Question A random sample of college students majoring in cinematography were surveyed about their movie habits. One question in
the survey asked, "How many documentaries have you watched in the past month?" The table below represents the
probability density function for the random variable X, the number of documentaries watched by cinematography majors in
the past month. Find the standard deviation of X.
• Round the final answer to two decimal places.
X
P(X = x)
1/5
4
6
2/5
8
2/5
Provide your answer below:
Ok

30

step-by-step explanation:

times by times

step-by-step explanation:

b and c

we can't see all full 4 options, but if this is the full option, than the very left one is correct:

-2/5 * -3 3/4

remake the question, adding a picture of all the question, or write down the full left and right answers.

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.