Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts a. What is the probability that Z is between - 1.52 and 1.85? The probability that Z is between - 1.52 and 1.85 is 0.9036 . (Round to four decimal places as needed.) b. What is the probability that Z is less than - 1.52 or greater than 1.85? The probability that Z is less than - 1.52 or greater than 1.85 is 0.0964 . (Round to four decimal places as needed.) c. What is the value of Z if only 10% of all possible Z values are larger? The value of Z if only 10% of all possible Z values are larger is . (Round to two decimal places as needed.)
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52 and 1.85, we need to find the area under the curve between these two values. We can do this by finding the cumulative probability at 1.85 and subtracting the cumulative probability at 1.52. Using the cumulative standardized normal distribution table, we find Show moreā¦
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Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d) below. a. What is the probability that Z is between -1.56 and 1.85? The probability that Z is between -1.56 and 1.85 is (Round to four decimal places as needed.) b. What is the probability that Z is less than -1.56 or greater than 1.85? The probability that Z is less than -1.56 or greater than 1.85 is (Round to four decimal places as needed.) c. What is the value of Z if only 4% of all possible Z values are larger? The value of Z if only 4% of all possible Z values are larger is (Round to two decimal places as needed.) d. Between what two values of Z (symmetrically distributed around the mean) will 68.26% of all possible Z values be contained? The two values of Z for which 68.26% of all possible Z values are contained between are and (Use ascending order. Round to two decimal places as needed.)
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