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Setler79 [48]
1 year ago
15

Find the probalitywhen a pair of 8-sided fair die is rolled and the sum of the roll is greater than 9

Mathematics
1 answer:
Tresset [83]1 year ago
4 0

Odd Numbers : 1, 3, 5, 7 = 4 numbers

Total numbers on 8-sided die = 8

P(rolling an odd number) = 4/8 = 1/2

Die is defined as ceasing to live, exist, or disappear. An example of this is pulling a plant out of the ground by its roots. An example of death is when a person's heart stops and the brain stops working. stop living; dead out.

Use ``die of'' when someone dies of direct causes. We use ``die of'' when someone died from an indirect cause. "die by" is used when someone dies from something. He died of cancer.

Learn more about  die  here

brainly.com/question/14192140

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The mean per capita income is 16,127 dollars per annum with a variance of 682,276. What is the probability that the sample mean
MakcuM [25]

Answer:

0.60% probability that the sample mean would differ from the true mean by more than 104 dollars if a sample of 476 persons is randomly selected

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

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.

Central limit theorem:

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, which is also called standard error s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

The standard deviation is the square root of the variance. So

\mu = 16127, \sigma = \sqrt{682276} = 826, n = 476, s = \frac{826}{\sqrt{476}} = 37.86

What is the probability that the sample mean would differ from the true mean by more than 104 dollars if a sample of 476 persons is randomly selected

Either it differs by 104 or less dollars, or it differs by more than 104 dollars. The sum of the probabilities of these events is 100. I am going to find the probability that it differs by 104 or less dollars first.

Probability that it differs by 104 or less dollars first.

pvalue of Z when X = 16127 + 104 = 16231 subtracted by the pvalue of Z when X = 16127 - 104 = 16023. So

X = 16231

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

By the Central Limit Theorem

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

Z = \frac{16231 - 16127}{37.86}

Z = 2.75

Z = 2.75 has a pvalue of 0.9970

X = 16023

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

Z = \frac{16023 - 16127}{37.86}

Z = -2.75

Z = -2.75 has a pvalue of 0.0030

0.9970 - 0.0030 = 0.9940

99.40% probability that it differs by 104 or less.

What is the probability that the sample mean would differ from the true mean by more than 104 dollars if a sample of 476 persons is randomly selected

p + 99.40 = 100

p = 0.60

0.60% probability that the sample mean would differ from the true mean by more than 104 dollars if a sample of 476 persons is randomly selected

7 0
3 years ago
Sales Tax
kicyunya [14]

Answer: $2.40

Step-by-step explanation:

$60.00 x .04 = $2.40

8 0
2 years ago
Read 2 more answers
WILL GIVE BRAINLIEST
kifflom [539]
Speed boat departed 1.75 hrs after steam boat1.8 hrs after speed boat departure, steam boat has sailed for a total: 1.8+1.75 = 3.55 hrssteam boat's speed is 36.8 km/hr, so it has traveled: 3.55*36.8 = 130.64 km
speed boat is 86.9 km behind steam boat. so it is 130.64-86.9 = 43.74 km from portspeed boat's speed = 43.74/1.8 = 24.3 km/hr

8 0
3 years ago
Read 2 more answers
Ayuda por favor
Airida [17]

Answer:

manda una foto pls es que no me deja ver lo que has puesto

Step-by-step explanation:

8 0
2 years ago
Please answer this, I’m a bit confused...
tatuchka [14]

Answer: The distance across a rectangular field is longer distance.

So, Perimeter of rectangle would be 120 yards.

Diagonal of square would be 56.56 yards.

3 0
2 years ago
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