1. Given a standard Normal Distribution, find the area under the curve which lie
ID: 3177875 • Letter: 1
Question
1. Given a standard Normal Distribution, find the area under the curve which lies?
a. to the left of z=1.96
b. to the right of z= -0.79
c. between z= -2.45 and z=-1.32
d. to the left of z=-1.39
e. to the right of z=1.96
f. between z=-2.3 and z=1.74
2. Find the value of z if the area under a standard normal curve?
a. to the right of z is .7389
b. to the left of z is .2431
3. Given a Normal Distribution with µ=60 and =10, find the probability that X assumes a value between 55 and 72?
4. Given a Normal Distribution with µ=300 and =50, find the probability that X assumes a value greater than 362?
Explanation / Answer
1. Given a standard Normal Distribution, find the area under the curve which lies?
a. to the left of z=1.96
Answer: 0.9750
b. to the right of z= -0.79
Answer: 0.2148
c. between z= -2.45 and z=-1.32
Answer: 0.0934 - 0.0071 = 0.0863
d. to the left of z=-1.39
Answer: 0.0823
e. to the right of z=-1.96
Answer: 0.0250
f. between z=-2.3 and z=1.74
Answer: 0.9591 - 0.0107 = 0.9484
2. Find the value of z if the area under a standard normal curve?
a. to the right of z is .7389
Answer : 0.64
b. to the left of z is .2431
Answer : -0.696 ~ 0.70
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