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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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Suppose that, on average, electricians earn approximately μ= $54,000 per year in the united states. Assume that the distribution
11111nata11111 [884]

Answer:

0.15866.

Step-by-step explanation:

We have been given that on average, electricians earn approximately μ= $54,000 per year in the united states. Assume that the distribution for electricians' yearly earnings is normally distributed and that the standard deviation is σ= $12,000. We are asked to find the probability that the sample mean is greater than $66,000.

First of all, we will find the z-score corresponding to 66,000 using z-score formula.

z=\frac{x-\mu}{\sigma}

z=\frac{66000-54000}{12000}

z=\frac{12000}{12000}

z=1

Now, we need to find the probability that z-score is greater than 1 that is P(z>1).

Upon using formula P(z>A)=1-P(z, we will get:

P(z>1)=1-P(z

Upon using normal distribution table, we will get:

P(z>1)=1-0.84134

P(z>1)=0.15866

Therefore, the probability that the sample mean is greater than $66,000 would be 0.15866 or approximately 15.87\%.

4 0
3 years ago
The arrival of the city busses that trundle down my street is Poisson distributed. According to the published schedule, they arr
joja [24]

Answer:

There is a 3.33% probability that exactly two such busses arrive within 3 minutes of each other.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

What is the probability that exactly two such busses arrive within 3 minutes of each other

The mean is one bus each 10 minutes. So for 3 minutes, the mean is 3/10 = 0.3 buses. So we use \mu = 0.3

This probability is P(X = 2).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 2) = \frac{e^{-0.3}*(0.3)^{2}}{(2)!} = 0.0333

There is a 3.33% probability that exactly two such busses arrive within 3 minutes of each other.

5 0
3 years ago
Use a table to find the solution of each equation.
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Step-by-step explanation:

1.If the number 1 is:0=4-2y

y=2

2.b=-2

3.n=3

4 0
3 years ago
Nelda baked two kinds of pasta in pans. Each pan was the same size. She sliced one pan of pasta into 4 equal pieces. She sliced
expeople1 [14]

Answer:

6 equal parts;  8 equal parts

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Nelda will cut each 1%2F6 in 4 equal pieces to get 1%2F24.

She also will cut each 1%2F8 in 3 equal pieces to get 1%2F24.

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Rashid [163]
-19 is the answer!!!!!!!
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