For a standard normal distribution, the probability of obtaining a z value between -1.9 to 1.7 isQuestion 3Select one:a.0.9267b.1.254c.0.4267d.1.42670.5000
Question
For a standard normal distribution, the probability of obtaining a z value between -1.9 to 1.7 is
Question 3
Select one:
- a. 0.9267
- b. 1.254
- c. 0.4267
- d. 1.4267
- 0.5000
Solution
To answer this question, we need to understand that a standard normal distribution has a mean of 0 and a standard deviation of 1. The z-score tells us how many standard deviations away a value is from the mean.
The probability of obtaining a z value between -1.9 to 1.7 is found by looking up these values in the z-table (also known as the standard normal distribution table) and subtracting the probabilities.
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Look up the z-score for 1.7 in the z-table. The value is approximately 0.9554. This means that about 95.54% of the data falls below a z-score of 1.7.
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Next, look up the z-score for -1.9 in the z-table. The value is approximately 0.0287. This means that about 2.87% of the data falls below a z-score of -1.9.
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Subtract the two probabilities: 0.9554 - 0.0287 = 0.9267.
So, the probability of obtaining a z value between -1.9 to 1.7 in a standard normal distribution is approximately 0.9267. Therefore, the correct answer is a. 0.9267.
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