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If the area of standard normal curve between z = 0 to z = 1 is 0.3413, then the value of φ (1) is
- a)0.5000.
- b)0.8413.
- c)–0.5000.
- d)1.
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If the area of standard normal curve between z = 0 to z = 1 is 0.3413,...
The cumulative distribution function (CDF) at z = 1 is 0.8413.
This is because the CDF represents the area under the curve to the left of a given z-value. So, if the area between z = 0 to z = 1 is 0.3413, then the area to the left of z = 1 (which includes the area between z = 0 to z = 1) is 0.3413 + 0.5 (since the total area under the curve is 1 and the curve is symmetrical around z = 0).
Therefore, the CDF at z = 1 is 0.8413 (which is the same as saying that the probability of getting a z-value less than or equal to 1 is 0.8413).
This is because the CDF represents the area under the curve to the left of a given z-value. So, if the area between z = 0 to z = 1 is 0.3413, then the area to the left of z = 1 (which includes the area between z = 0 to z = 1) is 0.3413 + 0.5 (since the total area under the curve is 1 and the curve is symmetrical around z = 0).
Therefore, the CDF at z = 1 is 0.8413 (which is the same as saying that the probability of getting a z-value less than or equal to 1 is 0.8413).
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If the area of standard normal curve between z = 0 to z = 1 is 0.3413, then the value of φ (1) isa)0.5000.b)0.8413.c)–0.5000.d)1.Correct answer is option 'B'. Can you explain this answer?
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