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3 years ago

5

Consider two events such that P(A)=3/4, P(B)=2/5 and P(AnB)=1/3. Are the events A and B independent?

1 answer:

posledela3 years ago

6 0

If P(A) times P(B) is equal to P(A n B), then that shows the events are independent. Otherwise, they are dependent. When I write "A n B", I mean "A intersect B". The intersect symbol looks similar to the lowercase letter n.

P(A)*P(B) = (3/4)*(2/5) = (3*2)/(4*5) = 6/20 = 3/10

Since that result is not the same as P(A n B) = 1/3, this means that the events are not independent. They are dependent events. The answer is choice D

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kati45 [8]

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Step-by-step explanation:

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3 years ago

Your family goes to a Southern-style restaurant for dinner. There are 7 people in your family. Some order the chicken dinner for

butalik [34]

Answer:

a) 4 people ordered streak dinner

b) 3 people ordered chicken dinner

Step-by-step explanation:

Let the number of people that ordered steak dinner be x

and the number of people that ordered chicken dinner be y

From the question,

There are 7 people in your family

Hence, we can write that

x + y = 7 ...... (1)

Also from the question

Some order the chicken dinner for $13 and some order the steak dinner for $18 and the total bill was $111.

We can then write that

13y + 18x = 111 ...... (2)

From equation (1)

x + y = 7

Then,

x = 7 - y ...... (3)

Put this into equation (2)

13y + 18x = 111

13y + 18(7 - y) = 111

13y + 126 - 18y = 111

-5y = -15

5y = 15

y = 15 / 5

y = 3

Put the value of y into equation (3) to get x

x = 7 - y

Then

x = 7 - 3

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Hence, 4 people ordered streak dinner

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2 years ago

If csc x = −5, find csc(−x) find the period and horizontal shift

ella [17]

Answer:

$\csc (-x) = - \csc x = - ( - 5) = 5$

Period is 2π

Horizontal shift = 0

Step-by-step explanation:

We know that $\sin (-x) = - \sin x$ and as $\csc x = \frac{1}{\sin x}$ , so, we can write $\csc (-x) = - \csc x$

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Now, the period of $\csc x$ is 2π, hence the period of $\csc (- x)$ is also 2π. (Answer)

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