Answer:
a) z = 1.96
b) z = 1.96
c) z = 0.61
d) z = 1.12
e) z = 0.44
f) z = 0.44
Step-by-step explanation:
a. The area to the left of z is .9750.
This is gotten by determining the z score which gives a probability of 0.9750, This can be gotten from the z table
We get z = 1.96
Therefore, a z score of 1.96 gives a probability of 0.9750
b. The area between 0 and z is .4750
Since the area between 0 and z is .4750, then the area to the left of z = 0.4750 + 0.500 = 0.9750.
This is gotten by determining the z score which gives a probability of 0.9750, This can be gotten from the z table
We get z = 1.96
Therefore, a z score of 1.96 gives a probability of 0.9750
c. The area to the left of z is .7291.
This is gotten by determining the z score which gives a probability of 0.7291, This can be gotten from the z table
We get z = 0.61
Therefore, a z score of 0.61 gives a probability of 0.7291
d. The area to the right of z is .1314
Since the area to the right of z is 0.1314, then the area to the left of z = 1 - 0.1314 = 0.8686
This is gotten by determining the z score which gives a probability of 0.8686, This can be gotten from the z table
We get z = 1.12
Therefore, a z score of 1.12 gives a probability of 0.8686
e. The area to the left of z is .6700
This is gotten by determining the z score which gives a probability of 0.6700, This can be gotten from the z table
We get z = 0.44
Therefore, a z score of 0.44 gives a probability of 0.6700
f. The area to the right of z is .3300.
Since the area to the right of z is 0.1314, then the area to the left of z = 1 - 0.3300 = 0.6700
This is gotten by determining the z score which gives a probability of 0.6700, This can be gotten from the z table
We get z = 0.44
Therefore, a z score of 0.44 gives a probability of 0.6700
