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charle [14.2K]
2 years ago
12

James conducted an experiment with 4 possible outcomes. He determined that the experimental probability of event A happening is

10 out of 50. The theoretical probability of event A happening is 1 out of 4. Which action is most likely to cause the experimental probability and theoretical probabilities for each event in the experiment to become closer? PLZ HAP
Mathematics
2 answers:
natulia [17]2 years ago
4 0

Answer:

Increase the number of trials to cause the experimental probability and theoretical probabilities for each event in the experiment to become closer.

Step-by-step explanation:

The probability of an event is computed by dividing the favorable outcomes by the total outcomes.

Experimental probabilities are obtained by conducting the experiment. Whereas the theoretical probabilities are computed using the theoretical values instead of actually conducting the experiment.

To get the the experimental probability and theoretical probability closer one can increase the number of trials.

In this case the experimental probability is, \frac{10}{50}=0.20

And the theoretical probability is, \frac{1}{4} = 0.25

To get the experimental probability closer to the theoretical probability the number of trials should be more than 4.

Neko [114]2 years ago
3 0
By completing the experiment a few more times and combining the results to the trails already done 
You might be interested in
In a survey of men aged 20-29 in a certain country, the mean height is 73.4 inches with a standard deviation of 2.7 inches. Find
satela [25.4K]

Answer:

The minimum height in the top 15% of heights is 76.2 inches.

Step-by-step explanation:

Problems of normally distributed samples are 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 = 73.4, \sigma = 2.7

Find the minimum height in the top 15% of heights.

This is the value of X when Z has a pvalue of 0.85. So it is X when Z = 1.04.

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

1.04 = \frac{X - 73.4}{2.7}

X - 73.4 = 1.04*2.7

X = 76.2

The minimum height in the top 15% of heights is 76.2 inches.

3 0
2 years ago
The Burns family went to breakfast at the huddle house. Mr. Burns ordered a meal for $7.75, Mrs. Burns ordered a meal for $ 9.50
kow [346]

Answer:

The bill excluding tax is $31.21 and the 20% tip was $6.24.

4 0
2 years ago
Read 2 more answers
The dot plots below show rainfall totals in the Highlands and Lowlands areas of a certain region. 2 dot plots with number lines
JulsSmile [24]

Answer: b

Step-by-step explanation: cause I know the answer/ i did the quiz

7 0
2 years ago
19. Seja 17x 51y+ 102. Qual é o valor de 9x 27y ? (A) 54 (B) 36 (C) 34 (D) 18 (E) indeterminado
lilavasa [31]

Pergunta correta:

Seja 17x + 51y = 102. Qual é o valor de 9x + 27a? (A) 54 (B) 36 (C) 34 (D) 18 (E) indeterminado

Resposta: A) 54

Explicação passo a passo:

17x + 51y = 102 - - - - equação 1

Divulgue até 17

x + 3y = 6 - - - - - - - Equação 2

9x + 27y - - - - - - - equação 3

Comparando as equações 2 e 3

(Equação 3) = 9 × (equação 2)

Isso é, 9x + 27y = 9 × (x + 3y = 6)

9x + 27y = 9x + 27y = 54

Portanto ; 9x + 27y = 54

4 0
2 years ago
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
kow [346]

Answer:

The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level.

So 292 - 240 = 52 read below or at eight grade level, and that n = 292, \pi = \frac{52}{292} = 0.178

80% confidence level

So \alpha = 0.2, z is the value of Z that has a pvalue of 1 - \frac{0.2}{2} = 0.9, so Z = 1.28.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.149

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.207

The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).

3 0
2 years ago
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