1.
Use the Z table to find the probability associated with each of the following areas under a normal curve:
a. Above a z-score of 1.67
b.Above a z-score of–1.35
Solution:
a)
Area above a z-score of 1.67
= P(Z > 1.67)
= 1 - P(Z < 1.67)
= 1 - 0.9525
= 0.0475
b)
Area above a z-score of–1.35
= P(Z > -1.35)
= 1 - P(Z < -1.35)
= 1 - 0.0885
= 0.9115
1. Use the Z table to find the probability associated with each of the following areas...
Use the table of areas under the standard normal curve to find the probability that a z-score from the standard normal distribution will lie within the interval. (Round your answer to four decimal places.) z > 3
Use the table of areas under the standard normal curve to find the probability that a z-score from the standard normal distribution will lie within the interval. (Round your answer to four decimal places.) 0 ≤ z ≤ 1.5 −0.8 ≤ z ≤ 0 −0.8 ≤ z ≤ −0.6 −1.6 ≤ z ≤ 2.4
Use a table of areas for the standard normal curve to find the required z-score. 5) Find the z-score having area 0.09 to its left under the standard normal curve.
Use a table of cumulative areas under the normal curve to find the z-score that corresponds to the given cumulative area. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score.0.049The cumulative area corresponds to the z-score of _______
Use a table of cumulative areas under the normal curve to find the z-score that corresponds to the given cumulative area. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score.0.053Click to view page 1 of the table. Click to view page 2 of the table.The cumulative area corresponds to the...
1) Given a standard normal distribution, find the probability of having a z score higher than 1.67 ```{r} ``` 2) Given that test scores for a class are normally distributed with a mean of 80 and variance 36, find the probability that a test score is lower than a 45. ```{r} ``` 3) Given a standard normal distribution, find the Z score associated with a probability of .888 ```{r} ``` 4) Find the Z score associated with the 33rd quantile...
Determine the following standard normal (z) curve areas. (Use a table or technology. Round your answers to four decimal places.) (a) the area under the z curve to the left of 1.74 (b) the area under the z curve to the left of -0.67 (c) the area under the z curve to the right of 1.10 (d) the area under the z curve to the right of -2.81 (e) the area under the z curve between -2.22 and 0.53 (f)...
Use the Normal z-table to find the associated probability: (round your answer to four decimal places) P(Z=-1.39)
Suppose 16 coins are tossed. Use the normal curve approximation to the binomial distribution to find the probability of getting the following result. More than 8 tails. Use the table of areas under the standard normal curve given below. Click here to view page 1. Click here to view page 2. Click here to view page 3 Click here to view page 4. Click here to view page 5. Click here to view page 6 page 5. Click here to...
Use Table C.1 in the Appendix to find the value of the probability of the standard normal variable Z corresponding to the shaded area under the standard normal curve. (Round your answer to four decimal places.) P(Z > 1.47) x Enter a number. 1.47