Show work please, 1, a-c 1. a) About _____% of the area under the curve of the s

Question

Show work please, 1, a-c

1.

a) About _____% of the area under the curve of the standard normal distribution is between z=?0.761z=-0.761 and z=0.761z=0.761 (or within 0.761 standard deviations of the mean).

b) About _____% of the area under the curve of the standard normal distribution is outside the interval z=[?2.28,2.28]z=[-2.28,2.28] (or beyond 2.28 standard deviations of the mean).

c) About _____% of the area under the curve of the standard normal distribution is outside the interval z=[?3.14,3.14]z=[-3.14,3.14] (or beyond 3.14 standard deviations of the mean).

Explanation / Answer

a) P(-0.761 < Z < 0.761)

= P(Z < 0.761) - P(Z < -0.761)

= 0.7764 - 0.2236

= 0.5528 = 55.28%

b) P(-2.28 < Z < 2.28)

= P(Z < 2.28) - P(Z < -2.28)

= 0.9887 - 0.0113

= 0.9774 = 97.74%

c) P(-3.14 < Z < 3.14)

= P(Z < 3.14) - P(Z < -3.14)

= 0.9992 - 0.0008

= 0.9984 = 99.84%

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.