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icang [17]
2 years ago
15

A company surveyed 2,600 North American airline passengers and reported that approximately 75% said that they carry a smartphone

when they travel. Suppose that the actual percentage is 75%. Consider randomly selecting six passengers and define the random variable x to be the number of the six selected passengers who travel with a smartphone. The probability distribution of x is the binomial distribution with n
Mathematics
1 answer:
geniusboy [140]2 years ago
4 0

The probability that exactly six out of ten carry a smartphone when travelling is; <u><em>P(6) = 0.146</em></u>

The missing part of the question is;

The probability distribution of x is the binomial distribution with n = 10 and p = 0.75.

Calculate P(6)

  • This is a binomial <em>probability distribution</em> problem that has a general formula as; P(x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾

Where;

p is probability of success

q is probability of failure

n is number of experiments

In this question;

n = 10

p = 75% = 0.75

q = 1 - p

q = 1 - 0.75

q = 0.25

Since six passengers are randomly selected, then applying the formula earlier quoted, we have;

P(6) = ¹⁰C₆ × 0.75⁶ × 0.25⁽¹⁰ ⁻ ⁶⁾

P(6) = 0.146

Read more at; brainly.com/question/24239758

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Answer: \$25.201

Step-by-step explanation:

Given

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The amount which is withheld from the person paycheck is

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7 0
3 years ago
X + y = -1<br> 4x - 2y = -16
djyliett [7]

Answer:

x=-3 \\and\\ y=2

Step-by-step explanation:

x + y = -1       Equation:1

4x - 2y = -16    Equation:2

Solving Equation:1

x+y=-1

Subtracting 'y' from both the sides:

x+y-y=-1-y\\\\x=-1-y

Putting 'x' in Equation :2

       4(-1-y)-2y=-16\\\\-4-4y-2y=-16\\\\-4-6y=-16

Adding '4' both the sides

          -6y=-16+4\\\\-6y=-12\\\\y=-12/-6\\\\y=2

Putting the value of 'y' in equation:1

           x+y=-1

           x+(2)=-1\\\\x=-1-2\\\\x=-3\\

The solution is:

          x=-3 \\and\\ y=2

6 0
2 years ago
Is this answer correct
Kobotan [32]
Yes, that looks right.
6 0
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