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kompoz [17]
2 years ago
12

What is the mean of the normal distribution shown below?

Mathematics
2 answers:
tensa zangetsu [6.8K]2 years ago
5 0

We have been given a graph of a normal distributed data and we are asked to find the mean from our graph.

Since we know that a normal distribution is a bell shaped curve, perfectly symmetric around its center. The density curve is symmetric about mean. In a normal distribution mean, median and mode are equal.

We can see from our graph that our graph is symmetric about 4. The center of graph is 4, therefore, mean of our data is 4.    

 


Dovator [93]2 years ago
5 0

4 is the answer because it shows it in the photo. you're welcome, no need to thank me.

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Answer:

a) not independent

b) not mutually exclusive

Step-by-step explanation:

Given:

- A 6 sided die is rolled

- Event A is rolling an even number

- Event B is rolling a prime number

Find

- (a) Are A and B independent events?

- (b) Are A and B mutually exclusive events?

Solution:

- We will find the probability of each event:

                       set(Even number: A) = {2, 4, 6} = 3 outcomes

                       set(Prime number: B) = {2 , 3, 5} = 3 outcomes

- The probabilities are:

                        P(A) = 3/6 = 0.5

                        P(B) = 3/6 = 0.5

- For Event A and B to be independent then the following condition must match:

                        P ( A & B ) = P(A)*P(B)

                        set (A&B) = {2} = 1 outcome

                        P(A&B) = 1/6

                        1 / 6 = 0.5*0.5

                        1/6 = 0.25         ...... NOT INDEPENDENT

- For Event A and B to be mutually exclusive then the following condition must match:

                        P(A&B) = 0

                        P(A&B) = 1/6

Hence, we can say the events are NOT MUTUALLY EXCLUSIVE

7 0
2 years ago
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Step-by-step explanation:

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