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Compute the following probabilities:            a. If Y is distributed N(1,4), find P(Y < 2). b....

Compute the following probabilities:

          

a. If Y is distributed N(1,4), find P(Y < 2).

b. If Y is distributed N(3,9), find P(Y > 1).

c. If Y is distributed N(50, 25), find P(40 < Y < 52).

Math   Statistics-And-Probability   
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Answer #1

Solution: a. If Y is distributed N(1,4), find P(Y < 2).

Answer: We will find the z score corresponding to .

  

  

Now we have to find the . Using the standard normal table we have:

b. If Y is distributed N(3,9), find P(Y > 1).

Answer: We will find the z score corresponding to .

  

  

Now we have to find the . Using the standard normal table we have:

c. If Y is distributed N(50, 25), find P(40 < Y < 52).

Answer: We will find the z score corresponding to .

  

  

Now the z score corresponding to

  

  

Now we have to find the . Using the standard normal table we have:

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