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3 years ago

Determine if asking 100 people which brand of car they drive is a binomial experiment or not. Explain

Mathematics

1 answer:

Leya [2.2K]3 years ago

3 0

Answer:

The provided statement is not a binomial experiment.

Step-by-step explanation:

Four conditions of a binomial experiment:

There should be fixed number of trials

Each trial is independent with respect to the others

The maximum possible outcomes are two

The probability of each outcome remains constant.

For example:

Binomial distribution: Asking 200 people if they ever visit to new york.

Not Binomial distribution: Asking 200 people how much they earn in a week.

Now, observe the provided information:

We need to determine that, asking 100 people which brand of car they drive is a binomial experiment or not.

Clearly it is not a binomial experiment because the maximum possible outcomes are not two.

Therefore, the provided statement is not a binomial experiment.

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A ferry will safely accommodate 82 tons of passenger cars. Assume that the meanweight of a passenger car is 2 tons with standard

Shalnov [3]

Answer:

The probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.

Step-by-step explanation:

Given:

Maximum safe-weight of 37 cars = 82 tons

∴ Maximum safe-weight of 1 car (x) = 82 ÷ 37 = 2.22 tons (Unitary method)

Mean weight of 1 car (μ) = 2 tons

Standard deviation of 37 cars = 0.8 tons

So, standard deviation of 1 car is given as:

$\sigma=\frac{0.8}{\sqrt{37}}=0.13$

Probability that maximum safe-weight is exceeded, P(x > 2.22) = ?

The sample is normally distributed (Assume)

Now, let us determine the z-score of the mean weight.

The z-score is given as:

$z=\frac{x-\mu}{\sigma}\\\\z=\frac{2.22-2}{0.13}\\\\z=\frac{0.22}{0.13}=1.69$

Now, finding P(x > 2.22) is same as finding P(z > 1.69).

From the z-score table of normal distribution curve, the value of area under the curve for z < 1.69 is 0.9545.

But we need the area under the curve for z > 1.69.

So, we subtract from the total area. Total area is 1 or 100%.

So, $P(z > 1.69) = 1 - P(z < 1.69)$

$P(z>1.69)=1-0.9545=0.0455\ or\ 4.55\%$

Therefore, the probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.

8 0

4 years ago

4/7 is the result when 1/2 and x are added.

kipiarov [429]

By solving the equation
1/2 +x =4/7
x = 4/7 -1/2
x= 1/14

5 0

4 years ago

A bank quotes an interest rate as 0.06341 annual effective yield. What interest rate, compounded monthly, will provide that

Leviafan [203]

9514 1404 393

Answer:

0.06164

Step-by-step explanation:

The effective annual rate obtained by compounding nominal annual rate r monthly is ...

eff rate = (1 +r/12)^12 -1

Then the value of r is ...

r = 12×((eff rate) +1)^(1/12) -1)

For the given effective rate, that is ...

r = 12×(1.06341^(1/12) -1) ≈ 0.06164 . . . . nominal annual interest rate

4 0

3 years ago

9.921 how do you round it to the nearest hundredth

Evgesh-ka [11]

$9.921\to\boxed{9.920}$

4 0

3 years ago

Read 2 more answers

What is the degree of the monomial? a. 6x2 b. −x3y3 c. 7x

sergiy2304 [10]

Answer:

a. 2

b. 6

c. 1

Step-by-step explanation:

The degree is the highest exponent on the variable in an expression

a. 2

b. 6

Both x and y have exponents of 3. To determine the degree, add the exponents together. 3+3=6

c. 1

When no exponent is present on the variable, it is always 1.

5 0

3 years ago