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QA › Math › Which of the following probabilities is the greatest for a standard normal distribution?

Which of the following probabilities is the greatest for a standard normal distribution?

A. p(-1.5≤z≤-0.5)

B. p(-0.5≤z≤0.5)

C. p(0.5≤z≤1.5)

D. p(1.5≤z≤2.5)

Answer: B. p(-0.5≤z≤0.5)

Using the picture of normal distribution, it is noticed that all internals listed in the option are 1 unit long option B is the interval which covers the most area of 34%. With this, it is seen that p(-05<z<0.5) covers 34% of the area which means it has a probability of 34%. All other intervals are less than 34%.

Math

3 years ago

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