Question

Find the probability that -0.3203 <= Z <= -0.0287 Find the probability that -0.5156 <= Z <= 1.4215

Find the probability that 0.1269 <= Z <= 0.6772

Answer 1

`\text{1) }0.1141814`

`\text{2) }0.6193473`

`\text{3) }0.2003702`

Explanation:

`\text{1) }P(-0.3203\leq Z \leq-0.0287)=P(Z\leq -0.0287)-P(Z\leq-0.3203)\\\\=0.4885519-0.3743705\\\\=0.1141814`

`\text{2) }P( -0.5156 \leq Z \leq1.4215)=P(Z\leq 1.4215)-P(Z\leq -0.5156 )\\\\=0.9224142-0.3030669\\\\=0.6193473`

`\text{3) }P(0.1269\leq Z \leq0.6772)=P(Z\leq 0.6772)-P(Z\leq-0.1269)\\\\=0.7508604- 0.5504902\\\\=0.2003702`