Please help me with the work please help

According to a survey, 18% of the car owners said that they get the maintenance service done on their cars according to the sche

Annette [7]

Answer:

a) For this case we define the random variable X="number of car owners in a random sample of 12 who get the maintenance service done on their cars according to the schedule recommended by the auto company". And for this case the distribution for X is:

$X \sim Binom (n =12, p=0.18)$

And the possible values for the random variable are X=0,1,2,3,4,5,6,7,8,9,10,11,12

b) Using the probability mass function we got:

$P(X=3)=(12C3)(0.18)^3 (1-0.18)^{12-3}=0.21506$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

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:

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

Solution to the problem

Part a

For this case we define the random variable X="number of car owners in a random sample of 12 who get the maintenance service done on their cars according to the schedule recommended by the auto company". And for this case the distribution for X is:

$X \sim Binom (n =12, p=0.18)$

And the possible values for the random variable are X=0,1,2,3,4,5,6,7,8,9,10,11,12

Part b

Find to 3 decimal places the probability that exactly 3 car owners in a random sample of 12 get the maintenance service done on their cars according to the schedule recommended by the auto company.

Using the probability mass function we got:

$P(X=3)=(12C3)(0.18)^3 (1-0.18)^{12-3}=0.21506$

6 0

3 years ago

The equation y = 18x describes the amount of money Spongebob earns as a fry cook, where x is the

Lynna [10]

Answer:

a. 18 dollars per hour

b. 16 dollars per hour

Step-by-step explanation:

for a, 18 is the slope of y=18x, meaning spongebob earns 18 dollars per hour

for b, since it seems like squidward earns 32 dollars every 2 hours, it can be guessed that he earns 16 dollars per hour, since 32/2 = 16

4 0

3 years ago

5 3/4 x 3/4 what is the awsner to this

attashe74 [19]

Answer:

khbjgfhherxgseidk

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

Plz help!! first right answer for both gets the award<br>

Shalnov [3]

Answer:

A:in order:24,2,12,2,3 in order:84,2,42,7,3 B:168

Step-by-step explanation:

A)divide the top number by the bottom left

B)LCM of 24 and 84

6 0

3 years ago

-PLEASE ANSWER- An experiment was repeated a number of times and the following measurements were obtained:

gladu [14]

Answer:

Step-by-step explanation:

From the given data, it can be observed that there are two number that are abnormal and extremely different from others, 322 and 19. Eliminating these two numbers would reduce the error that can be generated.

Then to obtain the best single result from the measurements, find the mean of the other numbers.

i.e 52.3, 52.5, 52.2, 52.6

Mean = $\frac{52.3 + 52.5 + 52.2 + 52.6}{4}$

= $\frac{209.6}{4}$

= 52.4

Thus the best single result that can be obtained is 52.4.

3 0

3 years ago