Help!! An infomercial selling a product for "five low monthly payments of just $99" is using

A probability calculator is required on this problem; answer to six decimal places. Suppose we will spin the wheel pictured 400

KiRa [710]

Answer:

$P(90< X< 110)= P(\frac{90-80}{8}$

And we can find this probability with this difference:

$P(90< X< 110)=P(z$

And we can find the real value with the following excel code using the binomial distribution:

"=BINOM.DIST(110,400,0.2,TRUE)-BINOM.DIST(89,400,0.2,TRUE)"

And we got 0.118 a very close value from the value obtained using the normal approximation

Step-by-step explanation:

Previous concepts

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".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=400, p=0.2)$

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:

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

We need to check the conditions in order to use the normal approximation.

$np=400*0.2=80 \geq 10$

$n(1-p)=400*(1-0.2)=320 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=400*0.2=80$

$\sigma=\sqrt{np(1-p)}=\sqrt{400*0.2(1-0.2)}=8$

So then we can approximate the random variable as $X \sim N(\mu = 80, \sigma = 8)$

And we want this probability:

$P(90< X< 110)$

We can use the z score formula given by:

$z = \frac{x -\mu}{\sigma}$

And replacing we got:

$P(90< X< 110)= P(\frac{90-80}{8}$

And we can find this probability with this difference:

$P(90< X< 110)=P(z$

And we can find the real value with the following excel code using the binomial distribution:

"=BINOM.DIST(110,400,0.2,TRUE)-BINOM.DIST(89,400,0.2,TRUE)"

And we got 0.118 a very close value from the value obtained using the normal approximation

8 0

2 years ago

Alayna parks her car in a lot that charges by the quarter hour. The table shows the parking fee, in dollars, with respect to the

riadik2000 [5.3K]

Answer:

time should be placed on the independent/y-axis

parking fee should be placed on the dependent/x-axis

Step-by-step explanation:

good luck.

give me brainliest please:)

7 0

2 years ago

What is the interquartile range of the data set?

Fantom [35]

The interquartile range (IQR) is a measure of variability, based on dividing a data setinto quartiles. Quartiles divide a rank-ordered data set into four equal parts. The values that divide each part are called the first, second, and third quartiles; and they are denoted by Q1, Q2, and Q3, respectively.

5 0

2 years ago

Read 2 more answers

Leicestershire Renovations has a history of problems with customers who do not pay their bills on time. Leicestershire Renovatio

Flauer [41]

Complete Question.

Leicestershire Renovations has a history of problems with customers who do not pay their bills on time.

Leicestershire Renovations wants to improve its cash situation, reduce bad debts, and reduce credit-collection

costs. Which of the following forms of pricing would most likely help the firm achieve its goal?

a. zone pricing

b. quantity discounts

c. cash discounts

d. by product pricing

e. product bundling

Answer:

c. Cash discounts.

Step-by-step explanation:

Cash discount is a reduction in the amount of an invoice allowed by some sellers of goods or service providers so as to encourage service takers or coients to pay within a specified period of time.

For the client or customer, it is known as the purchase discount while it is a sales discount for the service providers.

Cash discount will help Leicestershire Renovations improve its cash situation, reduce bad debts and reduce credit-collection

7 0

2 years ago

Minute Maid states that a bottle of juice contains 473 mL. Consumer groups are interested in determining if the bottles contain

olga2289 [7]

Answer:

Option C) The average contents of all bottles of juice in the population, which is 473 mL

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 473 mL

Sample mean, $\bar{x}$ = 472 mL

Sample size, n = 30

Sample standard deviation, σ = 0.2

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 473\text{ mL}\\H_A: \mu < 473\text{ mLinches}$

Representation of $\mu$

$\mu$ is the population parameter that represents the population mean.

Thus, for the given situation $\mu$ represents:

Option C) The average contents of all bottles of juice in the population, which is 473 mL

6 0

2 years ago