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Given that z is a standard normal random variable, compute the following probabilities.P(z ≥ -1.44)Question 2Select one:a.0.7490b.0.9251c.0.0749d.0.5251

Question

Given that z is a standard normal random variable, compute the following probabilities.

P(z ≥ -1.44)
Question 2
Select one:

  • a. 0.7490
  • b. 0.9251
  • c. 0.0749
  • d. 0.5251
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Solution

To solve this problem, we need to understand that the standard normal distribution has a mean of 0 and a standard deviation of 1. The z-score tells us how many standard deviations away from the mean a value is.

The question asks for the probability that z is greater than or equal to -1.44. In terms of the standard normal distribution, this is the area to the right of -1.44.

We can find this probability using a standard normal distribution table, which gives the probability that a standard normal random variable is less than a given value.

Looking up a z-score of -1.44 in the table, we find a probability of approximately 0.0749. However, this is the probability that z is less than -1.44.

To find the probability that z is greater than or equal to -1.44, we need to subtract the value we found from 1 (because the total probability under the standard normal curve is 1).

So, 1 - 0.0749 = 0.9251.

Therefore, the answer is b. 0.9251.

This problem has been solved

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