Which of the following probabilities is equal to approximately 0.2957?
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Which of the following probabilities is equal to approximately 0.2957?
Answer with explanation:
Option A
.→ P(-1.25 ≤ Z ≤ 0.25)
P(Z= -1.25)= 0.10565
P(Z=0.25)=0.59871
So Area between , P(-1.25≤ Z ≤ 0.25)= 0.59871 - 0.10565
= 0.49306≠ 0.2957
Option B
→ P(-1.25 ≤ Z ≤ 0.75)
P(Z= -1.25)= 0.10565
P(Z=0.75)=0.77337
So Area between , P(-1.25 ≤ Z ≤ 0.75)= 0.77337 - 0.10565
= 0.66772≠ 0.2957
Option C
→ P(0.25 ≤ Z ≤ 1.25)
P(Z= 0.25)= 0.59871
P(Z=1.25)=0.89435
So Area between , P(0.25 ≤ Z ≤ 1.25)= 0.89435 - 0.59871
= 0.29564= 0.2957
Option D
→ P(0.75 ≤ Z ≤ 1.25)
P(Z= 1.25)= 0.89435
P(Z=0.75)=0.77337
So Area between , P(0.75 ≤ Z ≤ 1.25)= 0.89435 - 0.77337
= 0.12098
= 0.49306≠ 0.2957
Option C: P(0.25 ≤ Z ≤ 1.25)=0.2957