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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 from negative infinity up to a given value of z. Therefore, if the area between z = 0 to z = 1 is 0.3413, then the area from negative infinity to z = 1 must be 0.3413 plus the area from negative infinity to z = 0, which is 0.5 (since the curve is symmetric around z = 0).
Thus, the CDF at z = 1 is 0.3413 + 0.5 = 0.8413.
This is because the CDF represents the area under the curve from negative infinity up to a given value of z. Therefore, if the area between z = 0 to z = 1 is 0.3413, then the area from negative infinity to z = 1 must be 0.3413 plus the area from negative infinity to z = 0, which is 0.5 (since the curve is symmetric around z = 0).
Thus, the CDF at z = 1 is 0.3413 + 0.5 = 0.8413.
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Community Answer
If the area of standard normal curve between z = 0 to z = 1 is 0.3413,...
Area between infinity to 0 + area between 0 to 1
= 0.5 +0.3413
= o.8413
= 0.5 +0.3413
= o.8413
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If the area of standard normal curve between z = 0 to z = 1 is 0.3413, then the value ofΦ (1) isa)0.5000b)0.8413c)-0.5000d)1Correct answer is option 'B'. Can you explain this answer?
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