7. Murray spins the pointer of the spinner shown at the right a. What is the sample space for the probability model?
b. What is the probability of each event in the sample space?

a)

Sample Space of Probability model is - S' = { , , , }

b)

Probability of Event 1 , P(1) =

Probability of Event 2 , P(2) =

Probability of Event 3 , P(3) =

Probability of Event 4 , P(4) =

Step-by-step explanation:

Given - Murray spins the pointer of the spinner as shown .

To find - a. What is the sample space for the probability model?

              b. What is the probability of each event in the sample space?

Proof -

The Sample space is the set of all possible outcomes.

So,

Sample space becomes -

S = { 3, 5, A, Y, 3, 5, A, Y}

Total number of outcomes, n(S) = 8

Now,

We can see that There are 4 types of event

Event 1 : 3

Event 2 : 5

Event 3 : A

Event 4 : Y

So,

Probability of Event 1 , P(1) =

Probability of Event 2 , P(2) =

Probability of Event 3 , P(3) =

Probability of Event 4 , P(4) =

Now,

Sample Space of Probability model is -

S' = { , , , }

∴ we get

a)

Sample Space of Probability model is - S' = { , , , }

b)

Probability of Event 1 , P(1) =

Probability of Event 2 , P(2) =

Probability of Event 3 , P(3) =

Probability of Event 4 , P(4) =

13875138answer:

step-by-step explanation:

use a calculator!

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}