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zhuklara [117]
3 years ago
9

2. What is the probability of selling between and including one and four silver cars? Interpret this probability in context.

Mathematics
1 answer:
gladu [14]3 years ago
3 0

Answer:

0.72868

Problem Statement:

23% of the cars a certain automaker manufactures are silver. Below is the probability distribution for the number of

silver cars sold by a car dealer in the next five car sales.

No. of  Silver Cars    0             1             2              3              4             5

Probability         0.27068   0.40426  0.24151  0.07214  0.01077  0.00064

Step-by-step explanation:

To find the probability that the dealer sells between one and four silver cars, we need to add the probabilities of him selling 1,2,3 or 4 cars.

<u>Probability that the dealer sells between and including one and four silver cars</u>= 0.27068+ 0.40426  + 0.24151  + 0.07214  =0.72868

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4 0
3 years ago
A diner asks patrons for their preference for waffles or pancakes and syrup or fruit topping.
prohojiy [21]

Answer:

P (Waffles | Syrup)\neq P(Waffles)

Step-by-step explanation:

From the table we have to:

Probability of syrup is 0.96

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P (Waffles | Syrup) = P (Waffles and syrup) / P (syrup)

So:

If this equality is met, the probabilities are dependent, if on the contrary

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So we have to:

P (Waffles | Syrup)\neq P(Waffles)

The probabilities are dependent.

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Answer:

1

+

sec

2

(

x

)

sin

2

(

x

)

=

sec

2

(

x

)

Start on the left side.

1

+

sec

2

(

x

)

sin

2

(

x

)

Convert to sines and cosines.

Tap for more steps...

1

+

1

cos

2

(

x

)

sin

2

(

x

)

Write  

sin

2

(

x

)

as a fraction with denominator  

1

.

1

+

1

cos

2

(

x

)

⋅

sin

2

(

x

)

1

Combine.

1

+

1

sin

2

(

x

)

cos

2

(

x

)

⋅

1

Multiply  

sin

(

x

)

2

by  

1

.

1

+

sin

2

(

x

)

cos

2

(

x

)

⋅

1

Multiply  

cos

(

x

)

2

by  

1

.

1

+

sin

2

(

x

)

cos

2

(

x

)

Apply Pythagorean identity in reverse.

1

+

1

−

cos

2

(

x

)

cos

2

(

x

)

Simplify.

Tap for more steps...

1

cos

2

(

x

)

Now consider the right side of the equation.

sec

2

(

x

)

Convert to sines and cosines.

Tap for more steps...

1

2

cos

2

(

x

)

One to any power is one.

1

cos

2

(

x

)

Because the two sides have been shown to be equivalent, the equation is an identity.

1

+

sec

2

(

x

)

sin

2

(

x

)

=

sec

2

(

x

)

is an identity

Step-by-step explanation:

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