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Citrus2011 [14]
3 years ago
13

According to police sources, a car with a certain protection system will be recovered 87% of the time. Find the probability that

4 of 8 stolen cars will be recovered?
Mathematics
1 answer:
WITCHER [35]3 years ago
5 0

Answer: 0.01145

Step-by-step explanation:

We use Binomial distribution , where the probability of getting x successes in n trial is given by :-

P(x)=^nC_xp^x(1-p)^{n-x} , p = probability of getting each success in each trial.

As per given

The proportion that a car with a certain protection system will be recovered= p=0.87

n= 8

Let x be the number of cars will be recovered.

Then, the probability that 4 of 8 stolen cars will be recovered:

P(X=4)=^8C_4(0.87)^4(1-0.87)^{8-4}

=\dfrac{8!}{4!(8-4)!}(0.87)^4(0.13)^4\\\\= 70(0.57289761)(0.00028561)\\\\=0.0114537700474\approx0.01145

Hence, the required probability is 0.01145.

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The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. F
musickatia [10]

Answer:

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

P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801

And replacing we got:

P(X \geq 1) = 1-0.9801 = 0.0199

Step-by-step explanation:

Let X the random variable of interest "number of craked eggs", on this case we now that:

X \sim Binom(n=2, p=0.01)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(x \geq 1)=1-P(X

And we can find the probability:

P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801

And replacing we got:

P(X \geq 1) = 1-0.9801 = 0.0199

5 0
2 years ago
a pharmacy put 4.536 oz of vitamin pills into a bottle she put 0.042 oz of vitamin pills into each bottle how many bottles did t
MrRissso [65]

Answer:

108 bottles

Step-by-step explanation:

the total is 4.536 oz of vitamin pills

each bottle can accomodate 0.042 oz of vitamin pills

to know the quantity of each bottle

we calculate

0.042 oz of vitamin pills  = 1 bottle

4.536 oz of vitamin pills = (4.536 x 1)/0.042=108

so therefore 4.536 oz of vitamin pills will accomodate 108 bottles

5 0
2 years ago
The angle looking up at the sun is 70°. A flagpole casts a shadow of 15 ft. Draw a diagram and find the height of the flagpole
deff fn [24]

Answer:

The length of the flagpole be 41.2 ft .

Option (A) is correct .

Step-by-step explanation:

As given

The angle looking up at the sun is 70°.

A flagpole casts a shadow of 15 ft .

Now by using the trignometric identity .

tan \theta = \frac{Perpendicular}{Base}

\ theta = 70^{\circ}

tan\ 70^{\circ} = \frac{AB}{BC}

BC = 15 ft

tan 70° = 2.75 (Approx)

2.75 = \frac{AB}{15}

AB = 2.75 × 15

     = 41.2 ft

Therefore the length of the flagpole be 41.2 ft .

Option (A) is correct .

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3 years ago
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Answer:

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Step-by-step explanation:

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Enrique predicted his car payment to be $200 each month. His actual car payment is $225 each month. What is Enrique's percent er
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