What is the segment length of ST

The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 10% of his custome

Rainbow [258]

Answer:

0.55% probability that exactly 5 out of the first 13 customers buy a magazine

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they buy a magazine, or they do not. The probability of a customer buying a magazine is independent of other customers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

10% of his customers buy a magazine

This means that $P = 0.1$

What is the probability that exactly 5 out of the first 13 customers buy a magazine?

This is P(X = 5) when n = 13. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 5) = C_{13,5}.(0.1)^{5}.(0.9)^{8} = 0.0055$

0.55% probability that exactly 5 out of the first 13 customers buy a magazine

3 0

3 years ago

Read 2 more answers

___________is an expected error based only on the observations limited to a sample taken from a population

IgorLugansk [536]

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▹ Answer

1. Sampling error

▹ Step-by-Step Explanation

A sampling error is an error in statistics. This means that not the whole population is given a chance to be sampled, which results in this error.

Hope this helps!

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Brainliest is greatly appreciated!

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3 0

3 years ago

PLEASE HELP SHOW WORK

mixer [17]

Answer:

Sadie's family car is more fuel efficient.

Step-by-step explanation:

Given;

Sadie's family car rating, S = 42 miles per gallon

Nanette's family car rating, N = 6 liters per 100 km

Sadie's family car rating, in liters per 100 km

$= \frac{42 \ miles}{gallon} *\frac{1.609 \ km}{1 \ mile}*\frac{1 \ gallon}{3.79 \ liters} \\\\ = (\frac{42*1.609}{3.79} )\frac{km}{liter}\\\\ = (\frac{3.79}{42*1.609} )\frac{liter}{km}\\\\=(\frac{3.79}{42*1.609} )(\frac{100}{100}) \frac{liter}{km}\\\\= (\frac{3.79*100}{42*1.609} )(\frac{1}{100}) \frac{liter}{km}\\\\= (\frac{3.79*100}{42*1.609} ) \frac{liter}{100\ km}\\\\= 5.61 (\frac{liter}{100\ km})\\\\= \frac{5.61 \ liters}{100 \ km}$

Also, Nanette's family car rating, in liters per 100 km = 6 liters / 100km.

Thus, Sadie's family car uses lesser fuel, because of this Sadie's family car is more fuel efficient.

8 0

3 years ago

An airplane pilot over the Pacific sights a ship wreck at an angle of depression of 5°. At this time, the horizontal distance fr

enot [183]

Answer:

The height of the plane is 405 meters

Step-by-step explanation:

Trigonometric Ratios

The situation can be represented as shown in the image below. The ground, the height H, and the direct distance to the plane to the shipwreck form a right triangle, where the trigonometric ratios stand.

Since the known distance is adjacent to the angle, and the required height is opposite to the given angle, we use the tangent ratio, defined as:

$\displaystyle \tan\ x=\frac{\text{opposite leg}}{\text{adjacent leg}}$