3 years ago

What probability expression is equivalent to P( / z / > 1.96)?

Mathematics

1 answer:

Sonbull [250]3 years ago

6 0

Answer:

Please check the explanation.

Step-by-step explanation:

Given

P(Z > 1.96)

To determine

What probability expression is equivalent to P(Z > 1.96)

Suppose Z is a standard normal variable.

Therefore,

P(Z > 1.96) = 1 - P(Z ≤ 1.96)

solving

= 1 - Ф(1.96)

= 1 - 0.9750

= 0.0250

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An office room is 12 ft by 10 ft with a door that is 30 inches wide. How many feet of baseboard are needed to go around the room

Lina20 [59]

Draw a diagram to illustrate the problem as shown below.
The length of baseboard needed is AB + BC + CD + DE + FE.
Note that 30 in = 30/12 ft = 2.5 ft.

Because of the door opening,
AB + EF = 12 - 2.5 = 9.5 ft
Also,
BC = DE = 10 ft
CD = 12 ft.

The amount of baseboard needed is
AB + BC + CD + DE + FE
= (AB + EF) + BC + CD + DE
= 9.5 + 10 + 12 + 10
= 41.5 ft

Answer:
41.5 feet of baseboard.