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zubka84 [21]
3 years ago
12

Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, A for a

sparagus, T for turkey, P for pepperoni, R for ranch, and V for vinaigrette.
When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: mushrooms, asparagus. Also, you will add one of following meats: turkey, pepperoni. Lastly, you will decide on one of the following dressings: ranch, vinaigrette.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
8 0

Answer:

Sample space = {(MTR), (MTV) (MPR) (MPV) (ATR) (ATV) (APR) (APV)}

Step-by-step explanation:

When they ask for the sample space they want to know all the possible combinations for:

Toppings                         Meats                      Dressings

M = Mushrooms              T = Turkey               R = Ranch

A = Asparagus                P = Pepperoni          V = Vinaigrette

The easiest way to see all the combinations is doing a tree diagram in which you put all the posible options, as in the image.

After that you just follow each of the lines to make all the posible combinations form which we get:

Sample space = {(MTR), (MTV) (MPR) (MPV) (ATR) (ATV) (APR) (APV)}

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Step-by-step explanation:

Perimeter = 11/4

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2<em>l</em> + 2(<em>l</em> - 5/4) = 11/4

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3 years ago
The probability distribution for the rate of return on an investment is
babymother [125]

Answer:

a)0.7

b) 10.03

c)  0.0801

Step-by-step explanation:

Rate of return   Probability

9.5                           0.1

9.8                           0.2

10                             0.3

10.2                          0.3

10.6                          0.1

a.

P(Rate of return is at least 10%)=P(R=10)+P(R=10.2)+P(R=10.6)

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P(Rate of return is at least 10%)=0.7

b)

Expected rate of return=E(x)=sum(x*p(x))

Rate of return(x)   Probability(p(x))    x*p(x)

9.5                           0.1                       0.95

9.8                           0.2                      1.96

10                             0.3                        3

10.2                          0.3                        3.06

10.6                          0.1                       1.06

Expected rate of return=E(x)=sum(x*p(x))

Expected rate of return=0.95+1.96+3+3.06+1.06=10.03

c)

variance of the rate of return=V(x)=sum(x^2p(x))-[sum(x*p(x))]^2

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9.5                           0.1                       0.95       9.025

9.8                           0.2                      1.96         19.208

10                             0.3                       3             30

10.2                          0.3                       3.06        31.212

10.6                          0.1                       1.06         11.236

sum[x²*p(x)]=9.025+19.208+30+31.212+11.236=100.681

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variance of the rate of return=V(x)=100.681-(10.03)²

variance of the rate of return=V(x)=100.681-100.6009

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....

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