answer:Apologies for the mistake in my previous response. Let's rectify it: To find c, we need to find the z-score that corresponds to a cumulative probability of P(z > c) = 0.6291. Since the standard normal distribution is symmetric, we can find the z-score corresponding to a cumulative probability of 1 - 0.6291 = 0.3709. This z-score represents the area under the curve to the right of z = c. Using a standard normal distribution table or calculator, we can find the z-score that corresponds to a cumulative probability of 0.3709. The z-score is approximately -0.34. Therefore, c ≈ -0.34 (rounded to four decimal places).

answer:Apologies for the repeated errors. Let's correct it: To find c, we need to find the z-score that corresponds to a cumulative probability of P(z > c) = 0.6291. Since the standard normal distribution is symmetric, we can instead find the z-score corresponding to a cumulative probability of 1 - 0.6291 = 0.3709. This z-score represents the area under the curve to the left of z = c. Using a standard normal distribution table or calculator, we can look up the z-score that corresponds to a cumulative probability of 0.3709. The z-score is approximately -0.32. Therefore, c ≈ -0.32 (rounded to four decimal places).

answer:To find c, we need to find the z-score that corresponds to a cumulative probability of P(z < c) = 0.3826. Using a standard normal distribution table or calculator, we can find the z-score that corresponds to a cumulative probability of 0.3826. The z-score is approximately -0.31. Therefore, c ≈ -0.31 (rounded to four decimal places).

answer:Apologies for the mistake in my previous response. Let's re-evaluate it: To find c, we need to find the z-score that corresponds to a cumulative probability of P(z < c) = 0.3826. Since the standard normal distribution is symmetric, we can find the z-score corresponding to a cumulative probability of 0.3826. This z-score represents the area under the curve to the left of z = c. Using a standard normal distribution table or calculator, we can look up the z-score that corresponds to a cumulative probability of 0.3826. The z-score is approximately -0.2937. Therefore, c ≈ -0.2937 (rounded to four decimal places).