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Pavel [41]
3 years ago
13

Helpppp plzzz Maddie is packing for a trip. in her closet,there are 3 red, 4 black, 2 green, and 2 yellow blouses. She randomly

selects 2 blouses. Find each probability. 1. P(black and yellow) 2. P(green and green
Mathematics
2 answers:
nydimaria [60]3 years ago
8 0
1. P(black and yellow)

morpeh [17]3 years ago
3 0

Total number of ways to choose 2 blouses = 11*10= 110

P(black and yellow) = (4C1 * 2C1)/110 = 8/110

P(green and green) = 1/110

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A piece of fabric shaped as a trapezoid has a
Grace [21]

Answer:

Area of the fabric = 175 square inches

Step-by-step explanation:

Area of a trapezoid = (b1 + b2)/2 * h

Where,

b1 = 16 inches

b2 = 9 inches

h = 14 inches

Area of a trapezoid = (b1 + b2)/2 * h

= (16 + 9)/2 * 14

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Thetime(inhours)requiredtorepairamachineis an exponentially distributed random variable with parameter λ = 1 . What is 2 (a) the
mihalych1998 [28]

Answer:

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Step-by-step explanation:

Let's start by defining the random variable T.

T : ''The time (in hours) required to repair a machine''

T ~ exp (λ)

T ~ exp (1)

The probability density function for the exponential distribution is

(In the equation I replaced λ = L)

f(x)=Le^{-Lx}

With L > 0 and x ≥ 0

In this exercise λ = 1 ⇒

f(x)=e^{-x}

For a)

P(T>2)

P(T>2)=1-P(T\leq 2)

P(T>2)=1-\int\limits^2_0 {e^{-x} } \, dx

P(T>2)=1-(-e^{-2}+1)

P(T>2)=e^{-2}=0.1353

For b)

P(T\geq 10/T>9)

The event (T ≥ 10 / T > 9) is equivalent to the event T ≥ 1 so they have the same probability of occur

P(T\geq 10/T>9)=P(T\geq 1)

P(T\geq 1)=1-P(T

P(T\geq 1)=1-(-e^{-1}+1)=e^{-1}=0.3679

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