Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to work, 35% bring a laptop with them, 16% both check work email and use a cell phone to stay connected, and 42.8% neither check work email nor use a cell phone to stay connected nor bring a laptop. In addition, 88 out of every 100 who bring a laptop also check work email, and 70 out of every 100 who use a cell phone to stay connected also bring a laptop.
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?

Answers

Answer 1

Answer:

a. 0.4

b. 0.6

c. 0.6493

Step-by-step explanation:

p(checking work email) = p(A) = 0.40

p(staying connected with cell phone) = p(B) = 0.30

p(having laptop) = p(c) = 0.35

p(checking work mail and staying connected with cell phone) = p(AnB) = 0.16

p(neither A,B or C) = p(AuBuC)

= 1-42.8%

= 0.572

p(A|C) = 88% = 0.88

p(C|B) = 70% = 0.7

a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?

p(B|A) = p(AnB)/p(A)

= 0.16/0.4

= 0.4

b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?

p(B|C) = P(C|B)p(B)/p(C)

= 0.7x0.3/0.35

= 0.6

c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?

p(A|BnC)

= P(BnAnC)/p(AnC)

= p(AnC) = p(A|C).p(C)

= 0.88x0.35

= 0.308

p(AnBnC) = p(AuBuC)-p(a)-p(b)+ p(AnB)+p(AnC)+p(BnC)

p(BnC) = 0.7x0.3

= 0.21

p(AnBnC) = 0.572-0.4-0.3-0.35+0.16+0.308+0.21

= 0.2

p(A|BnC) = 0.2/0.308

= 0.6493

Answer 2

Answer:

which ever one you want its an opinion answer.

Step-by-step explanation:


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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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To find this answer, you must first find the least common denominator of both fractions. In this case, the LCD is 36.

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Step-by-step explanation:

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Answer:

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○=> Solution (6) :

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[tex] =\tt \frac{36}{6} = \frac{18}{3} [/tex]

▪︎Therefore, the fractional number [tex] \tt \frac{18}{3} [/tex] is equal to [tex] \tt \frac{36}{6} [/tex].

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Answers

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Answers

Answer:

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Step-by-step explanation:

hoped I helped:)

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer:

4.242;

$500.276 ; $46.724

Step-by-step explanation:

Given the regression equation :

value = -123.298 + 4.242 revenue

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y = team value ; x = Revenue

(a) What is the slope of this line?

From ;

y = mx + c

Where ; m = slope

Comparing the equation with, the model equation ;

mx = 4.242x ; Hence, slope, m = 4.242

(b) The HORNETS are the NBA's most valuable team, valued at $547 million, with $147 million in revenue. Use the line to predict the value of the HORNETS from their revenue.

Predicted value of hornets based on their revenue :

Revenue = $147,000,000

y = - 123.298 + 4.242(147)

y = - 123.298 + 623.574

y = 500.276

Predicted value is about $500.276 million.

What is the error in this prediction?:

Error = Actual - predicted value

Error = 547 - 500.276 = $46.724 million

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Answers

Answer:

line p matches with the first equation

Step-by-step explanation:

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Answers

Answer:

so

Step-by-step explanation:

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The weight of the walnuts alone is 360 pounds

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x + 3 = 4 is an equation.

We have,

Number of craters of walnuts = 10

Weight of 10 craters of walnuts = 370 pounds

Weight of empty crate = 10 pounds

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This can be written as an equation:

M + 10 = 370

Subtract 10 on both sides.

M = 370 - 10

M = 360 pounds

Thus,

The weight of the walnuts alone is 360 pounds

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Answers

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