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Statistics
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Let x ∼ n(2, 9). Calculate the following probabilities.

a) P(X > 2)

b) P(1 < X < 7)

c) P(-2.5 < X < -1)

d) P(-3 < X-2 < 3)

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Jesús
JesúsLv7
9 Mar 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

The joint probability density function of X and Y is given by

f(x,y)={e-(x+y)   for X>0, y>0      and    0   elsewhere

A. Find the marginal density of X

B. Find the marginal density of Y

C. Find the Conditional density of X given Y

D. Are random variables X and Y independent? State the reason of your answer.

E. Find P(X<.5, y<.5)

F. Find P(X=.5, y<.5)

Look at the following LP Formulation and identify the parts of the problem by using the matching options below.

-----------------------------------------------------------------------

x = the # of product 1 units made

y = the # of product 2 units made

Max Z = 3x + 4y

S.T.

Raw Materials Constraint 2x + 5y <= 25 pounds

Processing Time Constraint 4x + 1y <= 480 minutes

Non-negativity Constraints x, y >= 0 units

-----------------------------------------------------------------------

4x + 1y <= 480 minutes

Answer 1

x = the # of product 1 units made

y = the # of product 2 units made

Answer 2

Raw Materials Constraint

Answer 3

x, y >= 0 units

Answer 4

pounds, minutes, units

Answer 5

Max Z = 3x + 4y

Answer 6

cr + k if x < 2 (c) If f(x) = { 22 + bx if x > 2 | , find the values — if any — of constants b, c, k such that f is differentiable and f'(1) = 3. ANSWER ONLY

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