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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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We have a jar of coins, all pennies and dimes. All together, we have 309 coins, and the total value of all coins in the jar is $
Vinvika [58]

There are 130 pennies in the jar

Step-by-step explanation:

We have a jar of coins

  • All coins are pennies and dimes
  • There are 309 coins in the jar
  • The total value of all coins in the jar is $ 19.2

We need to find the number of pennies in the jar

Assume that there are p pennies and d dimes in the jar

∵ There are p pennies and d dimes in the jar

∵ There are 309 coins in the jar

∵ All the coins in the jar are pennies and dimes

∴ p + d = 309 ⇒ (1)

∵ The total value of all coins in the jar is $ 19.2

∵ $1 = 100 cents

∴ $19.2 = 19.2 × 100 = 1920 cents

∵ 1 penny = 1 cent

∵ 1 dime = 10 cents

∴ p + 10 d = 1920 ⇒ (2)

Now we have system of equations, we can solve them to find p

∵ p + d = 309 ⇒ (1)

∵ p + 10 d = 1920 ⇒ (2)

- Multiply equation (1) by -10 to eliminate d

∵ (-10)(p) + (-10)(d) = (-10)(309)

∴ -10 p - 10 d = -3090 ⇒ (3)

Add equations (2) , (3)

∴ -9 p = -1170

- Divide both sides by -9

∴ p = 130

There are 130 pennies in the jar

Learn more:

You can learn more about the system of equations in brainly.com/question/3739260

#LearnwithBrainly

8 0
3 years ago
How many terms are in the expression<br><br> a3 + 3a2b - 4b - 11b + 7<br><br> 5<br> 6<br> 4<br> 7
Contact [7]

Answer:

there are 5 terms!

Step-by-step explanation:

trust me

6 0
2 years ago
Does 4/7 and 24/35 form a proportion?
nignag [31]
Well 24=4*6, and 35=7*5 not 6, so 4/7 doesn't = 24/35, so no
6 0
3 years ago
2y-____=0;y=0 HELPPPPPPP
AVprozaik [17]

Answer:

<em>D.)  0</em>

Step-by-step explanation:

Its not A.  cause 2y−2=0  is y = 1

Its not B. cause 2y−1=0  is y = 1/2

Its not C. cause 2y−3=0  is y = 3/2

Soo... The only option left is D.

It IS D. cause 2y − 0 = 0  is y=0

<em>So you are Correct!!!</em>

<em>hope I helped... <3</em>

<em>Good luck dear :)</em>

4 0
3 years ago
find the present and future value of $1000 received every month end for 20 years if the interest rate is j12=12%p.a
GenaCL600 [577]

Answer:

asasassasas

Step-by-step explanation:

4 0
3 years ago
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