Question

In: Statistics and Probability

Determine the area under the standard normal curve that lies to the left of ​(a) Upper...

Determine the area under the standard normal curve that lies to the left of ​(a) Upper Z equals 0.53 comma ​(b) Upper Z equals 0.24​, ​(c) Upper Z equals 1.08​, and ​(d) Upper Z equals negative 1.39. ​(a) The area to the left of Zequals0.53 is

Solutions

Expert Solution

The area that lies below the Z score of a standard normal curve is the probability of the score that has the corresponding Z score.

This area can be calculated using the excel formula for normal distribution which takes the Z score as a parameter.

a) At Z = 0.53, the excel formula used is =NORM.S.DIST(0.53, TRUE), thus the probability score is computed as:

Probability = 0.7019

b) At Z = 0.0.24, the excel formula used is =NORM.S.DIST(0.24, TRUE), thus the probability score is computed as:

Probability = 0.5948

c) At Z = 1.08, the excel formula used is =NORM.S.DIST(1.08, TRUE), thus the probability score is computed as:

Probability = 0.8599

d) At Z = -1.39, the excel formula used is =NORM.S.DIST(-1.39, TRUE), thus the probability score is computed as:

Probability = 0.0823

The probabilities can also be calculated using the Z score table that is;

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Determine the area under the standard normal curve that lies to the left of ​(a) Upper...
Determine the area under the standard normal curve that lies to the left of ​(a) Upper Z equals 0.08 commaZ=0.08, ​(b) Upper Z equals 0.51Z=0.51​, ​(c) Upper Z equals negative 1.15Z=−1.15​, and ​(d) Upper Z equals 0.56Z=0.56. ​(a) The area to the left of Zequals=0.080.08 is   nothing. ​(Round to four decimal places as​ needed
Determine the area under the standard normal curve that lies to the right of ​(a) Upper...
Determine the area under the standard normal curve that lies to the right of ​(a) Upper Z equals negative 1.84 commaZ=−1.84, ​(b) Upper Z equals 1.58 commaZ=1.58, ​(c) Upper Z equals 1.14 commaZ=1.14, and ​(d) Upper Z equals 0.46 .Z=0.46.
Determine the area under the standard normal curve that lies to the left of a) Z=...
Determine the area under the standard normal curve that lies to the left of a) Z= -0.08 b) Z= 1.39 c) Z= -0.77 d) Z= 0.91
Determine the area under the standard normal curve that lies to the left of ​(a) Z...
Determine the area under the standard normal curve that lies to the left of ​(a) Z equals 0.19 Z=0.19, ​(b) Z equals negative 0.85 Z=−0.85​, ​(c) Z equals negative 0.04 Z=−0.04​, and ​(d) Z equals 1.22 Z=1.22.
Find the area under the standard normal curve that lies: To the left of 1.54 To...
Find the area under the standard normal curve that lies: To the left of 1.54 To the right of – 0.95 Between – 0.44 and 1.18
5, Determine the area under the standard normal curve that lies to the right of ​(a)...
5, Determine the area under the standard normal curve that lies to the right of ​(a) Z = -0.95 , ​(b) Z=0.53, ​(c)  Z =−0.05, and ​(d) Z =−0.89. ​(a) The area to the right of Z=−0.95 is ____. ​(Round to four decimal places as​ needed.) ​(b) The area to the right of Z=0.53 is _____. ​(Round to four decimal places as​ needed.) ​(c) The area to the right of Z=−0.05 is _____. ​(Round to four decimal places as​ needed.) ​(d)...
Determine the area under the standard normal curve that lies between the following values z=0.2 and...
Determine the area under the standard normal curve that lies between the following values z=0.2 and z=1.4
Determine the area under the standard normal curve that lies between: a. z= -.31 and z=1.61...
Determine the area under the standard normal curve that lies between: a. z= -.31 and z=1.61 b. z=-2.01 and z=.26 c. z=-1.20 and z=2.11 d. z=1.92 and z=2.43 Find the value of za a. z.56= b. Z.23= c. Z.81= d. Z.06=
Given a standard normal distribution, find the area under the curve that lies (a) to the...
Given a standard normal distribution, find the area under the curve that lies (a) to the right of z=1.25; (b) to the left of z= -0.4; (c) to the left of z= 0.8; (d) between z=0.4 and z=1.3; (e) between z= -0.3 and z= 0.9; and (f) outside z= -1.5 to z= 1.5.
find z such that 16% of the area under the standard normal curve lies to the...
find z such that 16% of the area under the standard normal curve lies to the right of z.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT