

Step-by-step explanation:

The value that has z=2 is 2 standard deviations from the mean. The value that has z=1 is 1 standard deviation from the mean. The difference between these two values is 1 standard deviation:

1 standard deviation = 3.75 in - 3 in = 0.75 in

Answer:

0.75

Step-by-step explanation: