Find the specified areas for a standard normal density. 1.a.The area below z = 0.8. b.The area above = 1.2. c. The area between z = -1 and z = 2

tricotasu

tricotasu

Answered question

2020-11-20

Find the specified areas for a standard normal density.
1.a.The area below z = 0.8.
b.The area above = 1.2.
c. The area between z = -1 and z = 2

Answer & Explanation

i1ziZ

i1ziZ

Skilled2020-11-21Added 92 answers

Step 1
The probability distribution curve of a normal random variable with a mean of 0 and a standard deviation of 1 is known as the standard normal curve. The total area under the standard normal curve is 1.
To determine the necessary probability, use a regular normal table or a z table.
(a) Observe the probability value in the z-table at 0.8 for z. The required area is 0.7881.
Hence,
P(z<0.8)=0.7881.
(b)
Look at the probability value for z in the z-table, which is 1.2. The required area is 0.8849. Subtract the obtained probability value from 1 to obtain the area right to 1.2.
Hence,
P(z>1.2)=10.8849=0.1151
Step 2
(C)
P(1<z<2)=P(z<2)P(z<1)
=0.9772[1P(z<1)]
=0.9772[10.8414]
=0.8185

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-11Added 2605 answers

Answer is given below (on video)

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