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Margarita [4]
3 years ago
6

Find the value of x(20 question in the photo

Mathematics
1 answer:
liberstina [14]3 years ago
7 0

Answer:

its probly 50 i might be wrong tho.

Step-by-step explanation:

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Compute​ P(x) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate thi
stich3 [128]

Answer:

The answers to the questions are;

A) P(X) where x = 12 is equal to 3.55 ×10⁻²

B) P(x) using the normal distribution is given by the probability distribution function and is equal to 3.453 ×10⁻²

C) The calculated probabilities of P(x=12) using the binomial probability formula and the probability distribution function differ by 9.7×10⁻⁴

D) The normal distribution be used to approximate this probability because     a. because np(1-p) %u2265 ⇒ np(1-p) ≥ 10

E) c. the value of fi represents the expected proportion of observation less than or equal to the ith data value.

Step-by-step explanation:

To solve the question, we note that

n = 58

p = 0.3

x = 12

Here we have n·p = 17.4 and n·q = 40.6 both ≥ 5 that is the normal distribution can be used to estimate the probability

A) We are to use the binomial probability formula to find P(X)

Where x = 12, we have P(12) = ₅₈C₁₂×0.3¹²×0.7⁴⁶

= 891794789340×0.000000531441×7.49×10⁻⁸ = 3.55 ×10⁻²

B) Using the standard distribution table we have

the z score for x = 12 given as z = \frac{x-\mu}{\sigma} = -1.55

From the normal distribution table, we have the probability that value is below 12 = .06057 while the normal probability distribution function which gives the probability of a number being 12 is given by

\frac{1}{\sigma\sqrt{2 \pi } } e^{\frac{-(x-\mu)^2}{2\sigma^2} }

where:

σ = Standard deviation = \sqrt{npq} = \sqrt{np(1-p)} = \sqrt{58*0.3*(1-0.3)} = 3.48999

μ = Sample mean = n·p = 58×0.3 =17.4

Therefore the probability density function is \frac{1}{3.49\sqrt{2 \pi } } e^{\frac{-(12-17.4)^2}{2*3.49^2} } = 3.453*10^{-2}

C)  The probabilities differ by 3.55 ×10⁻² -  3.453 ×10⁻² =  9.7×10⁻⁴

D) The normal distribution be used to approximate this probability because     n·p and n·p·(n-p) ≥ 5

E)   f_i represents the area under the curve towards left of the ith data observed in a normally distributed population.

Therefore, the value of fi represents the expected proportion of observation less than or equal to the ith data value  

5 0
2 years ago
Suppose speeds of vehicles traveling on a highway have an unknown distribution with mean 63 and standard deviation 4 miles per h
Mashutka [201]

Answer:

The standard deviation for the sample mean distribution=0.603

Step-by-step explanation:

We are given that

Mean,\mu=63

Standard deviation,\sigma=4

n=44

We have to find the standard deviation for the sample mean distribution using  Central Limit Theorem for Means.

Standard deviation for the sample mean distribution

\sigma_x=\frac{\sigma}{\sqrt{n}}

Using the formula

\sigma_x=\frac{4}{\sqrt{44}}

\sigma_x=\frac{4}{\sqrt{2\times 2\times 11}}

\sigma_x=\frac{4}{2\sqrt{11}}

\sigma_x=\frac{2}{\sqrt{11}}

\sigma_x=0.603

Hence, the standard deviation for the sample mean distribution=0.603

6 0
2 years ago
REWARDING 95 POINTS Which statement is true? Select all that apply.
densk [106]

Answer:

Answer D

Step-by-step explanation:

3 0
3 years ago
A flashlight and battery sell together for $9. If the flashlight costs $5 more than the battery, what is the price of each item?
MatroZZZ [7]
The flashlight cost 7 dollars and the batter is 2 dollars
7 0
2 years ago
Read 2 more answers
Someone help plz!! I will give Brainlist!
ElenaW [278]

Answer: -3

mark me brainiest very easy  answer

8 0
3 years ago
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