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NNADVOKAT [17]
3 years ago
12

What is the value of 9 in 4.971? 0.009 0.09 0.9 9

Mathematics
1 answer:
amid [387]3 years ago
5 0

Answer:

0.9

Step-by-step explanation:

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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 <em>p</em> = 0.50.

The random sample selected is of size, <em>n</em> = 100.

(a)

Theorem:

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

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 <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 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. <em>n</em> = 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 <em>z</em>-table.

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

8 0
3 years ago
91/100 in simplest form
otez555 [7]
91/100 is already in simplest form
3 0
2 years ago
How can you rewrite P(z £ –1.75) in order to find the answer? P(z £ 1.75) P(z ³ -1.75) 1 - P(z £ -1.75) 1 - P(z £ 1.75)
Fudgin [204]
To rewrite it the answer is 1-P(z 1.75) D

5 0
3 years ago
Read 2 more answers
Kylie leans a 30-foot ladder against a wall so that it forms an angle of 74^{\circ}
MissTica

Answer:

8.27 ft.

Step-by-step explanation:

Using trigonometry of a right angled triangle:

cos 74 = x / 30        where x is the required distance

x = 30 cos 74

= 8.269 ft

3 0
2 years ago
The ratio (by volume) of salt and sugar in a certain mixture is 4 to 8. If the total volume of the solution is 300 cubic feet, w
Tatiana [17]
You will use the ratio 4:8 to create a part to part to whole ratio.

First simplify 4:8 to 1:2, then make it 1:2:3 (Salt:Sugar:Total).

Use this to find the volume of sugar.  2 sugars for every 3 total would be equivalent to 200 cubic feet of sugar for every 300 total cubic feet.
8 0
3 years ago
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