which of the following statements is equivalent to p(z < -2.1)? p(z > -2.1) 1 - p(z < 2.1) p(z < 2.1) 1…

which of the following statements is equivalent to p(z < -2.1)? p(z > -2.1) 1 - p(z < 2.1) p(z < 2.1) 1 - p(z > 2.1) use the answer from the previous task to determine p(z < -2.1). 0.0179 0.5832 0.9821 1

which of the following statements is equivalent to p(z < -2.1)? p(z > -2.1) 1 - p(z < 2.1) p(z < 2.1) 1 - p(z > 2.1) use the answer from the previous task to determine p(z < -2.1). 0.0179 0.5832 0.9821 1

Answer

Explanation:

Step1: Recall properties of standard - normal distribution

The total area under the standard - normal curve is 1. Also, the standard - normal distribution is symmetric about (z = 0). So, (P(Z\lt - z)=1 - P(Z\lt z)). Here (z = 2.1), and (P(Z\lt - 2.1)=1 - P(Z\lt2.1)).

Step2: Use standard - normal table

Looking up the value of (P(Z\lt2.1)) in the standard - normal table, we find that (P(Z\lt2.1)=0.9821). Then (P(Z\lt - 2.1)=1 - 0.9821=0.0179).

Answer:

For the first part: 1 - (P(z\lt2.1)) For the second part: 0.0179