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Gre4nikov [31]
3 years ago
8

Assume that the following events are independent:

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
7 0

Answer:

D 0.61

Step-by-step explanation:


0.42

0.69

= 0.6089

Murljashka [212]3 years ago
5 0

Answer:

D) 0.61

Step-by-step explanation:

0.61

P(A|B) =  

P(A and B)

P(B)

=  

0.42

0.69

= 0.6089

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. Exam scores for a large introductory statistics class follow an approximate normal distribution with an average score of 56 an
Andru [333]

Answer:

0.1% probability that the average score of a random sample of 20 students exceeds 59.5.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 56, \sigma = 5, n = 20, s = \frac{5}{\sqrt{20}} = 1.12

What is the probability that the average score of a random sample of 20 students exceeds 59.5?

This is 1 subtracted by the pvalue of Z when X = 59.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{59.5 - 56}{1.12}

Z = 3.1

Z = 3.1 has a pvalue of 0.9990.

So there is a 1-0.9990 = 0.001 = 0.1% probability that the average score of a random sample of 20 students exceeds 59.5.

3 0
3 years ago
Solve for x. Please:)
lutik1710 [3]

Answer:

  x = 3

Step-by-step explanation:

The smaller triangle and larger one are similar, so corresponding sides are proportional.

  8/4 = (8 +(x -1))/5

  10 = x +7 . . . . . . . . . multiply by 5 and simplify

  3 = x . . . . . . . . . subtract 7

__

<em>Alternate solution</em>

The short segments are also proportional:

  (x -1)/(5 -4) = 8/4

  x -1 = 2 . . . . simplify

  x = 3 . . . . . . add 1

3 0
2 years ago
Find the solution The graph represents this system of equations.
solong [7]
The solution is the coordinates of the point of intersection 

That is (3 , 1)

Its the last choice.
7 0
3 years ago
Read 2 more answers
Consider the following hypothesis test. : : The following results are for two independent samples taken from two populations. Ex
I am Lyosha [343]

Answer:

z = -1.53 --- test statistic

p = 0.1260 --- p value

Conclusion: Fail to reject the null hypothesis.

Step-by-step explanation:

Given

n_1 = 80     \bar x_1= 104   \sigma_1 = 8.4

n_2 = 70    \bar x_2 = 106    \sigma_2 = 7.6

H_o: \mu_1 - \mu_2 = 0 --- Null hypothesis

H_a: \mu_1 - \mu_2 \ne 0 ---- Alternate hypothesis

\alpha = 0.05

Solving (a): The test statistic

This is calculated as:

z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}

So, we have:

z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}

z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}

z = \frac{-2}{\sqrt{0.8820 + 0.8251}}

z = \frac{-2}{\sqrt{1.7071}}

z = \frac{-2}{1.3066}

z = -1.53

Solving (b): The p value

This is calculated as:

p = 2 * P(Z < z)

So, we have:

p = 2 * P(Z < -1.53)

Look up the z probability in the z score table. So, the expression becomes

p = 2 * 0.0630

p = 0.1260

Solving (c): With \alpha = 0.05, what is the conclusion based on the p value

We have:

\alpha = 0.05

In (b), we have:

p = 0.1260

By comparison:

p > \alpha

i.e.

0.1260 > 0.05

So, we fail to reject the null hypothesis.

4 0
3 years ago
Lawrence is making 10 gift baskets. The table shows the food he has bought for the baskets . if the food it divided evenly , how
IrinaVladis [17]

Answer:

i cant awnser

Step-by-step explanation:

wheres the table....like i cant tell

3 0
2 years ago
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