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yulyashka [42]
3 years ago
11

The compound probability of two events, E and F, is ; the probability of E is and of F is . In two or more complete sentences, e

xplain why E and F are not independent.
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer:

Events E and F are not independent if the probability of event E occurring is affecting the probability of event F occurring.

Step-by-step explanation:

Two events are independent when the probability of one event occurring has no connection with that of the other event.

Example, when you toss a coin and roll a six sided die, the probability of getting a head or a tail has no connection with the probability of getting any number face.A real life example will be the probability going to the mall and owning a cat at home.These two have no influence on one another.

Mathematically independent events can be calculated as;

P(E∩F)=P(E)-P(F)

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The world's population has grown at an average rate of 1.9 percent per year since 1945. There were approximately 4 billion peopl
kkurt [141]

Answer:  f(t) = 4000000000( 1 .019)^t

Step-by-step explanation:

Here, According to the question,  The population of the world is 4 billion (approx).

Again According to the question, The world's population has grown at an average rate of 1.9 percent per year since 1945.

Therefore, after 1975 the growth rate will remains same.

Thus, the population of the world after t years,

f(t) = 4000000000( 1+\frac{1.9}{100} )^t   (By the formula A = P(1+\frac{r}{100})^t )

⇒f(t) = 4000000000( 1.019 )^t

Where 1.019 is the growth rate and 4 billion is the initial population.


6 0
3 years ago
g In the sample of 134 South Korean tourists, 57 of them were satisfied with their Jeju experience. In the sample of 150 other c
nasty-shy [4]

Answer:

The test statistic = -0.93

Step-by-step explanation:

The test statistic is given by the formula

z = (X₁ - X₂) ÷ √(σₓ₁² + σₓ₂²)

where X₁ = proportion of data of South Korean tourists = (57/134) = 0.425

X₂ = proportion of other country tourists = (72/150) = 0.48

σₓ₁ = standard error in data 1 = √[p(1-p)/n]

= √(0.425 × 0.575/134) = 0.0427

σₓ₂ = standard error in data 2 = √[p(1-p)/n]

= √(0.48 × 0.52/150) = 0.0408

z = (X₁ - X₂) ÷ √(σₓ₁² + σₓ₂²)

z = (0.425 - 0.48) ÷ √(0.0427² + 0.0408²)

z = -0.055 ÷ 0.0590586996

z = -0.9313

Hope this Helps!!!

6 0
3 years ago
What's 5-n? Is it some number less then five? Or five less than some number
mezya [45]
It's a number less than 5.
5 0
3 years ago
Can someone plsss help me?!
MAXImum [283]

Answer:

Angle A is 101

Angle B is 79

Angle C is 83

Angle D is 97

Step-by-step explanation:

Vertical angles are congruent, which applies to C.

Lines are parallel so 79 and angle B are the same

Angle a is 101 because its a supplementary angle

Angle D is 97 because its also a supplementary angle so you subtract 83 from 180.

3 0
2 years ago
-t=9t(t-10) Im stuck
viva [34]
T=0 is also a solution. Other than 0 here is a solution.
7 0
3 years ago
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