Marie bought a shirt on sale. The original price of the shirt was $40. What is the sale price of the shirt after a 20% discount?

We have n = 100 many random variables Xi ’s, where the Xi ’s are independent and identically distributed Bernoulli random variab

777dan777 [17]

Answer:

(a) The distribution of $X=\sum\limits^{n}_{i=1}{X_{i}}$ is a Binomial distribution.

(b) The sampling distribution of the sample mean will be approximately normal.

(c) The value of $P(\bar X>0.50)$ is 0.50.

Step-by-step explanation:

It is provided that random variables $X_{i}$ are independent and identically distributed Bernoulli random variables with p = 0.50.

The random sample selected is of size, n = 100.

(a)

Theorem:

Let $X_{1},\ X_{2},\ X_{3},...\ X_{n}$ be independent Bernoulli random variables, each with parameter p, then the sum of of thee random variables, $X=X_{1}+X_{2}+X_{3}...+X_{n}$ is a Binomial random variable with parameter n and p.

Thus, the distribution of $X=\sum\limits^{n}_{i=1}{X_{i}}$ is a Binomial distribution.

(b)

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

The sample size is large, i.e. n = 100 > 30.

So, the sampling distribution of the sample mean will be approximately normal.

The mean of the distribution of sample mean is given by,

$\mu_{\bar x}=\mu=p=0.50$

And the standard deviation of the distribution of sample mean is given by,

$\sigma_{\bar x}=\sqrt{\frac{\sigma^{2}}{n}}=\sqrt{\frac{p(1-p)}{n}}=0.05$

(c)

Compute the value of $P(\bar X>0.50)$ as follows:

$P(\bar X>0.50)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{0.50-0.50}{0.05})\\$

$=P(Z>0)\\=1-P(Z$

*Use a z-table.

Thus, the value of $P(\bar X>0.50)$ is 0.50.

8 0

3 years ago

Professor Harris is teaching a continuing education class at the local community college. He created the following box plot from

inessss [21]

Answer:

b

Step-by-step explanation:

4 0

3 years ago

M+4+2-7m+6 I need to find how many’s terms are in it and what are the terms

madreJ [45]

Answer:

5 terms: m, 4, 2, -7m, 6 are the terms in question.

Step-by-step explanation:

Note that terms here are separated from one another by either + or - signs.

m + 4 consists of two terms, since m and 4 are separated by the + operator.

2 - 7m are separated by the - operator, and so there are two terms here.

Completing the counting procedure, we get:

m (first term) + 4 (second term) + 2 (third term -7m (fourth term) + 6 (fifth term).

So, if we do NOT combine like terms, we have five (5) terms altogether.

If we DO combine like terms, we end up with two (2) terms:

m -7m + 4 + 2 + 6, or -6m + 12, or two (2) terms.

5 0

2 years ago

Maclaurin series of sinx

olga nikolaevna [1]

Answer:

cos(u) and sin(u) can be expanded in with a Maclaurin series, and cos(c) and sin(c) are constants.

Step-by-step explanation:

thats it

7 0

3 years ago

HALPPP ILL GIVE BRAINALIST

Anestetic [448]

Answer:

1. 2 1/4

2. 8.25

3. 8 6/8

4. 51.18

5. 56.875

6. $6.22

7. 62.14

Step-by-step explanation:

8 0

2 years ago